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117545792640 = 2735397154211
BaseRepresentation
bin110110101111001000…
…1100111010010000000
3102020101222010221220120
41231132101213102000
53411213210331030
6125555542140240
711330615515623
oct1553621472200
9366358127816
10117545792640
114593a598881
121a945a21680
13b1138cc273
145991415dba
1530ce7c3010
hex1b5e467480

117545792640 has 128 divisors (see below), whose sum is σ = 375623421120. Its totient is φ = 31266385920.

The previous prime is 117545792621. The next prime is 117545792657. The reversal of 117545792640 is 46297545711.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685135 + ... + 839345.

Almost surely, 2117545792640 is an apocalyptic number.

117545792640 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 117545792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187811710560).

117545792640 is an abundant number, since it is smaller than the sum of its proper divisors (258077628480).

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

117545792640 is a wasteful number, since it uses less digits than its factorization.

117545792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154630 (or 154618 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 117545792640 in words is "one hundred seventeen billion, five hundred forty-five million, seven hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 397 480 640 794 960 1191 1588 1920 1985 2382 3176 3970 4764 5955 6352 7940 9528 11910 12704 15880 19056 23820 25408 31760 38112 47640 50816 63520 76224 95280 127040 152448 154211 190560 254080 308422 381120 462633 616844 762240 771055 925266 1233688 1542110 1850532 2313165 2467376 3084220 3701064 4626330 4934752 6168440 7402128 9252660 9869504 12336880 14804256 18505320 19739008 24673760 29608512 37010640 49347520 59217024 61221767 74021280 98695040 122443534 148042560 183665301 244887068 296085120 306108835 367330602 489774136 612217670 734661204 918326505 979548272 1224435340 1469322408 1836653010 1959096544 2448870680 2938644816 3673306020 3918193088 4897741360 5877289632 7346612040 7836386176 9795482720 11754579264 14693224080 19590965440 23509158528 29386448160 39181930880 58772896320 117545792640