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152910679344 = 2435179615107
BaseRepresentation
bin1000111001101000101…
…1111100110100110000
3112121200121102100022020
42032122023330310300
510001130113214334
6154125102311440
714022161220603
oct2163213746460
9477617370266
10152910679344
1159938101675
1225775588580
131155b5bc027
14758818633a
153e9e3cce49
hex239a2fcd30

152910679344 has 40 divisors (see below), whose sum is σ = 395096170560. Its totient is φ = 50960301888.

The previous prime is 152910679333. The next prime is 152910679351. The reversal of 152910679344 is 443976019251.

It is a happy number.

152910679344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58962 + ... + 556145.

It is an arithmetic number, because the mean of its divisors is an integer number (9877404264).

Almost surely, 2152910679344 is an apocalyptic number.

It is an amenable number.

152910679344 is an abundant number, since it is smaller than the sum of its proper divisors (242185491216).

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

152910679344 is a wasteful number, since it uses less digits than its factorization.

152910679344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620297 (or 620291 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 152910679344 in words is "one hundred fifty-two billion, nine hundred ten million, six hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 5179 10358 15537 20716 31074 41432 62148 82864 124296 248592 615107 1230214 1845321 2460428 3690642 4920856 7381284 9841712 14762568 29525136 3185639153 6371278306 9556917459 12742556612 19113834918 25485113224 38227669836 50970226448 76455339672 152910679344