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93909201336976 = 2489216321672
BaseRepresentation
bin10101010110100011110000…
…100101100011101010010000
3110022111122001201001222120011
4111112203300211203222100
544302102021020240401
6531421142545124304
725531500360546634
oct2526436045435220
9408448051058504
1093909201336976
1127a16739a46353
12a648295629694
1340527a468b70c
141929330026dc4
15accbd92e9451
hex5568f0963a90

93909201336976 has 135 divisors (see below), whose sum is σ = 186267615981321. Its totient is φ = 45865891982592.

The previous prime is 93909201336877. The next prime is 93909201336983. The reversal of 93909201336976 is 67963310290939.

The square root of 93909201336976 is 9690676.

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., 18032558418576 + 75876642918400 = 4246476^2 + 8710720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 562330546845 + ... + 562330547011.

Almost surely, 293909201336976 is an apocalyptic number.

93909201336976 is the 9690676-th square number.

It is an amenable number.

93909201336976 is a deficient number, since it is larger than the sum of its proper divisors (92358414644345).

93909201336976 is an frugal number, since it uses more digits than its factorization.

93909201336976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 89282088, while the sum is 67.

The spelling of 93909201336976 in words is "ninety-three trillion, nine hundred nine billion, two hundred one million, three hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 89 163 167 178 326 334 356 652 668 712 1304 1336 1424 2608 2672 7921 14507 14863 15842 26569 27221 27889 29014 29726 31684 53138 54442 55778 58028 59452 63368 106276 108884 111556 116056 118904 126736 212552 217768 223112 232112 237808 425104 435536 446224 1291123 1322807 2364641 2422669 2482121 2582246 2645614 4437023 4545907 4729282 4845338 4964242 5164492 5291228 8874046 9091814 9458564 9690676 9928484 10328984 10582456 17748092 18183628 18917128 19381352 19856968 20657968 21164912 35496184 36367256 37834256 38762704 39713936 70992368 72734512 210453049 215617541 220908769 394895047 404585723 420906098 431235082 441817538 740982841 789790094 809171446 841812196 862470164 883635076 1481965682 1579580188 1618342892 1683624392 1724940328 1767270152 2963931364 3159160376 3236685784 3367248784 3449880656 3534540304 5927862728 6318320752 6473371568 11855725456 35145659183 36008129347 65947472849 70291318366 72016258694 131894945698 140582636732 144032517388 263789891396 281165273464 288065034776 527579782792 562330546928 576130069552 1055159565584 5869325083561 11738650167122 23477300334244 46954600668488 93909201336976