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117655167344 = 241113291979001
BaseRepresentation
bin110110110010011001…
…0110110000101110000
3102020200120221202210112
41231210302312011300
53411424210323334
6130014450320452
711333414264411
oct1554462660560
9366616852715
10117655167344
11459963026a0
121a976589128
13b130475b20
1459a1b67808
1530d91ca4ce
hex1b64cb6170

117655167344 has 160 divisors (see below), whose sum is σ = 278481551040. Its totient is φ = 47416320000.

The previous prime is 117655167277. The next prime is 117655167391. The reversal of 117655167344 is 443761556711.

It is a junction number, because it is equal to n+sod(n) for n = 117655167292 and 117655167301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13066844 + ... + 13075844.

It is an arithmetic number, because the mean of its divisors is an integer number (1740509694).

Almost surely, 2117655167344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117655167344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139240775520).

117655167344 is an abundant number, since it is smaller than the sum of its proper divisors (160826383696).

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

117655167344 is a wasteful number, since it uses less digits than its factorization.

117655167344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9253 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 50.

The spelling of 117655167344 in words is "one hundred seventeen billion, six hundred fifty-five million, one hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 29 44 52 58 88 104 116 143 176 197 208 232 286 319 377 394 464 572 638 754 788 1144 1276 1508 1576 2167 2288 2552 2561 3016 3152 4147 4334 5104 5122 5713 6032 8294 8668 9001 10244 11426 16588 17336 18002 20488 22852 28171 33176 34672 36004 40976 45704 56342 62843 66352 72008 74269 91408 99011 112684 117013 125686 144016 148538 198022 225368 234026 251372 261029 297076 396044 450736 468052 502744 522058 594152 792088 816959 936104 1005488 1044116 1188304 1287143 1584176 1633918 1773197 1872208 2088232 2574286 2871319 3267836 3393377 3546394 4176464 5148572 5742638 6535672 6786754 7092788 10297144 11485276 13071344 13573508 14185576 19505167 20594288 22970552 23051561 27147016 28371152 37327147 39010334 45941104 46103122 51422713 54294032 74654294 78020668 92206244 102845426 149308588 156041336 184412488 205690852 253567171 298617176 312082672 368824976 411381704 507134342 565649843 597234352 668495269 822763408 1014268684 1131299686 1336990538 2028537368 2262599372 2673981076 4057074736 4525198744 5347962152 7353447959 9050397488 10695924304 14706895918 29413791836 58827583672 117655167344