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69434243496 = 23332315789021
BaseRepresentation
bin100000010101010011…
…0100111100110101000
320122012222210000212000
41000222212213212220
52114200131242441
651521520451000
75005434221532
oct1005246474650
9218188700760
1069434243496
11274a0902912
1211559479a60
13671717b3a7
143509824852
151c15b092b6
hex102a9a79a8

69434243496 has 128 divisors (see below), whose sum is σ = 202542854400. Its totient is φ = 21997198080.

The previous prime is 69434243447. The next prime is 69434243497.

It is a happy number.

69434243496 is a `hidden beast` number, since 6 + 94 + 34 + 2 + 434 + 96 = 666.

69434243496 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×694342434962 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69434243497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735466 + ... + 824486.

It is an arithmetic number, because the mean of its divisors is an integer number (1582366050).

Almost surely, 269434243496 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 69434243496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101271427200).

69434243496 is an abundant number, since it is smaller than the sum of its proper divisors (133108610904).

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

69434243496 is a wasteful number, since it uses less digits than its factorization.

69434243496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89216 (or 89206 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 69434243496 in words is "sixty-nine billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 157 184 207 216 276 314 414 471 552 621 628 828 942 1242 1256 1413 1656 1884 2484 2826 3611 3768 4239 4968 5652 7222 8478 10833 11304 14444 16956 21666 28888 32499 33912 43332 64998 86664 89021 97497 129996 178042 194994 259992 267063 356084 389988 534126 712168 779976 801189 1068252 1602378 2047483 2136504 2403567 3204756 4094966 4807134 6142449 6409512 8189932 9614268 12284898 13976297 16379864 18427347 19228536 24569796 27952594 36854694 41928891 49139592 55282041 55905188 73709388 83857782 110564082 111810376 125786673 147418776 167715564 221128164 251573346 321454831 335431128 377360019 442256328 503146692 642909662 754720038 964364493 1006293384 1285819324 1509440076 1928728986 2571638648 2893093479 3018880152 3857457972 5786186958 7714915944 8679280437 11572373916 17358560874 23144747832 34717121748 69434243496