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152564133132020 = 22531615879836991
BaseRepresentation
bin100010101100000110011010…
…111101011111011011110100
3202000011222200202100000122002
4202230012122331133123310
5124444102321040211040
61300250554543554432
744064252304566311
oct4254063275373364
9660158622300562
10152564133132020
11446800a38a5895
121513bb4b5bba18
136718975070b7c
14299620186dd08
151298823564a15
hex8ac19af5f6f4

152564133132020 has 192 divisors, whose sum is σ = 337104695918592. Its totient is φ = 57922696512000.

The previous prime is 152564133131947. The next prime is 152564133132067. The reversal of 152564133132020 is 20231331465251.

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, 21822930725 + ... + 21822937715.

It is an arithmetic number, because the mean of its divisors is an integer number (1755753624576).

Almost surely, 2152564133132020 is an apocalyptic number.

152564133132020 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 152564133132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168552347959296).

152564133132020 is an abundant number, since it is smaller than the sum of its proper divisors (184540562786572).

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

152564133132020 is a wasteful number, since it uses less digits than its factorization.

152564133132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 152564133132020 its reverse (20231331465251), we get a palindrome (172795464597271).

The spelling of 152564133132020 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty".