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117152215506510 = 235192939717852011
BaseRepresentation
bin11010101000110010100000…
…001100001001111001001110
3120100210122100022211122221120
4122220302200030021321032
5110323410214132202020
61053054552415541410
733450653053323012
oct3250624014117116
9510718308748846
10117152215506510
1134367a805574a8
1211180a73b2a866
13504a539179922
1420d02a9c80542
15d825e8272740
hex6a8ca0309e4e

117152215506510 has 128 divisors (see below), whose sum is σ = 306940353523200. Its totient is φ = 28503804510720.

The previous prime is 117152215506493. The next prime is 117152215506533. The reversal of 117152215506510 is 15605512251711.

It is a super-3 number, since 3×1171522155065103 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2363596 + ... + 15488415.

It is an arithmetic number, because the mean of its divisors is an integer number (2397971511900).

Almost surely, 2117152215506510 is an apocalyptic number.

117152215506510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117152215506510 is an abundant number, since it is smaller than the sum of its proper divisors (189788138016690).

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

117152215506510 is a wasteful number, since it uses less digits than its factorization.

117152215506510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17852466.

The product of its (nonzero) digits is 105000, while the sum is 42.

The spelling of 117152215506510 in words is "one hundred seventeen trillion, one hundred fifty-two billion, two hundred fifteen million, five hundred six thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 397 435 551 570 794 870 1102 1191 1653 1985 2382 2755 3306 3970 5510 5955 7543 8265 11513 11910 15086 16530 22629 23026 34539 37715 45258 57565 69078 75430 113145 115130 172695 218747 226290 345390 437494 656241 1093735 1312482 2187470 3281205 6562410 17852011 35704022 53556033 89260055 107112066 178520110 267780165 339188209 517708319 535560330 678376418 1017564627 1035416638 1553124957 1695941045 2035129254 2588541595 3106249914 3391882090 5087823135 5177083190 7087248367 7765624785 9836458061 10175646270 14174496734 15531249570 19672916122 21261745101 29509374183 35436241835 42523490202 49182290305 59018748366 70872483670 98364580610 106308725505 134657718973 147546870915 205530202643 212617451010 269315437946 295093741830 403973156919 411060405286 616590607929 673288594865 807946313838 1027651013215 1233181215858 1346577189730 2019865784595 2055302026430 3082953039645 3905073850217 4039731569190 6165906079290 7810147700434 11715221550651 19525369251085 23430443101302 39050738502170 58576107753255 117152215506510