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152078716920 = 233513611598137
BaseRepresentation
bin1000110110100010011…
…0010000111111111000
3112112112121221021102010
42031220212100333320
54442424122420140
6153510342405520
713662436523304
oct2155046207770
9475477837363
10152078716920
115955051aa19
1225582a308a0
1311458127b80
14750989ad04
153e51340880
hex2368990ff8

152078716920 has 128 divisors (see below), whose sum is σ = 499386162240. Its totient is φ = 36821053440.

The previous prime is 152078716903. The next prime is 152078716939. The reversal of 152078716920 is 29617870251.

152078716920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1520787169202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152078716920.

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 31 ways as a sum of consecutive naturals, for example, 703909 + ... + 894228.

Almost surely, 2152078716920 is an apocalyptic number.

152078716920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152078716920 is an abundant number, since it is smaller than the sum of its proper divisors (347307445320).

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

152078716920 is a wasteful number, since it uses less digits than its factorization.

152078716920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598225 (or 1598221 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 152078716920 in words is "one hundred fifty-two billion, seventy-eight million, seven hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3660 3965 4758 6344 7320 7930 9516 11895 15860 19032 23790 31720 47580 95160 1598137 3196274 4794411 6392548 7990685 9588822 12785096 15981370 19177644 20775781 23972055 31962740 38355288 41551562 47944110 62327343 63925480 83103124 95888220 97486357 103878905 124654686 166206248 191776440 194972714 207757810 249309372 292459071 311636715 389945428 415515620 487431785 498618744 584918142 623273430 779890856 831031240 974863570 1169836284 1246546860 1267322641 1462295355 1949727140 2339672568 2493093720 2534645282 2924590710 3801967923 3899454280 5069290564 5849181420 6336613205 7603935846 10138581128 11698362840 12673226410 15207871692 19009839615 25346452820 30415743384 38019679230 50692905640 76039358460 152078716920