Search a number
-
+
151752620496 = 2433161512927
BaseRepresentation
bin1000110101010100101…
…0010011100111010000
3112111200220022212012210
42031111022103213100
54441242132323441
6153414133152120
713651366664001
oct2152512234720
9474626285183
10151752620496
11593a3441944
12254b178b640
13114056c0ac9
1474b84531a8
153e328c9616
hex23552939d0

151752620496 has 20 divisors (see below), whose sum is σ = 392027603072. Its totient is φ = 50584206816.

The previous prime is 151752620479. The next prime is 151752620531. The reversal of 151752620496 is 694026257151.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 3161512927 = 151752620496 / (1 + 5 + 1 + 7 + 5 + 2 + 6 + 2 + 0 + 4 + 9 + 6).

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 3 ways as a sum of consecutive naturals, for example, 1580756416 + ... + 1580756511.

Almost surely, 2151752620496 is an apocalyptic number.

151752620496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151752620496 is an abundant number, since it is smaller than the sum of its proper divisors (240274982576).

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

151752620496 is a wasteful number, since it uses less digits than its factorization.

151752620496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161512938 (or 3161512932 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 151752620496 in words is "one hundred fifty-one billion, seven hundred fifty-two million, six hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 3161512927 6323025854 9484538781 12646051708 18969077562 25292103416 37938155124 50584206832 75876310248 151752620496