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2056761616 = 247139714563
BaseRepresentation
bin111101010010111…
…1011000100010000
312022100011022112011
41322211323010100
513203012332431
6540031312304
7101653120360
oct17245730420
95270138464
102056761616
11965a96498
1249497b694
1326a15c310
141572329a0
15c0875cb1
hex7a97b110

2056761616 has 80 divisors (see below), whose sum is σ = 4955488384. Its totient is φ = 805220352.

The previous prime is 2056761611. The next prime is 2056761631. The reversal of 2056761616 is 6161676502.

It is not an unprimeable number, because it can be changed into a prime (2056761611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133951 + ... + 148513.

Almost surely, 22056761616 is an apocalyptic number.

2056761616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056761616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477744192).

2056761616 is an abundant number, since it is smaller than the sum of its proper divisors (2898726768).

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

2056761616 is a wasteful number, since it uses less digits than its factorization.

2056761616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14682 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 2056761616 is about 45351.5337778117. The cubic root of 2056761616 is about 1271.7292285217.

The spelling of 2056761616 in words is "two billion, fifty-six million, seven hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 97 104 112 182 194 208 364 388 679 728 776 1261 1358 1456 1552 2522 2716 5044 5432 8827 10088 10864 14563 17654 20176 29126 35308 58252 70616 101941 116504 141232 189319 203882 233008 378638 407764 757276 815528 1325233 1412611 1514552 1631056 2650466 2825222 3029104 5300932 5650444 9888277 10601864 11300888 18363943 19776554 21203728 22601776 36727886 39553108 73455772 79106216 128547601 146911544 158212432 257095202 293823088 514190404 1028380808 2056761616