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92069764900 = 225219215972
BaseRepresentation
bin101010110111111001…
…0010001111100100100
322210122111111122210121
41111233302101330210
53002024324434100
6110143554331324
76436401042361
oct1255762217444
9283574448717
1092069764900
1136056a890a3
1215a15b89b44
1388b3885139
144655b57468
1525dce2051a
hex156fc91f24

92069764900 has 81 divisors (see below), whose sum is σ = 210992282739. Its totient is φ = 34867748160.

The previous prime is 92069764877. The next prime is 92069764901. The reversal of 92069764900 is 946796029.

The square root of 92069764900 is 303430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18372718116 + 73697046784 = 135546^2 + 271472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92069764901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57650902 + ... + 57652498.

Almost surely, 292069764900 is an apocalyptic number.

92069764900 is the 303430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92069764900

92069764900 is an abundant number, since it is smaller than the sum of its proper divisors (118922517839).

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

92069764900 is a wasteful number, since it uses less digits than its factorization.

92069764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 52.

The spelling of 92069764900 in words is "ninety-two billion, sixty-nine million, seven hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1597 1805 1900 3194 3610 6388 7220 7985 9025 15970 18050 30343 31940 36100 39925 60686 79850 121372 151715 159700 303430 576517 606860 758575 1153034 1517150 2306068 2550409 2882585 3034300 5100818 5765170 10201636 11530340 12752045 14412925 25504090 28825850 48457771 51008180 57651700 63760225 96915542 127520450 193831084 242288855 255040900 484577710 920697649 969155420 1211444275 1841395298 2422888550 3682790596 4603488245 4845777100 9206976490 18413952980 23017441225 46034882450 92069764900