Search a number
-
+
117427436856 = 233313936710657
BaseRepresentation
bin110110101011100111…
…0000111110100111000
3102020002201102212022000
41231113032013310320
53410442410434411
6125540113301000
711324650513212
oct1552716076470
9366081385260
10117427436856
11458897aa384
121a912264760
13b0c522c862
14597d8075b2
1530c41e4956
hex1b57387d38

117427436856 has 128 divisors (see below), whose sum is σ = 329460096000. Its totient is φ = 38751353856.

The previous prime is 117427436827. The next prime is 117427436881. The reversal of 117427436856 is 658634724711.

117427436856 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 274 + 368 + 5 + 6 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11013480 + ... + 11024136.

It is an arithmetic number, because the mean of its divisors is an integer number (2573907000).

Almost surely, 2117427436856 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 117427436856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164730048000).

117427436856 is an abundant number, since it is smaller than the sum of its proper divisors (212032659144).

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

117427436856 is a wasteful number, since it uses less digits than its factorization.

117427436856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11168 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 117427436856 in words is "one hundred seventeen billion, four hundred twenty-seven million, four hundred thirty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 367 417 556 734 834 1101 1112 1251 1468 1668 2202 2502 2936 3303 3336 3753 4404 5004 6606 7506 8808 9909 10008 10657 13212 15012 19818 21314 26424 30024 31971 39636 42628 51013 63942 79272 85256 95913 102026 127884 153039 191826 204052 255768 287739 306078 383652 408104 459117 575478 612156 767304 918234 1150956 1224312 1377351 1481323 1836468 2301912 2754702 2962646 3672936 3911119 4443969 5509404 5925292 7822238 8887938 11018808 11733357 11850584 13331907 15644476 17775876 23466714 26663814 31288952 35200071 35551752 39995721 46933428 53327628 70400142 79991442 93866856 105600213 106655256 140800284 159982884 211200426 281600568 319965768 422400852 543645541 844801704 1087291082 1630936623 2174582164 3261873246 4349164328 4892809869 6523746492 9785619738 13047492984 14678429607 19571239476 29356859214 39142478952 58713718428 117427436856