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54463703872 = 26103109229331
BaseRepresentation
bin110010101110010010…
…100010101101000000
312012120200001211012111
4302232102202231000
51343020202010442
641004214105104
73635442562444
oct625622425500
9165520054174
1054463703872
1121109382916
12a67b94b194
13519c778816
1428c94ac824
15163b6b3b17
hexcae4a2b40

54463703872 has 112 divisors (see below), whose sum is σ = 110941916800. Its totient is φ = 26523002880.

The previous prime is 54463703857. The next prime is 54463703873. The reversal of 54463703872 is 27830736445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54463703873) 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, 164542747 + ... + 164543077.

Almost surely, 254463703872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54463703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55470958400).

54463703872 is an abundant number, since it is smaller than the sum of its proper divisors (56478212928).

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

54463703872 is a wasteful number, since it uses less digits than its factorization.

54463703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 54463703872 in words is "fifty-four billion, four hundred sixty-three million, seven hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 103 109 206 218 229 331 412 436 458 662 824 872 916 1324 1648 1744 1832 2648 3296 3488 3664 5296 6592 6976 7328 10592 11227 14656 21184 22454 23587 24961 34093 36079 44908 47174 49922 68186 72158 75799 89816 94348 99844 136372 144316 151598 179632 188696 199688 272744 288632 303196 359264 377392 399376 545488 577264 606392 718528 754784 798752 1090976 1154528 1212784 1509568 1597504 2181952 2309056 2425568 2570983 3716137 4851136 5141966 7432274 7807297 8262091 10283932 14864548 15614594 16524182 20567864 29729096 31229188 33048364 41135728 59458192 62458376 66096728 82271456 118916384 124916752 132193456 164542912 237832768 249833504 264386912 499667008 528773824 850995373 1701990746 3403981492 6807962984 13615925968 27231851936 54463703872