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152720694864 = 24331128731321
BaseRepresentation
bin1000111000111011011…
…1001101111001010000
3112121012100221010121000
42032032313031321100
510000232444213424
6154054154302000
714014363326153
oct2161667157120
9477170833530
10152720694864
115984a93a501
1225721a27900
131152b13068a
14756ac4dc9a
153e8c8a13c9
hex238edcde50

152720694864 has 80 divisors (see below), whose sum is σ = 438417792640. Its totient is φ = 50900762880.

The previous prime is 152720694857. The next prime is 152720694883. The reversal of 152720694864 is 468496027251.

152720694864 is a `hidden beast` number, since 1 + 527 + 20 + 6 + 94 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×1527206948642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 152720694864.

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, 4860324 + ... + 4891644.

It is an arithmetic number, because the mean of its divisors is an integer number (5480222408).

Almost surely, 2152720694864 is an apocalyptic number.

It is an amenable number.

152720694864 is an abundant number, since it is smaller than the sum of its proper divisors (285697097776).

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

152720694864 is a wasteful number, since it uses less digits than its factorization.

152720694864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42625 (or 42613 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 152720694864 in words is "one hundred fifty-two billion, seven hundred twenty million, six hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11287 22574 31321 33861 45148 62642 67722 90296 93963 101583 125284 135444 180592 187926 203166 250568 270888 281889 304749 375852 406332 501136 541776 563778 609498 751704 812664 845667 1127556 1218996 1503408 1625328 1691334 2255112 2437992 3382668 4510224 4875984 6765336 13530672 353520127 707040254 1060560381 1414080508 2121120762 2828161016 3181681143 4242241524 5656322032 6363362286 8484483048 9545043429 12726724572 16968966096 19090086858 25453449144 38180173716 50906898288 76360347432 152720694864