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152373312000 = 2934537131719
BaseRepresentation
bin1000110111101000101…
…0000011101000000000
3112120022011021020220000
42031322022003220000
54444030031441000
6153555504520000
714002644532140
oct2157212035000
9476264236800
10152373312000
1159691842628
1225645620000
13114a41827a0
147536a64920
153e6c133000
hex237a283a00

152373312000 has 3200 divisors, whose sum is σ = 778585167360. Its totient is φ = 28665446400.

The previous prime is 152373311989. The next prime is 152373312029. The reversal of 152373312000 is 213373251.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8019647991 + ... + 8019648009.

Almost surely, 2152373312000 is an apocalyptic number.

152373312000 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 152373312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389292583680).

152373312000 is an abundant number, since it is smaller than the sum of its proper divisors (626211855360).

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

152373312000 is a wasteful number, since it uses less digits than its factorization.

152373312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 152373312000 its reverse (213373251), we get a palindrome (152586685251).

The spelling of 152373312000 in words is "one hundred fifty-two billion, three hundred seventy-three million, three hundred twelve thousand".