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55775114123364 = 2234556930911369
BaseRepresentation
bin11001010111010001001111…
…10111010101100001100100
321022111001022121020121120000
430223220213313111201210
524302304413203421424
6314342422251341300
714514422215501146
oct1453504767254144
9238431277217500
1055775114123364
1116854102960949
126309710a51830
132517755a774cc
14dab75c198c96
1566ac8a9e53c9
hex32ba27dd5864

55775114123364 has 60 divisors (see below), whose sum is σ = 145833352272300. Its totient is φ = 18588365678592.

The previous prime is 55775114123357. The next prime is 55775114123371. The reversal of 55775114123364 is 46332141157755.

55775114123364 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 511 + 41 + 23 + 3 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (55775114123357) and next prime (55775114123371).

It can be written as a sum of positive squares in 2 ways, for example, as 8236957400100 + 47538156723264 = 2870010^2 + 6894792^2 .

It is a super-2 number, since 2×557751141233642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55775114123364.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13651329 + ... + 17260040.

It is an arithmetic number, because the mean of its divisors is an integer number (2430555871205).

Almost surely, 255775114123364 is an apocalyptic number.

55775114123364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55775114123364 is an abundant number, since it is smaller than the sum of its proper divisors (90058238148936).

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

55775114123364 is a wasteful number, since it uses less digits than its factorization.

55775114123364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30916954 (or 30916943 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 55775114123364 in words is "fifty-five trillion, seven hundred seventy-five billion, one hundred fourteen million, one hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5569 11138 16707 22276 33414 50121 66828 100242 150363 200484 300726 451089 601452 902178 1804356 30911369 61822738 92734107 123645476 185468214 278202321 370936428 556404642 834606963 1112809284 1669213926 2503820889 3338427852 5007641778 10015283556 172145413961 344290827922 516436241883 688581655844 1032872483766 1549308725649 2065744967532 3098617451298 4647926176947 6197234902596 9295852353894 13943778530841 18591704707788 27887557061682 55775114123364