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117738762240 = 21235111953173
BaseRepresentation
bin110110110100111000…
…1101111000000000000
3102020220102020211102210
41231221301233000000
53412112110342430
6130031034142120
711335450652331
oct1555161570000
9366812224383
10117738762240
1145a29509790
121a99a581940
13b144894568
1459accc8288
1530e16de2b0
hex1b69c6f000

117738762240 has 832 divisors, whose sum is σ = 443304783360. Its totient is φ = 26376929280.

The previous prime is 117738762199. The next prime is 117738762257. The reversal of 117738762240 is 42267837711.

It is a super-2 number, since 2×1177387622402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117738762240.

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, 680570794 + ... + 680570966.

Almost surely, 2117738762240 is an apocalyptic number.

117738762240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117738762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652391680).

117738762240 is an abundant number, since it is smaller than the sum of its proper divisors (325566021120).

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

117738762240 is a wasteful number, since it uses less digits than its factorization.

117738762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

It can be divided in two parts, 117738 and 762240, that added together give a palindrome (879978).

The spelling of 117738762240 in words is "one hundred seventeen billion, seven hundred thirty-eight million, seven hundred sixty-two thousand, two hundred forty".