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65693056 = 2711133797
BaseRepresentation
bin1111101010011…
…0010110000000
311120121112221011
43322212112000
5113304134211
610304010304
71425244642
oct372462600
9146545834
1065693056
113409a190
121a000994
13107c1340
148a20892
155b79921
hex3ea6580

65693056 has 128 divisors (see below), whose sum is σ = 159536160. Its totient is φ = 26542080.

The previous prime is 65693053. The next prime is 65693063. The reversal of 65693056 is 65039656.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65693053) 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, 677200 + ... + 677296.

Almost surely, 265693056 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 65693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79768080).

65693056 is an abundant number, since it is smaller than the sum of its proper divisors (93843104).

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

65693056 is a wasteful number, since it uses less digits than its factorization.

65693056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The square root of 65693056 is about 8105.1252920606. The cubic root of 65693056 is about 403.4965463503.

The spelling of 65693056 in words is "sixty-five million, six hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 97 104 128 143 148 176 194 208 286 296 352 388 407 416 481 572 592 704 776 814 832 962 1067 1144 1184 1261 1408 1552 1628 1664 1924 2134 2288 2368 2522 3104 3256 3589 3848 4268 4576 4736 5044 5291 6208 6512 7178 7696 8536 9152 10088 10582 12416 13024 13871 14356 15392 17072 18304 20176 21164 26048 27742 28712 30784 34144 39479 40352 42328 46657 52096 55484 57424 61568 68288 78958 80704 84656 93314 110968 114848 136576 157916 161408 169312 186628 221936 229696 315832 338624 373256 443872 459392 513227 631664 677248 746512 887744 1026454 1263328 1493024 1775488 2052908 2526656 2986048 4105816 5053312 5972096 8211632 16423264 32846528 65693056