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117379923552 = 2533433159451
BaseRepresentation
bin110110101010001100…
…0110111111001100000
3102012222102000221022000
41231110120313321200
53410343230023202
6125531255044000
711323532613363
oct1552430677140
9365872027260
10117379923552
11458649a7991
121a8ba370600
13b0b8435288
14597739a0da
1530bee5b91c
hex1b54637e60

117379923552 has 96 divisors (see below), whose sum is σ = 350320037760. Its totient is φ = 38216707200.

The previous prime is 117379923533. The next prime is 117379923569. The reversal of 117379923552 is 255329973711.

It is a happy number.

117379923552 is a `hidden beast` number, since 1 + 17 + 3 + 79 + 9 + 2 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1542574 + ... + 1616877.

It is an arithmetic number, because the mean of its divisors is an integer number (3649167060).

Almost surely, 2117379923552 is an apocalyptic number.

117379923552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117379923552 is an abundant number, since it is smaller than the sum of its proper divisors (232940114208).

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

117379923552 is a wasteful number, since it uses less digits than its factorization.

117379923552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159513 (or 3159499 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The spelling of 117379923552 in words is "one hundred seventeen billion, three hundred seventy-nine million, nine hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 3159451 6318902 9478353 12637804 18956706 25275608 28435059 37913412 50551216 56870118 75826824 85305177 101102432 113740236 135856393 151653648 170610354 227480472 271712786 303307296 341220708 407569179 454960944 543425572 682441416 815138358 909921888 1086851144 1222707537 1364882832 1630276716 2173702288 2445415074 2729765664 3260553432 3668122611 4347404576 4890830148 6521106864 7336245222 9781660296 13042213728 14672490444 19563320592 29344980888 39126641184 58689961776 117379923552