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55119064320 = 283254784641
BaseRepresentation
bin110011010101010110…
…100010110100000000
312021021100020120201200
4303111112202310000
51400340440024240
641153224501200
73660621213345
oct632526426400
9167240216650
1055119064320
1121415302921
12a82331a800
135275488678
14294c5467cc
151678eb9930
hexcd55a2d00

55119064320 has 108 divisors (see below), whose sum is σ = 190706260836. Its totient is φ = 14698414080.

The previous prime is 55119064313. The next prime is 55119064321. The reversal of 55119064320 is 2346091155.

55119064320 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 9 + 0 + 643 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27870299136 + 27248765184 = 166944^2 + 165072^2 .

It is a super-2 number, since 2×551190643202 (a number of 22 digits) contains 22 as substring.

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 (55119064321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2380801 + ... + 2403840.

Almost surely, 255119064320 is an apocalyptic number.

It is an amenable number.

55119064320 is an abundant number, since it is smaller than the sum of its proper divisors (135587196516).

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

55119064320 is a wasteful number, since it uses less digits than its factorization.

55119064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784668 (or 4784651 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 55119064320 in words is "fifty-five billion, one hundred nineteen million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 4784641 9569282 14353923 19138564 23923205 28707846 38277128 43061769 47846410 57415692 71769615 76554256 86123538 95692820 114831384 143539230 153108512 172247076 191385640 215308845 229662768 287078460 306217024 344494152 382771280 430617690 459325536 574156920 612434048 688988304 765542560 861235380 918651072 1148313840 1224868096 1377976608 1531085120 1722470760 1837302144 2296627680 2755953216 3062170240 3444941520 3674604288 4593255360 5511906432 6124340480 6889883040 9186510720 11023812864 13779766080 18373021440 27559532160 55119064320