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152504780640 = 2535317718293
BaseRepresentation
bin1000111000000111111…
…1100100011101100000
3112120122022122112221220
42032001333210131200
54444312210440030
6154020522415040
714006132150502
oct2160177443540
9476568575856
10152504780640
1159749a779a3
1225681661480
13114c5493894
14754a2c7d72
153e78951a10
hex2381fe4760

152504780640 has 48 divisors (see below), whose sum is σ = 480390060528. Its totient is φ = 40667941376.

The previous prime is 152504780639. The next prime is 152504780641. The reversal of 152504780640 is 46087405251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152504780639) and next prime (152504780641).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 152504780592 and 152504780601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152504780641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158858667 + ... + 158859626.

It is an arithmetic number, because the mean of its divisors is an integer number (10008126261).

Almost surely, 2152504780640 is an apocalyptic number.

152504780640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152504780640 is an abundant number, since it is smaller than the sum of its proper divisors (327885279888).

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

152504780640 is a wasteful number, since it uses less digits than its factorization.

152504780640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317718311 (or 317718303 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 152504780640 in words is "one hundred fifty-two billion, five hundred four million, seven hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 317718293 635436586 953154879 1270873172 1588591465 1906309758 2541746344 3177182930 3812619516 4765774395 5083492688 6354365860 7625239032 9531548790 10166985376 12708731720 15250478064 19063097580 25417463440 30500956128 38126195160 50834926880 76252390320 152504780640