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152756044020 = 223354323472803
BaseRepresentation
bin1000111001000011111…
…0000100000011110100
3112121021211110001112000
42032100332010003310
510000321021402040
6154101500055300
714015302644006
oct2162076040364
9477254401460
10152756044020
1159868893888
1225731834530
1311535559338
147571812376
153e90a35130
hex2390f840f4

152756044020 has 192 divisors, whose sum is σ = 486673904640. Its totient is φ = 39756479616.

The previous prime is 152756044019. The next prime is 152756044037. The reversal of 152756044020 is 20440657251.

It is a happy number.

152756044020 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 5 + 604 + 40 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54495939 + ... + 54498741.

It is an arithmetic number, because the mean of its divisors is an integer number (2534759920).

Almost surely, 2152756044020 is an apocalyptic number.

152756044020 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 152756044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243336952320).

152756044020 is an abundant number, since it is smaller than the sum of its proper divisors (333917860620).

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

152756044020 is a wasteful number, since it uses less digits than its factorization.

152756044020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 152756044020 in words is "one hundred fifty-two billion, seven hundred fifty-six million, forty-four thousand, twenty".