Search a number
-
+
89753896974 = 23771731034003
BaseRepresentation
bin101001110010110111…
…1111100100000001110
322120200002210101020110
41103211233330200032
52432303444200344
6105122105300450
76325120352010
oct1234557744016
9276602711213
1089753896974
113507880a265
121548a494726
138604b455a1
1444b63581b0
1525049673b9
hex14e5bfc80e

89753896974 has 128 divisors (see below), whose sum is σ = 212991787008. Its totient is φ = 24688177920.

The previous prime is 89753896961. The next prime is 89753897003. The reversal of 89753896974 is 47969835798.

It is a junction number, because it is equal to n+sod(n) for n = 89753896896 and 89753896905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22419657 + ... + 22423659.

It is an arithmetic number, because the mean of its divisors is an integer number (1663998336).

Almost surely, 289753896974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89753896974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106495893504).

89753896974 is an abundant number, since it is smaller than the sum of its proper divisors (123237890034).

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

89753896974 is a wasteful number, since it uses less digits than its factorization.

89753896974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262.

The product of its digits is 823011840, while the sum is 75.

The spelling of 89753896974 in words is "eighty-nine billion, seven hundred fifty-three million, eight hundred ninety-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 71 73 103 142 146 206 213 219 309 426 438 497 511 618 721 994 1022 1442 1491 1533 2163 2982 3066 4003 4326 5183 7313 7519 8006 10366 12009 14626 15038 15549 21939 22557 24018 28021 31098 36281 43878 45114 51191 52633 56042 72562 84063 102382 105266 108843 153573 157899 168126 217686 284213 292219 307146 315798 412309 533849 568426 584438 824618 852639 876657 1067698 1236927 1601547 1705278 1753314 1989491 2045533 2473854 2886163 3203094 3736943 3978982 4091066 5772326 5968473 6136599 7473886 8658489 11210829 11936946 12273198 17316978 20747549 22421658 29273939 30098557 41495098 58547878 60197114 62242647 87821817 90295671 124485294 145232843 175643634 180591342 204917573 210689899 290465686 409835146 421379798 435698529 614752719 632069697 871397058 1229505438 1264139394 2136997547 4273995094 6410992641 12821985282 14958982829 29917965658 44876948487 89753896974