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117048816 = 243219179239
BaseRepresentation
bin1101111101000…
…00010111110000
322011020200210100
412332200113300
5214431030231
615340432400
72620620123
oct676402760
9264220710
10117048816
1160086565
1233248700
131b332871
141178c3ba
15a4211e6
hex6fa05f0

117048816 has 120 divisors (see below), whose sum is σ = 348192000. Its totient is φ = 36602496.

The previous prime is 117048787. The next prime is 117048829. The reversal of 117048816 is 618840711.

117048816 is a `hidden beast` number, since 1 + 170 + 488 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489625 + ... + 489863.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2117048816 is an apocalyptic number.

117048816 is a gapful number since it is divisible by the number (16) 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 117048816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

117048816 is an abundant number, since it is smaller than the sum of its proper divisors (231143184).

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

117048816 is a wasteful number, since it uses less digits than its factorization.

117048816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117048816 is about 10818.9101114669. The cubic root of 117048816 is about 489.1653373438.

The spelling of 117048816 in words is "one hundred seventeen million, forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 179 228 239 304 342 358 456 478 537 684 716 717 912 956 1074 1368 1432 1434 1611 1912 2148 2151 2736 2864 2868 3222 3401 3824 4296 4302 4541 5736 6444 6802 8592 8604 9082 10203 11472 12888 13604 13623 17208 18164 20406 25776 27208 27246 30609 34416 36328 40812 40869 42781 54416 54492 61218 72656 81624 81738 85562 108984 122436 128343 163248 163476 171124 217968 244872 256686 326952 342248 385029 489744 513372 653904 684496 770058 812839 1026744 1540116 1625678 2053488 2438517 3080232 3251356 4877034 6160464 6502712 7315551 9754068 13005424 14631102 19508136 29262204 39016272 58524408 117048816