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13844325693984 = 253197590090841
BaseRepresentation
bin1100100101110110001000…
…0111010111101000100000
31211000111121212020211100220
43021131202013113220200
53303311134334201414
645235555002243040
72626135203523062
oct311354207275040
954014555224326
1013844325693984
114458388a2a435
1216771587b6480
1379568bc31886
1435c0d724d732
151901c90bcca9
hexc97621d7a20

13844325693984 has 48 divisors (see below), whose sum is σ = 38254057843680. Its totient is φ = 4371892323840.

The previous prime is 13844325693983. The next prime is 13844325694019. The reversal of 13844325693984 is 48939652344831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×138443256939842 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13844325693983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3795043597 + ... + 3795047244.

It is an arithmetic number, because the mean of its divisors is an integer number (796959538410).

Almost surely, 213844325693984 is an apocalyptic number.

It is an amenable number.

13844325693984 is an abundant number, since it is smaller than the sum of its proper divisors (24409732149696).

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

13844325693984 is a wasteful number, since it uses less digits than its factorization.

13844325693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590090873 (or 7590090865 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 69.

The spelling of 13844325693984 in words is "thirteen trillion, eight hundred forty-four billion, three hundred twenty-five million, six hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7590090841 15180181682 22770272523 30360363364 45540545046 60720726728 91081090092 121441453456 144211725979 182162180184 242882906912 288423451958 364324360368 432635177937 576846903916 728648720736 865270355874 1153693807832 1730540711748 2307387615664 3461081423496 4614775231328 6922162846992 13844325693984