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55129577856 = 2731574392083
BaseRepresentation
bin110011010101111110…
…101001100110000000
312021022002000201120220
4303111332221212000
51400401132442411
641154242103040
73661106452143
oct632576514600
9167262021526
1055129577856
11214202338a1
12a82694aa80
1352776c9bb2
14294dac205a
151679d94b06
hexcd5fa9980

55129577856 has 128 divisors (see below), whose sum is σ = 147777273600. Its totient is φ = 18209138688.

The previous prime is 55129577837. The next prime is 55129577857. The reversal of 55129577856 is 65877592155.

55129577856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 55129577856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55129577857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26465391 + ... + 26467473.

It is an arithmetic number, because the mean of its divisors is an integer number (1154509950).

Almost surely, 255129577856 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 55129577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73888636800).

55129577856 is an abundant number, since it is smaller than the sum of its proper divisors (92647695744).

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

55129577856 is a wasteful number, since it uses less digits than its factorization.

55129577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2684 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 60.

The spelling of 55129577856 in words is "fifty-five billion, one hundred twenty-nine million, five hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 439 471 628 878 942 1256 1317 1756 1884 2083 2512 2634 3512 3768 4166 5024 5268 6249 7024 7536 8332 10048 10536 12498 14048 15072 16664 20096 21072 24996 28096 30144 33328 42144 49992 56192 60288 66656 68923 84288 99984 133312 137846 168576 199968 206769 266624 275692 327031 399936 413538 551384 654062 799872 827076 914437 981093 1102768 1308124 1654152 1828874 1962186 2205536 2616248 2743311 3308304 3657748 3924372 4411072 5232496 5486622 6616608 7315496 7848744 8822144 10464992 10973244 13233216 14630992 15697488 20929984 21946488 26466432 29261984 31394976 41859968 43892976 58523968 62789952 87785952 117047936 125579904 143566609 175571904 287133218 351143808 430699827 574266436 861399654 1148532872 1722799308 2297065744 3445598616 4594131488 6891197232 9188262976 13782394464 18376525952 27564788928 55129577856