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117153073620 = 223251125378929
BaseRepresentation
bin110110100011011011…
…1100000100111010100
3102012101121011202200200
41231012313200213110
53404412141323440
6125452552540500
711315106460332
oct1550667404724
9365347152620
10117153073620
1145758946200
121a8563b1730
13b080439a4b
1459551c8b52
1530aa09bc30
hex1b46de09d4

117153073620 has 108 divisors (see below), whose sum is σ = 390607138740. Its totient is φ = 28400739840.

The previous prime is 117153073613. The next prime is 117153073657. The reversal of 117153073620 is 26370351711.

117153073620 is a `hidden beast` number, since 1 + 1 + 71 + 530 + 7 + 36 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42023360016 + 75129713604 = 204996^2 + 274098^2 .

It is a super-2 number, since 2×1171530736202 (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2667685 + ... + 2711244.

Almost surely, 2117153073620 is an apocalyptic number.

117153073620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117153073620 is an abundant number, since it is smaller than the sum of its proper divisors (273454065120).

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

117153073620 is a wasteful number, since it uses less digits than its factorization.

117153073620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378966 (or 5378950 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 117153073620 in words is "one hundred seventeen billion, one hundred fifty-three million, seventy-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 5378929 10757858 16136787 21515716 26894645 32273574 48410361 53789290 59168219 64547148 80683935 96820722 107578580 118336438 161367870 177504657 193641444 236672876 242051805 295841095 322735740 355009314 484103610 532513971 591682190 650850409 710018628 887523285 968207220 1065027942 1183364380 1301700818 1775046570 1952551227 2130055884 2603401636 2662569855 3254252045 3550093140 3905102454 5325139710 5857653681 6508504090 7810204908 9762756135 10650279420 11715307362 13017008180 19525512270 23430614724 29288268405 39051024540 58576536810 117153073620