Search a number
-
+
151886549556 = 223271931722337
BaseRepresentation
bin1000110101110100100…
…1001101001000110100
3112112001020100011100100
42031131021031020310
54442030424041211
6153435315514100
713654614240510
oct2153511151064
9475036304310
10151886549556
1159461aa7815
122552a5b8930
1311427383a81
1474cc157140
153e3e532156
hex235d24d234

151886549556 has 72 divisors (see below), whose sum is σ = 461877241280. Its totient is φ = 41112147456.

The previous prime is 151886549531. The next prime is 151886549579. The reversal of 151886549556 is 655945688151.

151886549556 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 86 + 549 + 5 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 151886549493 and 151886549502.

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 23 ways as a sum of consecutive naturals, for example, 15856381 + ... + 15865956.

Almost surely, 2151886549556 is an apocalyptic number.

It is an amenable number.

151886549556 is an abundant number, since it is smaller than the sum of its proper divisors (309990691724).

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

151886549556 is a wasteful number, since it uses less digits than its factorization.

151886549556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31722373 (or 31722368 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 63.

The spelling of 151886549556 in words is "one hundred fifty-one billion, eight hundred eighty-six million, five hundred forty-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 31722337 63444674 95167011 126889348 190334022 222056359 285501033 380668044 444112718 571002066 602724403 666169077 888225436 1142004132 1205448806 1332338154 1808173209 1998507231 2410897612 2664676308 3616346418 3997014462 4219070821 5424519627 7232692836 7994028924 8438141642 10849039254 12657212463 16876283284 21698078508 25314424926 37971637389 50628849852 75943274778 151886549556