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53661704292 = 22327715475483
BaseRepresentation
bin110001111110011111…
…001010000001100100
312010111202222000121100
4301332133022001210
51334344344014132
640352444320100
73606533650320
oct617637120144
9163452860540
1053661704292
11208376a6749
12a497243030
1350a2575761
142850b82980
1515e109437c
hexc7e7ca064

53661704292 has 144 divisors (see below), whose sum is σ = 157522240512. Its totient is φ = 15085586880.

The previous prime is 53661704281. The next prime is 53661704293. The reversal of 53661704292 is 29240716635.

53661704292 is a `hidden beast` number, since 5 + 3 + 6 + 617 + 0 + 4 + 29 + 2 = 666.

53661704292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53661704293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9784183 + ... + 9789665.

It is an arithmetic number, because the mean of its divisors is an integer number (1093904448).

Almost surely, 253661704292 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 53661704292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78761120256).

53661704292 is an abundant number, since it is smaller than the sum of its proper divisors (103860536220).

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

53661704292 is a wasteful number, since it uses less digits than its factorization.

53661704292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 53661704292 in words is "fifty-three billion, six hundred sixty-one million, seven hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 547 639 852 994 1094 1278 1491 1641 1988 2188 2556 2982 3282 3829 4473 4923 5483 5964 6564 7658 8946 9846 10966 11487 15316 16449 17892 19692 21932 22974 32898 34461 38381 38837 45948 49347 65796 68922 76762 77674 98694 115143 116511 137844 153524 155348 197388 230286 233022 271859 345429 349533 389293 460572 466044 543718 690858 699066 778586 815577 1087436 1167879 1381716 1398132 1557172 1631154 2335758 2446731 2725051 2999201 3262308 3503637 4671516 4893462 5450102 5998402 7007274 8175153 8997603 9786924 10900204 11996804 14014548 16350306 17995206 20994407 24525459 26992809 32700612 35990412 41988814 49050918 53985618 62983221 83977628 98101836 107971236 125966442 188949663 212943271 251932884 377899326 425886542 638829813 755798652 851773084 1277659626 1490602897 1916489439 2555319252 2981205794 3832978878 4471808691 5962411588 7665957756 8943617382 13415426073 17887234764 26830852146 53661704292