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55766666148 = 223199710332441
BaseRepresentation
bin110011111011111100…
…111100101110100100
312022221110211011102120
4303323330330232210
51403202231304043
641341401105540
74012643561334
oct637374745644
9168843734376
1055766666148
1121717913746
12a9841882b0
1353496acc0b
1429b05610c4
1516b5c8b983
hexcfbf3cba4

55766666148 has 96 divisors (see below), whose sum is σ = 138573536640. Its totient is φ = 17404968960.

The previous prime is 55766666147. The next prime is 55766666209. The reversal of 55766666148 is 84166666755.

It is a junction number, because it is equal to n+sod(n) for n = 55766666091 and 55766666100.

It is not an unprimeable number, because it can be changed into a prime (55766666147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22844608 + ... + 22847048.

It is an arithmetic number, because the mean of its divisors is an integer number (1443474340).

Almost surely, 255766666148 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 55766666148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69286768320).

55766666148 is an abundant number, since it is smaller than the sum of its proper divisors (82806870492).

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

55766666148 is a wasteful number, since it uses less digits than its factorization.

55766666148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3595 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 55766666148 in words is "fifty-five billion, seven hundred sixty-six million, six hundred sixty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1033 1164 1843 2066 2441 3099 3686 4132 4882 5529 6198 7323 7372 9764 11058 12396 14646 19627 22116 29292 39254 46379 58881 78508 92758 100201 117762 139137 185516 200402 235524 236777 278274 300603 400804 473554 556548 601206 710331 947108 1202412 1420662 1903819 2521553 2841324 3807638 4498763 5043106 5711457 7564659 7615276 8997526 10086212 11422914 13496289 15129318 17995052 22845828 26992578 30258636 47909507 53985156 95819014 143728521 191638028 244590641 287457042 489181282 574914084 733771923 978362564 1467543846 2935087692 4647222179 9294444358 13941666537 18588888716 27883333074 55766666148