Search a number
-
+
152914906254 = 231171293111373
BaseRepresentation
bin1000111001101001110…
…0000100110010001110
3112121200220101002112110
42032122130010302032
510001132204000004
6154125333044450
714022242154135
oct2163234046216
9477626332473
10152914906254
115993a529390
1225776a86726
131155c43bc66
14758896691c
153e9e965589
hex239a704c8e

152914906254 has 64 divisors (see below), whose sum is σ = 339489335808. Its totient is φ = 45528873600.

The previous prime is 152914906231. The next prime is 152914906271. The reversal of 152914906254 is 452609419251.

It is a super-3 number, since 3×1529149062543 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1317312 + ... + 1428684.

It is an arithmetic number, because the mean of its divisors is an integer number (5304520872).

Almost surely, 2152914906254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152914906254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169744667904).

152914906254 is an abundant number, since it is smaller than the sum of its proper divisors (186574429554).

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

152914906254 is a wasteful number, since it uses less digits than its factorization.

152914906254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111753.

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 152914906254 in words is "one hundred fifty-two billion, nine hundred fourteen million, nine hundred six thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 293 426 586 781 879 1562 1758 2343 3223 4686 6446 9669 19338 20803 41606 62409 111373 124818 222746 228833 334119 457666 668238 686499 1225103 1372998 2450206 3675309 7350618 7907483 15814966 23722449 32632289 47444898 65264578 86982313 97896867 173964626 195793734 260946939 358955179 521893878 717910358 1076865537 2153731074 2316892519 4633785038 6950677557 13901355114 25485817709 50971635418 76457453127 152914906254