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99003363904 = 2637210632
BaseRepresentation
bin101110000110100001…
…1110111001001000000
3100110112201021222112201
41130031003313021000
53110224330121104
6113252001402544
710103252464624
oct1341503671100
9313481258481
1099003363904
1138a948aa705
1217230039454
13944a1ac743
144b1294b184
1528969c00a4
hex170d0f7240

99003363904 has 63 divisors (see below), whose sum is σ = 202103155737. Its totient is φ = 48118489344.

The previous prime is 99003363887. The next prime is 99003363911. The reversal of 99003363904 is 40936330099.

The square root of 99003363904 is 314648.

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., 88589569600 + 10413794304 = 297640^2 + 102048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 93135277 + ... + 93136339.

It is an arithmetic number, because the mean of its divisors is an integer number (3207986599).

Almost surely, 299003363904 is an apocalyptic number.

99003363904 is the 314648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99003363904

99003363904 is an abundant number, since it is smaller than the sum of its proper divisors (103099791833).

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

99003363904 is an frugal number, since it uses more digits than its factorization.

99003363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 46.

The spelling of 99003363904 in words is "ninety-nine billion, three million, three hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1063 1184 1369 2126 2368 2738 4252 5476 8504 10952 17008 21904 34016 39331 43808 68032 78662 87616 157324 314648 629296 1129969 1258592 1455247 2259938 2517184 2910494 4519876 5820988 9039752 11641976 18079504 23283952 36159008 41808853 46567904 72318016 83617706 93135808 167235412 334470824 668941648 1337883296 1546927561 2675766592 3093855122 6187710244 12375420488 24750840976 49501681952 99003363904