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55778480640 = 293252420941
BaseRepresentation
bin110011111100101010…
…000001001000000000
312022222022001101212100
4303330222001020000
51403213242340030
641342502230400
74013146156041
oct637452011000
9168868041770
1055778480640
1121723553093
12a988125400
13534bc8863c
1429b1d588c8
1516b6d22360
hexcfca81200

55778480640 has 120 divisors (see below), whose sum is σ = 193176645948. Its totient is φ = 14874255360.

The previous prime is 55778480623. The next prime is 55778480663. The reversal of 55778480640 is 4608487755.

55778480640 is a `hidden beast` number, since 5 + 57 + 78 + 480 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51307686144 + 4470794496 = 226512^2 + 66864^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×557784806402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1187431 + ... + 1233510.

Almost surely, 255778480640 is an apocalyptic number.

It is an amenable number.

55778480640 is an abundant number, since it is smaller than the sum of its proper divisors (137398165308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55778480640 is a wasteful number, since it uses less digits than its factorization.

55778480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420970 (or 2420951 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 55778480640 in words is "fifty-five billion, seven hundred seventy-eight million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 2420941 4841882 7262823 9683764 12104705 14525646 19367528 21788469 24209410 29051292 36314115 38735056 43576938 48418820 58102584 72628230 77470112 87153876 96837640 108942345 116205168 145256460 154940224 174307752 193675280 217884690 232410336 290512920 309880448 348615504 387350560 435769380 464820672 581025840 619760896 697231008 774701120 871538760 929641344 1162051680 1239521792 1394462016 1549402240 1743077520 1859282688 2324103360 2788924032 3098804480 3486155040 3718565376 4648206720 5577848064 6197608960 6972310080 9296413440 11155696128 13944620160 18592826880 27889240320 55778480640