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152426343234 = 231131106969691
BaseRepresentation
bin1000110111110101010…
…0010110101101000010
3112120102212001112001210
42031331110112231002
54444132120440414
6154005041310550
714004160353144
oct2157524265502
9476385045053
10152426343234
11597097737a0
122565b335456
13114b215c809
14753db0ac94
153e71b0ae59
hex237d516b42

152426343234 has 64 divisors (see below), whose sum is σ = 343620587520. Its totient is φ = 44657352000.

The previous prime is 152426343217. The next prime is 152426343239. The reversal of 152426343234 is 432343624251.

152426343234 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 2×1524263432342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152426343192 and 152426343201.

It is not an unprimeable number, because it can be changed into a prime (152426343239) 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, 2152329 + ... + 2222019.

It is an arithmetic number, because the mean of its divisors is an integer number (5369071680).

Almost surely, 2152426343234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152426343234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171810293760).

152426343234 is an abundant number, since it is smaller than the sum of its proper divisors (191194244286).

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

152426343234 is a wasteful number, since it uses less digits than its factorization.

152426343234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70807.

The product of its digits is 414720, while the sum is 39.

Adding to 152426343234 its reverse (432343624251), we get a palindrome (584769967485).

The spelling of 152426343234 in words is "one hundred fifty-two billion, four hundred twenty-six million, three hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1069 2046 2138 3207 6414 11759 23518 33139 35277 66278 69691 70554 99417 139382 198834 209073 364529 418146 729058 766601 1093587 1533202 2160421 2187174 2299803 4320842 4599606 6481263 12962526 23764631 47529262 71293893 74499679 142587786 148999358 223499037 446998074 819496469 1638992938 2309490049 2458489407 4618980098 4916978814 6928470147 13856940294 25404390539 50808781078 76213171617 152426343234