Search a number
-
+
151106826964 = 221009136127509
BaseRepresentation
bin1000110010111010101…
…0110011001011010100
3112110000220011011000211
42030232222303023110
54433431321430324
6153230103415204
713626365560012
oct2145652631324
9473026134024
10151106826964
11590a1956685
1225351454504
1311331980662
1474567898b2
153de5d63294
hex232eab32d4

151106826964 has 24 divisors (see below), whose sum is σ = 264903143400. Its totient is φ = 75420334080.

The previous prime is 151106826887. The next prime is 151106826979. The reversal of 151106826964 is 469628601151.

It is a happy number.

151106826964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4028440900 + 147078386064 = 63470^2 + 383508^2 .

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 7 ways as a sum of consecutive naturals, for example, 5479242 + ... + 5506750.

It is an arithmetic number, because the mean of its divisors is an integer number (11037630975).

Almost surely, 2151106826964 is an apocalyptic number.

It is an amenable number.

151106826964 is a deficient number, since it is larger than the sum of its proper divisors (113796316436).

151106826964 is a wasteful number, since it uses less digits than its factorization.

151106826964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29883 (or 29881 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 151106826964 in words is "one hundred fifty-one billion, one hundred six million, eight hundred twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 1009 1361 2018 2722 4036 5444 27509 55018 110036 1373249 2746498 5492996 27756581 37439749 55513162 74879498 111026324 149758996 37776706741 75553413482 151106826964