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55059396816 = 2431724784449
BaseRepresentation
bin110011010001110010…
…111011100011010000
312021010011222011022010
4303101302323203100
51400230201144231
641143253542520
73656265102534
oct632162734320
9167104864263
1055059396816
1121394659836
12a807344a40
135265cc6b58
142944653bc4
151673b30546
hexcd1cbb8d0

55059396816 has 120 divisors (see below), whose sum is σ = 154312444800. Its totient is φ = 16905814016.

The previous prime is 55059396811. The next prime is 55059396823. The reversal of 55059396816 is 61869395055.

It is a happy number.

55059396816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55059396811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609760 + ... + 694208.

It is an arithmetic number, because the mean of its divisors is an integer number (1285937040).

Almost surely, 255059396816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55059396816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77156222400).

55059396816 is an abundant number, since it is smaller than the sum of its proper divisors (99253047984).

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

55059396816 is a wasteful number, since it uses less digits than its factorization.

55059396816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84541 (or 84518 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 55059396816 in words is "fifty-five billion, fifty-nine million, three hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 94 102 136 141 188 204 272 282 289 376 408 564 578 752 799 816 867 1128 1156 1598 1734 2256 2312 2397 3196 3468 4624 4794 6392 6936 9588 12784 13583 13872 19176 27166 38352 40749 54332 81498 84449 108664 162996 168898 217328 253347 325992 337796 506694 651984 675592 1013388 1351184 1435633 2026776 2871266 3969103 4053552 4306899 5742532 7938206 8613798 11485064 11907309 15876412 17227596 22970128 23814618 24405761 31752824 34455192 47629236 48811522 63505648 67474751 68910384 73217283 95258472 97623044 134949502 146434566 190516944 195246088 202424253 269899004 292869132 390492176 404848506 539798008 585738264 809697012 1079596016 1147070767 1171476528 1619394024 2294141534 3238788048 3441212301 4588283068 6882424602 9176566136 13764849204 18353132272 27529698408 55059396816