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99380641992256 = 26372336792
BaseRepresentation
bin10110100110001011011011…
…110111010000111001000000
3111000212200210210221210100201
4112212023123313100321000
5101011223023322223011
6551210500415054544
726635004645012662
oct2646133367207100
9430780723853321
1099380641992256
1129736103613979
12b190773b11454
13435b728b1ccb1
141a78097a40532
15b751ba24acc1
hex5a62dbdd0e40

99380641992256 has 63 divisors (see below), whose sum is σ = 202688491046769. Its totient is φ = 48345903813888.

The previous prime is 99380641992197. The next prime is 99380641992263. The reversal of 99380641992256 is 65229914608399.

The square root of 99380641992256 is 9968984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 88927163214400 + 10453478777856 = 9430120^2 + 3233184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2950802425 + ... + 2950836103.

It is an arithmetic number, because the mean of its divisors is an integer number (3217277635663).

Almost surely, 299380641992256 is an apocalyptic number.

99380641992256 is the 9968984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99380641992256

99380641992256 is an abundant number, since it is smaller than the sum of its proper divisors (103307849054513).

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

99380641992256 is an frugal number, since it uses more digits than its factorization.

99380641992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67444 (or 33718 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 73.

The spelling of 99380641992256 in words is "ninety-nine trillion, three hundred eighty billion, six hundred forty-one million, nine hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1369 2368 2738 5476 10952 21904 33679 43808 67358 87616 134716 269432 538864 1077728 1246123 2155456 2492246 4984492 9968984 19937968 39875936 46106551 79751872 92213102 184426204 368852408 737704816 1134275041 1475409632 2268550082 2950819264 4537100164 9074200328 18148400656 36296801312 41968176517 72593602624 83936353034 167872706068 335745412136 671490824272 1342981648544 1552822531129 2685963297088 3105645062258 6211290124516 12422580249032 24845160498064 49690320996128 99380641992256