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55852735248 = 2433733176383
BaseRepresentation
bin110100000001000101…
…010001101100010000
312100011110202221001000
4310001011101230100
51403341300011443
641354113542000
74015040262552
oct640105215420
9170143687030
1055852735248
112176145a732
12a9a8b74900
13536148688b
1429bbb674d2
1516bd5dd8d3
hexd01151b10

55852735248 has 80 divisors (see below), whose sum is σ = 160537661440. Its totient is φ = 18592073856.

The previous prime is 55852735207. The next prime is 55852735273. The reversal of 55852735248 is 84253725855.

It is a happy number.

55852735248 is a `hidden beast` number, since 5 + 585 + 2 + 7 + 3 + 52 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55852735194 and 55852735203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228465 + ... + 404847.

It is an arithmetic number, because the mean of its divisors is an integer number (2006720768).

Almost surely, 255852735248 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 55852735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80268830720).

55852735248 is an abundant number, since it is smaller than the sum of its proper divisors (104684926192).

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

55852735248 is a wasteful number, since it uses less digits than its factorization.

55852735248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177133 (or 177121 counting only the distinct ones).

The product of its digits is 13440000, while the sum is 54.

The spelling of 55852735248 in words is "fifty-five billion, eight hundred fifty-two million, seven hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 17592 19791 26388 35184 39582 52776 79164 105552 158328 176383 316656 352766 529149 705532 1058298 1411064 1587447 2116596 2822128 3174894 4233192 4762341 6349788 8466384 9524682 12699576 19049364 25399152 38098728 76197456 129288739 258577478 387866217 517154956 775732434 1034309912 1163598651 1551464868 2068619824 2327197302 3102929736 3490795953 4654394604 6205859472 6981591906 9308789208 13963183812 18617578416 27926367624 55852735248