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553934430720 = 293251112911693
BaseRepresentation
bin10000000111110010001…
…00001010001000000000
31221221210122100200011200
420003321010022020000
533033424203240340
61102250213141200
755010003654526
oct10037104121000
91857718320150
10553934430720
111a3a165aa590
128b43362a800
134030b0622c8
141cb4c2ba316
15e620aea330
hex80f910a200

553934430720 has 480 divisors, whose sum is σ = 2095691742144. Its totient is φ = 134103859200.

The previous prime is 553934430719. The next prime is 553934430767. The reversal of 553934430720 is 27034439355.

553934430720 is a `hidden beast` number, since 5 + 53 + 93 + 443 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327190194 + ... + 327191886.

Almost surely, 2553934430720 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 553934430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047845871072).

553934430720 is an abundant number, since it is smaller than the sum of its proper divisors (1541757311424).

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

553934430720 is a wasteful number, since it uses less digits than its factorization.

553934430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 553934430720 in words is "five hundred fifty-three billion, nine hundred thirty-four million, four hundred thirty thousand, seven hundred twenty".