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117046761120 = 2532581282473
BaseRepresentation
bin110110100000010000…
…1111101011010100000
3102012010012010112100200
41231000201331122200
53404202432323440
6125434234145200
711312346024342
oct1550041753240
9365105115320
10117046761120
1145703933033
121a826882200
13b0643c5c43
145945033292
1530a0a9bc30
hex1b4087d6a0

117046761120 has 72 divisors (see below), whose sum is σ = 399422077236. Its totient is φ = 31212469248.

The previous prime is 117046761089. The next prime is 117046761133. The reversal of 117046761120 is 21167640711.

117046761120 is a `hidden beast` number, since 1 + 1 + 70 + 467 + 6 + 1 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109924076304 + 7122684816 = 331548^2 + 84396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40639797 + ... + 40642676.

Almost surely, 2117046761120 is an apocalyptic number.

117046761120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117046761120 is an abundant number, since it is smaller than the sum of its proper divisors (282375316116).

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

117046761120 is a wasteful number, since it uses less digits than its factorization.

117046761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81282494 (or 81282483 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 117046761120 in words is "one hundred seventeen billion, forty-six million, seven hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 81282473 162564946 243847419 325129892 406412365 487694838 650259784 731542257 812824730 975389676 1219237095 1300519568 1463084514 1625649460 1950779352 2438474190 2601039136 2926169028 3251298920 3657711285 3901558704 4876948380 5852338056 6502597840 7315422570 7803117408 9753896760 11704676112 13005195680 14630845140 19507793520 23409352224 29261690280 39015587040 58523380560 117046761120