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97252379536 = 241317212712739
BaseRepresentation
bin101101010010010110…
…0011000101110010000
3100022000200111202112211
41122210230120232100
53043133102121121
6112402132001504
710012001405134
oct1324454305620
9308020452484
1097252379536
1138276484194
1216a21760294
13922b4c1a10
1449c81933c4
1527e2de9ce1
hex16a4b18b90

97252379536 has 120 divisors (see below), whose sum is σ = 217273871360. Its totient is φ = 41909446656.

The previous prime is 97252379489. The next prime is 97252379563. The reversal of 97252379536 is 63597325279.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7627855 + ... + 7640593.

Almost surely, 297252379536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97252379536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108636935680).

97252379536 is an abundant number, since it is smaller than the sum of its proper divisors (120021491824).

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

97252379536 is a wasteful number, since it uses less digits than its factorization.

97252379536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12898 counting only the distinct ones).

The product of its digits is 21432600, while the sum is 58.

The spelling of 97252379536 in words is "ninety-seven billion, two hundred fifty-two million, three hundred seventy-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 127 136 208 221 254 272 289 442 508 578 884 1016 1156 1651 1768 2032 2159 2312 3302 3536 3757 4318 4624 6604 7514 8636 12739 13208 15028 17272 25478 26416 28067 30056 34544 36703 50956 56134 60112 73406 101912 112268 146812 165607 203824 216563 224536 293624 331214 433126 449072 477139 587248 662428 866252 954278 1324856 1617853 1732504 1908556 2649712 2815319 3235706 3465008 3681571 3817112 5630638 6471412 7363142 7634224 11261276 12942824 14726284 21032089 22522552 25885648 27503501 29452568 42064178 45045104 47860423 55007002 58905136 84128356 95720846 110014004 168256712 191441692 220028008 336513424 357545513 382883384 440056016 467559517 715091026 765766768 935119034 1430182052 1870238068 2860364104 3740476136 5720728208 6078273721 7480952272 12156547442 24313094884 48626189768 97252379536