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96970664175 = 35271143390499
BaseRepresentation
bin101101001001111100…
…1101110100011101111
3100021022001102010201120
41122103321232203233
53042043442223200
6112314145512023
710002011021430
oct1322371564357
9307261363646
1096970664175
1138141459280
1216963342613
1391b5026638
14499c9bd487
1527c82ed9a0
hex1693e6e8ef

96970664175 has 96 divisors (see below), whose sum is σ = 204534528000. Its totient is φ = 39362198400.

The previous prime is 96970664149. The next prime is 96970664221. The reversal of 96970664175 is 57146607969.

It is not a de Polignac number, because 96970664175 - 26 = 96970664111 is a prime.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 53076 + ... + 443574.

It is an arithmetic number, because the mean of its divisors is an integer number (2130568000).

Almost surely, 296970664175 is an apocalyptic number.

96970664175 is an abundant number, since it is smaller than the sum of its proper divisors (107563863825).

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

96970664175 is a wasteful number, since it uses less digits than its factorization.

96970664175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390573 (or 390568 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 96970664175 in words is "ninety-six billion, nine hundred seventy million, six hundred sixty-four thousand, one hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 43 55 75 77 105 129 165 175 215 231 275 301 385 473 525 645 825 903 1075 1155 1419 1505 1925 2365 3225 3311 4515 5775 7095 7525 9933 11825 16555 22575 35475 49665 82775 248325 390499 1171497 1952495 2733493 4295489 5857485 8200479 9762475 12886467 13667465 16791457 21477445 29287425 30068423 41002395 50374371 64432335 68337325 83957285 90205269 107387225 117540199 150342115 184706027 205011975 251871855 322161675 352620597 419786425 451026345 554118081 587700995 751710575 923530135 1259359275 1292942189 1763102985 2255131725 2770590405 2938504975 3878826567 4617650675 6464710945 8815514925 13852952025 19394132835 32323554725 96970664175