Search a number
-
+
53344100656 = 24711224116333
BaseRepresentation
bin110001101011100011…
…100110000100110000
312002200122100002022201
4301223203212010300
51333222042210111
640301141112544
73565626242230
oct615343460460
9162618302281
1053344100656
1120694399400
12a4089b8754
135051823202
142820909cc0
1515c32596c1
hexc6b8e6130

53344100656 has 120 divisors (see below), whose sum is σ = 130380078752. Its totient is φ = 20695910400.

The previous prime is 53344100653. The next prime is 53344100657. The reversal of 53344100656 is 65600144335.

It is not an unprimeable number, because it can be changed into a prime (53344100651) 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, 3257866 + ... + 3274198.

Almost surely, 253344100656 is an apocalyptic number.

53344100656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53344100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65190039376).

53344100656 is an abundant number, since it is smaller than the sum of its proper divisors (77035978096).

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

53344100656 is a wasteful number, since it uses less digits than its factorization.

53344100656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16594 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 53344100656 in words is "fifty-three billion, three hundred forty-four million, one hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 241 242 308 482 484 616 847 964 968 1232 1687 1694 1928 1936 2651 3374 3388 3856 5302 6748 6776 10604 13496 13552 16333 18557 21208 26992 29161 32666 37114 42416 58322 65332 74228 114331 116644 130664 148456 179663 204127 228662 233288 261328 296912 359326 408254 457324 466576 718652 816508 914648 1257641 1437304 1633016 1829296 1976293 2515282 2874608 3266032 3936253 3952586 5030564 7872506 7905172 10061128 13834051 15745012 15810344 20122256 27553771 27668102 31490024 31620688 43298783 55107542 55336204 62980048 86597566 110215084 110672408 173195132 220430168 221344816 303091481 346390264 440860336 476286613 606182962 692780528 952573226 1212365924 1905146452 2424731848 3334006291 3810292904 4849463696 6668012582 7620585808 13336025164 26672050328 53344100656