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532023704064 = 2933412294099
BaseRepresentation
bin1111011110111110001…
…01010111101000000000
31212212020122110102201000
413233133011113220000
532204041032012224
61044224110212000
753303020604136
oct7573705275000
91785218412630
10532023704064
111956a2569326
12871397b4000
133b2288695a8
141ba70337756
15dc8c2530c9
hex7bdf157a00

532023704064 has 320 divisors, whose sum is σ = 1620677520000. Its totient is φ = 172218286080.

The previous prime is 532023704053. The next prime is 532023704089. The reversal of 532023704064 is 460407320235.

532023704064 is a `hidden beast` number, since 5 + 320 + 237 + 0 + 40 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129791487 + ... + 129795585.

It is an arithmetic number, because the mean of its divisors is an integer number (5064617250).

Almost surely, 2532023704064 is an apocalyptic number.

532023704064 is a gapful number since it is divisible by the number (54) 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 532023704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810338760000).

532023704064 is an abundant number, since it is smaller than the sum of its proper divisors (1088653815936).

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

532023704064 is a wasteful number, since it uses less digits than its factorization.

532023704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 532023704064 in words is "five hundred thirty-two billion, twenty-three million, seven hundred four thousand, sixty-four".