Search a number
-
+
151457460102 = 2321329436167127
BaseRepresentation
bin1000110100001110010…
…0010110111110000110
3112110221022221011021100
42031003210112332012
54440141102210402
6153324551000530
713641154112034
oct2150344267606
9473838834240
10151457460102
1159261873533
122542a969146
13113894c8aa0
14748b17d554
153e16a2471c
hex2343916f86

151457460102 has 384 divisors, whose sum is σ = 388935106560. Its totient is φ = 42247941120.

The previous prime is 151457460053. The next prime is 151457460107. The reversal of 151457460102 is 201064754151.

151457460102 is a `hidden beast` number, since 1 + 5 + 1 + 45 + 7 + 4 + 601 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151457460107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1192578363 + ... + 1192578489.

It is an arithmetic number, because the mean of its divisors is an integer number (1012851840).

Almost surely, 2151457460102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151457460102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194467553280).

151457460102 is an abundant number, since it is smaller than the sum of its proper divisors (237477646458).

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

151457460102 is a wasteful number, since it uses less digits than its factorization.

151457460102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 151457460102 in words is "one hundred fifty-one billion, four hundred fifty-seven million, four hundred sixty thousand, one hundred two".