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116467117704 = 23337136156597
BaseRepresentation
bin110110001110111111…
…0110010111010001000
3102010121210102121002000
41230131332302322020
53402011040231304
6125300530311000
711262110111010
oct1543576627210
9363553377060
10116467117704
1145436719393
121a6a4728460
13aca12a6b82
1458cc068c40
153069c50939
hex1b1dfb2e88

116467117704 has 128 divisors (see below), whose sum is σ = 370015084800. Its totient is φ = 33251281920.

The previous prime is 116467117693. The next prime is 116467117717. The reversal of 116467117704 is 407711764611.

116467117704 is a `hidden beast` number, since 1 + 1 + 6 + 467 + 117 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116467117704.

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, 2029534 + ... + 2086130.

It is an arithmetic number, because the mean of its divisors is an integer number (2890742850).

Almost surely, 2116467117704 is an apocalyptic number.

116467117704 is a gapful number since it is divisible by the number (14) 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 116467117704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185007542400).

116467117704 is an abundant number, since it is smaller than the sum of its proper divisors (253547967096).

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

116467117704 is a wasteful number, since it uses less digits than its factorization.

116467117704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57980 (or 57970 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 116467117704 in words is "one hundred sixteen billion, four hundred sixty-seven million, one hundred seventeen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1361 1512 2722 4083 5444 8166 9527 10888 12249 16332 19054 24498 28581 32664 36747 38108 48996 56597 57162 73494 76216 85743 97992 113194 114324 146988 169791 171486 226388 228648 257229 293976 339582 342972 396179 452776 509373 514458 679164 685944 792358 1018746 1028916 1188537 1358328 1528119 1584716 2037492 2057832 2377074 3056238 3169432 3565611 4074984 4754148 6112476 7131222 9508296 10696833 12224952 14262444 21393666 28524888 42787332 77028517 85574664 154057034 231085551 308114068 462171102 539199619 616228136 693256653 924342204 1078399238 1386513306 1617598857 1848684408 2079769959 2156798476 2773026612 3235197714 4159539918 4313596952 4852796571 5546053224 6470395428 8319079836 9705593142 12940790856 14558389713 16638159672 19411186284 29116779426 38822372568 58233558852 116467117704