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117495386176 = 267261212
BaseRepresentation
bin110110101101101000…
…1010101000001000000
3102020021110022001020111
41231123101111001000
53411112304324201
6125550541521104
711326434206200
oct1553321250100
9366243261214
10117495386176
114591409a743
121a930b73194
13b106330b5c
145988854400
1530ca167b51
hex1b5b455040

117495386176 has 63 divisors (see below), whose sum is σ = 271265331357. Its totient is φ = 50346938880.

The previous prime is 117495386153. The next prime is 117495386179. The reversal of 117495386176 is 671683594711.

It is a happy number.

The square root of 117495386176 is 342776.

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

It can be written as a sum of positive squares in only one way, i.e., 13450432576 + 104044953600 = 115976^2 + 322560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 117495386176.

It is not an unprimeable number, because it can be changed into a prime (117495386179) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19192396 + ... + 19198516.

Almost surely, 2117495386176 is an apocalyptic number.

117495386176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117495386176 is the 342776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117495386176

117495386176 is an abundant number, since it is smaller than the sum of its proper divisors (153769945181).

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

117495386176 is an frugal number, since it uses more digits than its factorization.

117495386176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 6130 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 58.

It can be divided in two parts, 1174953 and 86176, that added together give a square (1261129 = 11232).

The spelling of 117495386176 in words is "one hundred seventeen billion, four hundred ninety-five million, three hundred eighty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 6121 12242 24484 42847 48968 85694 97936 171388 195872 299929 342776 391744 599858 685552 1199716 1371104 2399432 2742208 4798864 9597728 19195456 37466641 74933282 149866564 262266487 299733128 524532974 599466256 1049065948 1198932512 1835865409 2098131896 2397865024 3671730818 4196263792 7343461636 8392527584 14686923272 16785055168 29373846544 58747693088 117495386176