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152127982440 = 233757713499
BaseRepresentation
bin1000110110101110001…
…0001100101101101000
3112112200001122020000000
42031223202030231220
54443024230414230
6153515302343000
713663605341460
oct2155342145550
9475601566000
10152127982440
1159576309925
122559742aa60
13114653b6b75
147512242ba0
153e55822b60
hex236b88cb68

152127982440 has 512 divisors, whose sum is σ = 595123200000. Its totient is φ = 34272564480.

The previous prime is 152127982429. The next prime is 152127982483. The reversal of 152127982440 is 44289721251.

152127982440 is a `hidden beast` number, since 1 + 5 + 2 + 127 + 9 + 82 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43475811 + ... + 43479309.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350000).

Almost surely, 2152127982440 is an apocalyptic number.

152127982440 is a gapful number since it is divisible by the number (10) 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 152127982440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600000).

152127982440 is an abundant number, since it is smaller than the sum of its proper divisors (442995217560).

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

152127982440 is an equidigital number, since it uses as much as digits as its factorization.

152127982440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 152127982440 in words is "one hundred fifty-two billion, one hundred twenty-seven million, nine hundred eighty-two thousand, four hundred forty".