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20433537869472 = 25327313374373137
BaseRepresentation
bin1001010010101100011011…
…10001000010011010100000
32200100102112101110011120100
410221112031301002122200
510134240341143310342
6111243012051142400
74206163055064000
oct451261561023240
980312471404510
1020433537869472
1165688a6476132
1223601a65a4a00
13b52b49c52650
14508dba684000
152567cac95e4c
hex12958dc426a0

20433537869472 has 2304 divisors, whose sum is σ = 78310321689600. Its totient is φ = 5014446538752.

The previous prime is 20433537869449. The next prime is 20433537869489. The reversal of 20433537869472 is 27496873533402.

20433537869472 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 3 + 537 + 8 + 6 + 94 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149149911388 + ... + 149149911524.

It is an arithmetic number, because the mean of its divisors is an integer number (33988854900).

Almost surely, 220433537869472 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 20433537869472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39155160844800).

20433537869472 is an abundant number, since it is smaller than the sum of its proper divisors (57876783820128).

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

20433537869472 is a wasteful number, since it uses less digits than its factorization.

20433537869472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 20433537869472 in words is "twenty trillion, four hundred thirty-three billion, five hundred thirty-seven million, eight hundred sixty-nine thousand, four hundred seventy-two".