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93332214290688 = 2835317231330789
BaseRepresentation
bin10101001110001010011001…
…011110101001100100000000
3110020110110202111011002210220
4111032022121132221210000
544213123333324300223
6530300121034223040
725442013163562262
oct2516123136514400
9406413674132726
1093332214290688
1127813a7388a56a
12a5744a9884a80
1340102616a74a9
141909436283b32
15abcbb99996e3
hex54e2997a9900

93332214290688 has 144 divisors (see below), whose sum is σ = 253233665616960. Its totient is φ = 30506004652032.

The previous prime is 93332214290683. The next prime is 93332214290771. The reversal of 93332214290688 is 88609241223339.

It is not an unprimeable number, because it can be changed into a prime (93332214290683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69467598 + ... + 70798386.

It is an arithmetic number, because the mean of its divisors is an integer number (1758567122340).

Almost surely, 293332214290688 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 93332214290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126616832808480).

93332214290688 is an abundant number, since it is smaller than the sum of its proper divisors (159901451326272).

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

93332214290688 is a wasteful number, since it uses less digits than its factorization.

93332214290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332584 (or 1332570 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 93332214290688 in words is "ninety-three trillion, three hundred thirty-two billion, two hundred fourteen million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 1723 2544 3392 3446 5088 5169 6784 6892 10176 10338 13568 13784 20352 20676 27568 40704 41352 55136 82704 91319 110272 165408 182638 220544 273957 330816 365276 441088 547914 661632 730552 1095828 1323264 1330789 1461104 2191656 2661578 2922208 3992367 4383312 5323156 5844416 7984734 8766624 10646312 11688832 15969468 17533248 21292624 23377664 31938936 35066496 42585248 63877872 70132992 70531817 85170496 127755744 141063634 170340992 211595451 255511488 282127268 340681984 423190902 511022976 564254536 846381804 1022045952 1128509072 1692763608 2257018144 2292949447 3385527216 4514036288 4585898894 6771054432 6878848341 9028072576 9171797788 13542108864 13757696682 18056145152 18343595576 27084217728 27515393364 36687191152 54168435456 55030786728 73374382304 110061573456 121526320691 146748764608 220123146912 243052641382 293497529216 364578962073 440246293824 486105282764 586995058432 729157924146 880492587648 972210565528 1458315848292 1760985175296 1944421131056 2916631696584 3888842262112 5833263393168 7777684524224 11666526786336 15555369048448 23333053572672 31110738096896 46666107145344 93332214290688