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553135520457 = 321337831539451
BaseRepresentation
bin10000000110010010111…
…00100011101011001001
31221212201222001211022200
420003021130203223021
533030310143123312
61102035033510413
754651133230222
oct10031134435311
91855658054280
10553135520457
111a3646643473
128b24bb72409
13402116a1440
141cab4156249
15e5c58db0dc
hex80c9723ac9

553135520457 has 48 divisors (see below), whose sum is σ = 894335402688. Its totient is φ = 327200860800.

The previous prime is 553135520453. The next prime is 553135520461. The reversal of 553135520457 is 754025531355.

553135520457 is a `hidden beast` number, since 5 + 53 + 1 + 3 + 552 + 0 + 45 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (553135520453) and next prime (553135520461).

It is not a de Polignac number, because 553135520457 - 22 = 553135520453 is a prime.

It is not an unprimeable number, because it can be changed into a prime (553135520453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410419 + ... + 1129032.

It is an arithmetic number, because the mean of its divisors is an integer number (18631987556).

Almost surely, 2553135520457 is an apocalyptic number.

It is an amenable number.

553135520457 is a deficient number, since it is larger than the sum of its proper divisors (341199882231).

553135520457 is a wasteful number, since it uses less digits than its factorization.

553135520457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539590 (or 1539587 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 45.

The spelling of 553135520457 in words is "five hundred fifty-three billion, one hundred thirty-five million, five hundred twenty thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 37 39 83 111 117 249 333 481 747 1079 1443 3071 3237 4329 9213 9711 27639 39923 119769 359307 1539451 4618353 13855059 20012863 56959687 60038589 127774433 170879061 180115767 383323299 512637183 740475931 1149969897 1661067629 2221427793 4727654021 4983202887 6664283379 14182962063 14949608661 42548886189 61459502273 184378506819 553135520457