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514053106164 = 22341329388069
BaseRepresentation
bin1110111101011111111…
…00111110100111110100
31211010212020121110210000
413132233330332213310
531410240043344124
61032052554031300
752065500210343
oct7365774764764
91733766543700
10514053106164
11189010639124
1283763418530
1339623761b00
141ac477a1b5a
15d5897566c9
hex77aff3e9f4

514053106164 has 90 divisors (see below), whose sum is σ = 1455160238070. Its totient is φ = 158170169664.

The previous prime is 514053106163. The next prime is 514053106201. The reversal of 514053106164 is 461601350415.

514053106164 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 5 + 31 + 0 + 616 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3245580900 + 510807525264 = 56970^2 + 714708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514053106163) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4639279 + ... + 4748790.

Almost surely, 2514053106164 is an apocalyptic number.

514053106164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

514053106164 is an abundant number, since it is smaller than the sum of its proper divisors (941107131906).

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

514053106164 is a wasteful number, since it uses less digits than its factorization.

514053106164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388111 (or 9388087 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 514053106164 its reverse (461601350415), we get a palindrome (975654456579).

The spelling of 514053106164 in words is "five hundred fourteen billion, fifty-three million, one hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 18252 27378 54756 9388069 18776138 28164207 37552276 56328414 84492621 112656828 122044897 168985242 244089794 253477863 337970484 366134691 488179588 506955726 732269382 760433589 1013911452 1098404073 1464538764 1520867178 1586583661 2196808146 3041734356 3173167322 3295212219 4393616292 4759750983 6346334644 6590424438 9519501966 9885636657 13180848876 14279252949 19039003932 19771273314 28558505898 39542546628 42837758847 57117011796 85675517694 128513276541 171351035388 257026553082 514053106164