Search a number
-
+
152012004424 = 23729374161703
BaseRepresentation
bin1000110110010010011…
…1110001110001001000
3112112100222101221001221
42031210213301301020
54442310033120144
6153500000451424
713660666501240
oct2154447616110
9475328357057
10152012004424
11595168a4925
1225564619b74
131144736a817
147500a92b20
153e4a563d84
hex23649f1c48

152012004424 has 128 divisors (see below), whose sum is σ = 354526502400. Its totient is φ = 59707791360.

The previous prime is 152012004379. The next prime is 152012004427. The reversal of 152012004424 is 424400210251.

It is not an unprimeable number, because it can be changed into a prime (152012004427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432757 + ... + 2494459.

It is an arithmetic number, because the mean of its divisors is an integer number (2769738300).

Almost surely, 2152012004424 is an apocalyptic number.

152012004424 is a gapful number since it is divisible by the number (14) 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 152012004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177263251200).

152012004424 is an abundant number, since it is smaller than the sum of its proper divisors (202514497976).

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

152012004424 is a wasteful number, since it uses less digits than its factorization.

152012004424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61823 (or 61819 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 152012004424 its reverse (424400210251), we get a palindrome (576412214675).

The spelling of 152012004424 in words is "one hundred fifty-two billion, twelve million, four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 37 41 56 58 74 82 116 148 164 203 232 259 287 296 328 406 518 574 812 1036 1073 1148 1189 1517 1624 2072 2146 2296 2378 3034 4292 4756 6068 7511 8323 8584 9512 10619 12136 15022 16646 21238 30044 33292 42476 43993 60088 61703 66584 84952 87986 123406 175972 246812 307951 351944 431921 493624 615902 863842 1231804 1727684 1789387 2283011 2463608 2529823 3455368 3578774 4566022 5059646 7157548 9132044 10119292 12525709 14315096 15981077 17708761 18264088 20238584 25051418 31962154 35417522 50102836 63924308 66207319 70835044 73364867 93603451 100205672 127848616 132414638 141670088 146729734 187206902 264829276 293459468 374413804 463451233 513554069 529658552 586918936 655224157 748827608 926902466 1027108138 1310448314 1853804932 2054216276 2620896628 2714500079 3707609864 4108432552 5241793256 5429000158 10858000316 19001500553 21716000632 38003001106 76006002212 152012004424