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152564110055220 = 223512168720895701
BaseRepresentation
bin100010101100000110011001…
…100101011101011100110100
3202000011222122010220121012210
4202230012121211131130310
5124444102244133231340
61300250552401213420
744064251604464103
oct4254063145353464
9660158563817183
10152564110055220
1144680091873956
121513bb43931270
136718970351166
1429961dc78403a
151298821507180
hex8ac19995d734

152564110055220 has 48 divisors (see below), whose sum is σ = 427183039075968. Its totient is φ = 40683426403200.

The previous prime is 152564110055213. The next prime is 152564110055239. The reversal of 152564110055220 is 22550011465251.

It is a happy number.

It is a super-3 number, since 3×1525641100552203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3146631 + ... + 17749070.

It is an arithmetic number, because the mean of its divisors is an integer number (8899646647416).

Almost surely, 2152564110055220 is an apocalyptic number.

152564110055220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152564110055220 is an abundant number, since it is smaller than the sum of its proper divisors (274618929020748).

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

152564110055220 is a wasteful number, since it uses less digits than its factorization.

152564110055220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21017400 (or 21017398 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 152564110055220 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, one hundred ten million, fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 121687 243374 365061 486748 608435 730122 1216870 1460244 1825305 2433740 3650610 7301220 20895701 41791402 62687103 83582804 104478505 125374206 208957010 250748412 313435515 417914020 626871030 1253742060 2542735167587 5085470335174 7628205502761 10170940670348 12713675837935 15256411005522 25427351675870 30512822011044 38141027513805 50854703351740 76282055027610 152564110055220