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97137357435 = 3456731311437
BaseRepresentation
bin101101001110111010…
…1100111001001111011
3100021201200002000220000
41122131311213021323
53042414130414220
6112342502404043
710006103625546
oct1323565471173
9307650060800
1097137357435
11382175623a8
12169ab130623
13921071b7c1
1449b6bb185d
1527d7c79390
hex169dd6727b

97137357435 has 80 divisors (see below), whose sum is σ = 177306751776. Its totient is φ = 50865864192.

The previous prime is 97137357419. The next prime is 97137357463. The reversal of 97137357435 is 53475373179.

97137357435 is a `hidden beast` number, since 9 + 7 + 1 + 37 + 3 + 574 + 35 = 666.

It is not a de Polignac number, because 97137357435 - 24 = 97137357419 is a prime.

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 79 ways as a sum of consecutive naturals, for example, 8487537 + ... + 8498973.

Almost surely, 297137357435 is an apocalyptic number.

97137357435 is a deficient number, since it is larger than the sum of its proper divisors (80169394341).

97137357435 is a wasteful number, since it uses less digits than its factorization.

97137357435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11825 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 54.

The spelling of 97137357435 in words is "ninety-seven billion, one hundred thirty-seven million, three hundred fifty-seven thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 67 81 135 201 313 335 405 603 939 1005 1565 1809 2817 3015 4695 5427 8451 9045 11437 14085 20971 25353 27135 34311 42255 57185 62913 102933 104855 126765 171555 188739 308799 314565 514665 566217 766279 926397 943695 1543995 1698651 2298837 2831085 3579781 3831395 4631985 6896511 8493255 10739343 11494185 17898905 20689533 32218029 34482555 53696715 62068599 96654087 103447665 161090145 239845327 289962261 310342995 483270435 719535981 1199226635 1449811305 2158607943 3597679905 6475823829 10793039715 19427471487 32379119145 97137357435