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20970625536 = 2932717167229
BaseRepresentation
bin10011100001111100…
…100101101000000000
32000010110221011011200
4103201330211220000
5320421440004121
613344521141200
71341446242650
oct234174455000
960113834150
1020970625536
11899140a393
12409302a800
131c927cb783
14102d188360
1582b098a26
hex4e1f25a00

20970625536 has 480 divisors, whose sum is σ = 73997763840. Its totient is φ = 5580914688.

The previous prime is 20970625513. The next prime is 20970625547. The reversal of 20970625536 is 63552607902.

20970625536 is a `hidden beast` number, since 2 + 0 + 97 + 0 + 6 + 2 + 553 + 6 = 666.

It is a super-2 number, since 2×209706255362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20970625491 and 20970625500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91574670 + ... + 91574898.

It is an arithmetic number, because the mean of its divisors is an integer number (154162008).

Almost surely, 220970625536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20970625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36998881920).

20970625536 is an abundant number, since it is smaller than the sum of its proper divisors (53027138304).

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

20970625536 is a wasteful number, since it uses less digits than its factorization.

20970625536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 20970625536 in words is "twenty billion, nine hundred seventy million, six hundred twenty-five thousand, five hundred thirty-six".