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61694375952 = 24311163719997
BaseRepresentation
bin111001011101010001…
…010111100000010000
312220020120212000121010
4321131101113200100
52002322230012302
644201512330520
74312562354166
oct713521274020
9186216760533
1061694375952
1124189959870
12bb593a3a40
135a827b7901
142db3913236
15191139516c
hexe5d457810

61694375952 has 160 divisors (see below), whose sum is σ = 175351633920. Its totient is φ = 18536117760.

The previous prime is 61694375891. The next prime is 61694375969. The reversal of 61694375952 is 25957349616.

It is a junction number, because it is equal to n+sod(n) for n = 61694375892 and 61694375901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61879518 + ... + 61880514.

It is an arithmetic number, because the mean of its divisors is an integer number (1095947712).

Almost surely, 261694375952 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 61694375952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87675816960).

61694375952 is an abundant number, since it is smaller than the sum of its proper divisors (113657257968).

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

61694375952 is a wasteful number, since it uses less digits than its factorization.

61694375952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The spelling of 61694375952 in words is "sixty-one billion, six hundred ninety-four million, three hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 163 176 264 326 489 528 652 719 978 997 1304 1438 1793 1956 1994 2157 2608 2876 2991 3586 3912 3988 4314 5379 5752 5982 7172 7824 7909 7976 8628 10758 10967 11504 11964 14344 15818 15952 17256 21516 21934 23727 23928 28688 31636 32901 34512 43032 43868 47454 47856 63272 65802 86064 87736 94908 117197 126544 131604 162511 175472 189816 234394 263208 325022 351591 379632 468788 487533 526416 650044 703182 716843 937576 975066 1289167 1300088 1406364 1433686 1787621 1875152 1950132 2150529 2578334 2600176 2812728 2867372 3575242 3867501 3900264 4301058 5156668 5362863 5625456 5734744 7150484 7735002 7800528 7885273 8602116 10313336 10725726 11469488 14300968 15470004 15770546 17204232 20626672 21451452 23655819 28601936 30940008 31541092 34408464 42902904 47311638 61880016 63082184 85805808 94623276 116845409 126164368 189246552 233690818 350536227 378493104 467381636 701072454 934763272 1285299499 1402144908 1869526544 2570598998 2804289816 3855898497 5141197996 5608579632 7711796994 10282395992 15423593988 20564791984 30847187976 61694375952