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153423030860 = 2251129100923833
BaseRepresentation
bin1000111011100010111…
…0011010101001001100
3112200000022111111110022
42032320232122221030
510003202243441420
6154252004001312
714040652150031
oct2167056325114
9480008444408
10153423030860
115a080334980
1225899090238
13116107aa0c8
1475d6235388
153ece385c25
hex23b8b9aa4c

153423030860 has 96 divisors (see below), whose sum is σ = 363973780800. Its totient is φ = 53810749440.

The previous prime is 153423030797. The next prime is 153423030869. The reversal of 153423030860 is 68030324351.

153423030860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 153423030860.

It is not an unprimeable number, because it can be changed into a prime (153423030869) by changing a digit.

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, 6425504 + ... + 6449336.

It is an arithmetic number, because the mean of its divisors is an integer number (3791393550).

Almost surely, 2153423030860 is an apocalyptic number.

153423030860 is a gapful number since it is divisible by the number (10) 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 153423030860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181986890400).

153423030860 is an abundant number, since it is smaller than the sum of its proper divisors (210550749940).

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

153423030860 is a wasteful number, since it uses less digits than its factorization.

153423030860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24891 (or 24889 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 153423030860 in words is "one hundred fifty-three billion, four hundred twenty-three million, thirty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1009 1276 1595 2018 3190 4036 5045 6380 10090 11099 20180 22198 23833 29261 44396 47666 55495 58522 95332 110990 117044 119165 146305 221980 238330 262163 292610 321871 476660 524326 585220 643742 691157 1048652 1287484 1310815 1382314 1609355 2621630 2764628 3218710 3455785 5243260 6437420 6911570 7602727 13823140 15205454 24047497 30410908 38013635 48094994 76027270 96189988 120237485 152054540 240474970 264522467 480949940 529044934 697377413 1058089868 1322612335 1394754826 2645224670 2789509652 3486887065 5290449340 6973774130 7671151543 13947548260 15342303086 30684606172 38355757715 76711515430 153423030860