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117387952542 = 236737310861
BaseRepresentation
bin110110101010011011…
…1100000000110011110
3102012222222010212000000
41231110313200012132
53410402303440132
6125532143115130
711323661063460
oct1552467400636
9365888125000
10117387952542
1145869491213
121a900ba2aa6
13b0b9cb6963
14597848a130
1530c09e587c
hex1b54de019e

117387952542 has 112 divisors (see below), whose sum is σ = 309872215392. Its totient is φ = 32632839360.

The previous prime is 117387952519. The next prime is 117387952559. The reversal of 117387952542 is 245259783711.

117387952542 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 8 + 7 + 95 + 2 + 542 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 222192 + ... + 533052.

Almost surely, 2117387952542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117387952542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154936107696).

117387952542 is an abundant number, since it is smaller than the sum of its proper divisors (192484262850).

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

117387952542 is an equidigital number, since it uses as much as digits as its factorization.

117387952542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310925 (or 310910 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 117387952542 in words is "one hundred seventeen billion, three hundred eighty-seven million, nine hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 666 729 777 999 1134 1458 1554 1701 1998 2331 2997 3402 4662 5103 5994 6993 8991 10206 13986 17982 20979 26973 41958 53946 62937 125874 188811 310861 377622 621722 932583 1865166 2176027 2797749 4352054 5595498 6528081 8393247 11501857 13056162 16786494 19584243 23003714 25179741 34505571 39168486 50359482 58752729 69011142 75539223 80512999 103516713 117505458 151078446 161025998 176258187 207033426 226617669 241538997 310550139 352516374 453235338 483077994 528774561 621100278 724616991 931650417 1057549122 1449233982 1586323683 1863300834 2173850973 2794951251 3172647366 4347701946 5589902502 6521552919 8384853753 13043105838 16769707506 19564658757 39129317514 58693976271 117387952542