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536919017472 = 21133174113931
BaseRepresentation
bin1111101000000101101…
…11100000100000000000
31220022212210212010021000
413310002313200200000
532244102232024342
61050353541532000
753535232226655
oct7640267404000
91808783763230
10536919017472
11197784873792
1288085114000
133b828b03446
141bdb6547c2c
15de76dcb44c
hex7d02de0800

536919017472 has 384 divisors, whose sum is σ = 1725238569600. Its totient is φ = 164324966400.

The previous prime is 536919017471. The next prime is 536919017561. The reversal of 536919017472 is 274710919635.

536919017472 is a `hidden beast` number, since 536 + 9 + 1 + 90 + 17 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (536919017471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38534347 + ... + 38548277.

It is an arithmetic number, because the mean of its divisors is an integer number (4492808775).

Almost surely, 2536919017472 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 536919017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862619284800).

536919017472 is an abundant number, since it is smaller than the sum of its proper divisors (1188319552128).

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

536919017472 is a wasteful number, since it uses less digits than its factorization.

536919017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14020 (or 13994 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 536919017472 in words is "five hundred thirty-six billion, nine hundred nineteen million, seventeen thousand, four hundred seventy-two".