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1472231296896 = 27313988331237
BaseRepresentation
bin10101011011000111110…
…100101100111110000000
312012202002022220212021020
4111123013310230332000
5143110112203000041
63044200030025440
7211236156355323
oct25330764547600
95182068825236
101472231296896
11518408205788
121b93b3348280
13a8aa53c0239
14513836c87ba
15284695c0866
hex156c7d2cf80

1472231296896 has 128 divisors (see below), whose sum is σ = 3943335177600. Its totient is φ = 486645884928.

The previous prime is 1472231296883. The next prime is 1472231296937. The reversal of 1472231296896 is 6986921322741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47115390 + ... + 47146626.

It is an arithmetic number, because the mean of its divisors is an integer number (30807306075).

Almost surely, 21472231296896 is an apocalyptic number.

1472231296896 is a gapful number since it is divisible by the number (16) 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 1472231296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971667588800).

1472231296896 is an abundant number, since it is smaller than the sum of its proper divisors (2471103880704).

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

1472231296896 is a wasteful number, since it uses less digits than its factorization.

1472231296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32276 (or 32264 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The spelling of 1472231296896 in words is "one trillion, four hundred seventy-two billion, two hundred thirty-one million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 883 1112 1668 1766 2224 2649 3336 3532 4448 5298 6672 7064 8896 10596 13344 14128 17792 21192 26688 28256 31237 42384 53376 56512 62474 84768 93711 113024 122737 124948 169536 187422 245474 249896 339072 368211 374844 490948 499792 736422 749688 981896 999584 1472844 1499376 1963792 1999168 2945688 2998752 3927584 3998336 4341943 5891376 5997504 7855168 8683886 11782752 11995008 13025829 15710336 17367772 23565504 26051658 27582271 34735544 47131008 52103316 55164542 69471088 82746813 104206632 110329084 138942176 165493626 208413264 220658168 277884352 330987252 416826528 441316336 555768704 661974504 833653056 882632672 1323949008 1667306112 1765265344 2647898016 3530530688 3833935669 5295796032 7667871338 10591592064 11501807007 15335742676 23003614014 30671485352 46007228028 61342970704 92014456056 122685941408 184028912112 245371882816 368057824224 490743765632 736115648448 1472231296896