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93717029013216 = 2537283492791041
BaseRepresentation
bin10101010011110000110010…
…001110010100011011100000
3110021211021000212221110012120
4111103300302032110123200
544240424433411410331
6531153001521224240
725511555226005310
oct2523606216243340
9407737025843176
1093717029013216
1127952194753174
12a616ba3492080
13403a629c9873b
14191dcdd793440
15ac7bdd181796
hex553c323946e0

93717029013216 has 96 divisors (see below), whose sum is σ = 282144554350848. Its totient is φ = 26681678069760.

The previous prime is 93717029013191. The next prime is 93717029013241. The reversal of 93717029013216 is 61231092071739.

It is an interprime number because it is at equal distance from previous prime (93717029013191) and next prime (93717029013241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246205345 + ... + 246585696.

It is an arithmetic number, because the mean of its divisors is an integer number (2939005774488).

Almost surely, 293717029013216 is an apocalyptic number.

93717029013216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93717029013216 is an abundant number, since it is smaller than the sum of its proper divisors (188427525337632).

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

93717029013216 is a wasteful number, since it uses less digits than its factorization.

93717029013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492791344 (or 492791336 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 51.

The spelling of 93717029013216 in words is "ninety-three trillion, seven hundred seventeen billion, twenty-nine million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 283 336 566 672 849 1132 1698 1981 2264 3396 3962 4528 5943 6792 7924 9056 11886 13584 15848 23772 27168 31696 47544 63392 95088 190176 492791041 985582082 1478373123 1971164164 2956746246 3449537287 3942328328 5913492492 6899074574 7884656656 10348611861 11826984984 13798149148 15769313312 20697223722 23653969968 27596298296 41394447444 47307939936 55192596592 82788894888 110385193184 139459864603 165577789776 278919729206 331155579552 418379593809 557839458412 836759187618 976219052221 1115678916824 1673518375236 1952438104442 2231357833648 2928657156663 3347036750472 3904876208884 4462715667296 5857314313326 6694073500944 7809752417768 11714628626652 13388147001888 15619504835536 23429257253304 31239009671072 46858514506608 93717029013216