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152230504608 = 253272132812953
BaseRepresentation
bin1000110111000110100…
…1010010100010100000
3112112221012112212222100
42031301221102202200
54443232002121413
6153533404010400
713666261640100
oct2156151224240
9475835485870
10152230504608
1159619173296
1225605830a00
1311480701680
147521acd200
153e5e824a73
hex2371a528a0

152230504608 has 432 divisors, whose sum is σ = 544435445736. Its totient is φ = 39992279040.

The previous prime is 152230504597. The next prime is 152230504649. The reversal of 152230504608 is 806405032251.

152230504608 is a `hidden beast` number, since 15 + 2 + 2 + 30 + 5 + 0 + 4 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136417945104 + 15812559504 = 369348^2 + 125748^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51549660 + ... + 51552612.

Almost surely, 2152230504608 is an apocalyptic number.

152230504608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152230504608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272217722868).

152230504608 is an abundant number, since it is smaller than the sum of its proper divisors (392204941128).

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

152230504608 is a wasteful number, since it uses less digits than its factorization.

152230504608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 152230504608 its reverse (806405032251), we get a palindrome (958635536859).

The spelling of 152230504608 in words is "one hundred fifty-two billion, two hundred thirty million, five hundred four thousand, six hundred eight".