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55459299336 = 23373180913163
BaseRepresentation
bin110011101001101000…
…011100000000001000
312022011001110022102120
4303221220130000020
51402040040034321
641251101131240
74002222160230
oct635150340010
9168131408376
1055459299336
112157a368491
12a8b9259b20
1352cab02c6c
1429817d0cc0
151698cc4ec6
hexce9a1c008

55459299336 has 128 divisors (see below), whose sum is σ = 163781222400. Its totient is φ = 15314250240.

The previous prime is 55459299293. The next prime is 55459299347. The reversal of 55459299336 is 63399295455.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55459299336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206691 + ... + 4219853.

It is an arithmetic number, because the mean of its divisors is an integer number (1279540800).

Almost surely, 255459299336 is an apocalyptic number.

55459299336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55459299336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81890611200).

55459299336 is an abundant number, since it is smaller than the sum of its proper divisors (108321923064).

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

55459299336 is a wasteful number, since it uses less digits than its factorization.

55459299336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14019 (or 14015 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 60.

The spelling of 55459299336 in words is "fifty-five billion, four hundred fifty-nine million, two hundred ninety-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 809 868 1302 1618 1736 2427 2604 3236 4854 5208 5663 6472 9708 11326 13163 16989 19416 22652 25079 26326 33978 39489 45304 50158 52652 67956 75237 78978 92141 100316 105304 135912 150474 157956 175553 184282 200632 276423 300948 315912 351106 368564 408053 526659 552846 601896 702212 737128 816106 1053318 1105692 1224159 1404424 1632212 2106636 2211384 2448318 2856371 3264424 4213272 4896636 5712742 8569113 9793272 10648867 11425484 17138226 21297734 22850968 31946601 34276452 42595468 63893202 68552904 74542069 85190936 127786404 149084138 223626207 255572808 298168276 330114877 447252414 596336552 660229754 894504828 990344631 1320459508 1789009656 1980689262 2310804139 2640919016 3961378524 4621608278 6932412417 7922757048 9243216556 13864824834 18486433112 27729649668 55459299336