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95429095056 = 243485812
BaseRepresentation
bin101100011100000000…
…1000110111010010000
3100010022121200022110000
41120320001012322100
53030414322020211
6111501200410000
76615551632011
oct1307001067220
9303277608400
1095429095056
1137520266609
12165b3016900
138cca83b569
144893d79008
152737ce2656
hex1638046e90

95429095056 has 75 divisors (see below), whose sum is σ = 276231678393. Its totient is φ = 31805991360.

The previous prime is 95429094983. The next prime is 95429095063. The reversal of 95429095056 is 65059092459.

The square root of 95429095056 is 308916.

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

95429095056 is a `hidden beast` number, since 9 + 5 + 42 + 90 + 9 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22240656 + 95406854400 = 4716^2 + 308880^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 95429094993 and 95429095011.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11116686 + ... + 11125266.

Almost surely, 295429095056 is an apocalyptic number.

95429095056 is the 308916-th square number.

It is an amenable number.

95429095056 is an abundant number, since it is smaller than the sum of its proper divisors (180802583337).

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

95429095056 is an frugal number, since it uses more digits than its factorization.

95429095056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17182 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 95429095056 in words is "ninety-five billion, four hundred twenty-nine million, ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8581 17162 25743 34324 51486 68648 77229 102972 137296 154458 205944 231687 308916 411888 463374 617832 695061 926748 1235664 1390122 1853496 2780244 3706992 5560488 11120976 73633561 147267122 220900683 294534244 441801366 589068488 662702049 883602732 1178136976 1325404098 1767205464 1988106147 2650808196 3534410928 3976212294 5301616392 5964318441 7952424588 10603232784 11928636882 15904849176 23857273764 31809698352 47714547528 95429095056