Search a number
-
+
55651005168 = 243111922672447
BaseRepresentation
bin110011110101000011…
…101111001011110000
312022122102011222101120
4303311003233023300
51402433124131133
641322110102240
74010040511323
oct636503571360
9168572158346
1055651005168
11216685a5960
12a9514aa980
13532b744c75
14299d0547ba
1516aaa41ab3
hexcf50ef2f0

55651005168 has 160 divisors (see below), whose sum is σ = 165229424640. Its totient is φ = 15962791680.

The previous prime is 55651005143. The next prime is 55651005169. The reversal of 55651005168 is 86150015655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55651005169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22741321 + ... + 22743767.

It is an arithmetic number, because the mean of its divisors is an integer number (1032683904).

Almost surely, 255651005168 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 55651005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82614712320).

55651005168 is an abundant number, since it is smaller than the sum of its proper divisors (109578419472).

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

55651005168 is a wasteful number, since it uses less digits than its factorization.

55651005168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The spelling of 55651005168 in words is "fifty-five billion, six hundred fifty-one million, five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2267 2447 2508 3344 4534 4894 5016 6801 7341 9068 9788 10032 13602 14682 18136 19576 24937 26917 27204 29364 36272 39152 43073 46493 49874 53834 54408 58728 74811 80751 86146 92986 99748 107668 108816 117456 129219 139479 149622 161502 172292 185972 199496 215336 258438 278958 299244 323004 344584 371944 398992 430672 473803 511423 516876 557916 598488 646008 689168 743888 947606 1022846 1033752 1115832 1196976 1292016 1421409 1534269 1895212 2045692 2067504 2231664 2842818 3068538 3790424 4091384 5547349 5685636 6137076 7580848 8182768 11094698 11371272 12274152 16642047 22189396 22742544 24548304 33284094 44378792 61020839 66568188 88757584 105399631 122041678 133136376 183062517 210799262 244083356 266272752 316198893 366125034 421598524 488166712 632397786 732250068 843197048 976333424 1159395941 1264795572 1464500136 1686394096 2318791882 2529591144 2929000272 3478187823 4637583764 5059182288 6956375646 9275167528 13912751292 18550335056 27825502584 55651005168