Search a number
-
+
151516487988 = 223211337245941
BaseRepresentation
bin1000110100011100010…
…1100010000100110100
3112111002110000002022100
42031013011202010310
54440301210103423
6153334500102100
713642501620015
oct2150705420464
9474073002270
10151516487988
1159292120008
1225446694930
13113987c5428
147494d4700c
153e1bcd4343
hex2347162134

151516487988 has 36 divisors (see below), whose sum is σ = 386389402308. Its totient is φ = 50058543360.

The previous prime is 151516487971. The next prime is 151516487989. The reversal of 151516487988 is 889784615151.

151516487988 is a `hidden beast` number, since 1 + 5 + 1 + 516 + 48 + 79 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3497776164 + 148018711824 = 59142^2 + 384732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1515164879882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151516487989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18618903 + ... + 18627038.

It is an arithmetic number, because the mean of its divisors is an integer number (10733038953).

Almost surely, 2151516487988 is an apocalyptic number.

151516487988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151516487988 is an abundant number, since it is smaller than the sum of its proper divisors (234872914320).

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

151516487988 is a wasteful number, since it uses less digits than its factorization.

151516487988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37246064 (or 37246059 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 63.

The spelling of 151516487988 in words is "one hundred fifty-one billion, five hundred sixteen million, four hundred eighty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 37245941 74491882 111737823 148983764 223475646 335213469 446951292 670426938 1340853876 4208791333 8417582666 12626373999 16835165332 25252747998 37879121997 50505495996 75758243994 151516487988