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152003434422 = 237471492711907
BaseRepresentation
bin1000110110010000011…
…1000101011110110110
3112112100101021112020110
42031210013011132312
54442300334400142
6153455053043450
713660533605640
oct2154407053666
9475311245213
10152003434422
1159511a81084
1225561786586
1311445659b08
1474dd8a1890
153e4991e99c
hex23641c57b6

152003434422 has 128 divisors (see below), whose sum is σ = 358716211200. Its totient is φ = 42042395520.

The previous prime is 152003434403. The next prime is 152003434477. The reversal of 152003434422 is 224434300251.

152003434422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152003434422.

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 63 ways as a sum of consecutive naturals, for example, 79707193 + ... + 79709099.

It is an arithmetic number, because the mean of its divisors is an integer number (2802470400).

Almost surely, 2152003434422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152003434422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179358105600).

152003434422 is an abundant number, since it is smaller than the sum of its proper divisors (206712776778).

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

152003434422 is a wasteful number, since it uses less digits than its factorization.

152003434422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 152003434422 its reverse (224434300251), we get a palindrome (376437734673).

The spelling of 152003434422 in words is "one hundred fifty-two billion, three million, four hundred thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 149 271 282 298 329 447 542 658 813 894 987 1043 1626 1897 1907 1974 2086 3129 3794 3814 5691 5721 6258 7003 11382 11442 12737 13349 14006 21009 25474 26698 38211 40047 40379 42018 49021 76422 80094 80758 89159 89629 98042 121137 147063 178318 179258 242274 267477 268887 282653 284143 294126 516797 534954 537774 565306 568286 627403 847959 852429 1033594 1254806 1550391 1695918 1704858 1882209 1897813 1989001 3100782 3617579 3764418 3795626 3978002 5693439 5967003 7235158 10852737 11386878 11934006 13284691 13354721 21705474 24289459 26569382 26709442 39854073 40064163 48578918 72868377 77002753 79708146 80128326 93483047 145736754 154005506 170026213 186966094 231008259 280449141 340052426 462016518 510078639 539019271 560898282 1020157278 1078038542 1617057813 3234115626 3619129391 7238258782 10857388173 21714776346 25333905737 50667811474 76001717211 152003434422