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152031251988 = 2232721126710631
BaseRepresentation
bin1000110110010111000…
…1001100111000010100
3112112102022121210202200
42031211301030320110
54442330000030423
6153501525204500
713661322214500
oct2154561147024
9475368553680
10152031251988
1159526750900
122556ab60730
131144b349605
147503463300
153e4c0b6d43
hex2365c4ce14

152031251988 has 324 divisors, whose sum is σ = 498760176096. Its totient is φ = 38895595200.

The previous prime is 152031251971. The next prime is 152031251989. The reversal of 152031251988 is 889152130251.

152031251988 is a `hidden beast` number, since 1 + 5 + 20 + 31 + 2 + 519 + 88 = 666.

It is a super-2 number, since 2×1520312519882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152031251989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14295433 + ... + 14306063.

Almost surely, 2152031251988 is an apocalyptic number.

152031251988 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 152031251988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249380088048).

152031251988 is an abundant number, since it is smaller than the sum of its proper divisors (346728924108).

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

152031251988 is a wasteful number, since it uses less digits than its factorization.

152031251988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 152031251988 in words is "one hundred fifty-two billion, thirty-one million, two hundred fifty-one thousand, nine hundred eighty-eight".