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506056228722 = 23411250812
BaseRepresentation
bin1110101110100110100…
…11010011111101110010
31210101012221002000020000
413113103103103331302
531242400343304342
61024251245130430
751363354654012
oct7272323237562
91711187060200
10506056228722
11185687603800
12820b1259a16
133894aa73075
141a6c96abc42
15d26c67644c
hex75d34d3f72

506056228722 has 90 divisors (see below), whose sum is σ = 1246643102397. Its totient is φ = 153320191200.

The previous prime is 506056228709. The next prime is 506056228729. The reversal of 506056228722 is 227822650605.

506056228722 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 562 + 2 + 87 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427060943001 + 78995285721 = 653499^2 + 281061^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=503019.

It is not an unprimeable number, because it can be changed into a prime (506056228729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99595222 + ... + 99600302.

Almost surely, 2506056228722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506056228722

506056228722 is an abundant number, since it is smaller than the sum of its proper divisors (740586873675).

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

506056228722 is an frugal number, since it uses more digits than its factorization.

506056228722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 506056228722 in words is "five hundred six billion, fifty-six million, two hundred twenty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 5081 6534 9801 10162 15243 19602 30486 45729 55891 91458 111782 137187 167673 274374 335346 411561 503019 614801 823122 1006038 1229602 1509057 1844403 3018114 3688806 4527171 5533209 9054342 11066418 16599627 25816561 33199254 49798881 51633122 77449683 99597762 154899366 232349049 283982171 464698098 567964342 697047147 851946513 1394094294 1703893026 2091141441 2555839539 3123803881 4182282882 5111679078 6247607762 7667518617 9371411643 15335037234 18742823286 23002555851 28114234929 46005111702 56228469858 84342704787 168685409574 253028114361 506056228722