Search a number
-
+
137487953052 = 223216738958789
BaseRepresentation
bin1000000000001011101…
…0111010110010011100
3111010212202211200011100
42000002322322302130
54223033403444202
6143054443553100
712635036214162
oct2000272726234
9433782750140
10137487953052
115334340208a
122279052b790
13cc71305398
146923b63232
15389a41641c
hex2002ebac9c

137487953052 has 72 divisors (see below), whose sum is σ = 350524792800. Its totient is φ = 45437010048.

The previous prime is 137487953023. The next prime is 137487953089. The reversal of 137487953052 is 250359784731.

137487953052 is a `hidden beast` number, since 1 + 37 + 4 + 8 + 79 + 530 + 5 + 2 = 666.

It is a super-2 number, since 2×1374879530522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137487953052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2309274 + ... + 2368062.

It is an arithmetic number, because the mean of its divisors is an integer number (4868399900).

Almost surely, 2137487953052 is an apocalyptic number.

137487953052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137487953052 is an abundant number, since it is smaller than the sum of its proper divisors (213036839748).

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

137487953052 is a wasteful number, since it uses less digits than its factorization.

137487953052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59355 (or 59350 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 137487953052 in words is "one hundred thirty-seven billion, four hundred eighty-seven million, nine hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 389 501 668 778 1002 1167 1503 1556 2004 2334 3006 3501 4668 6012 7002 14004 58789 64963 117578 129926 176367 194889 235156 259852 352734 389778 529101 584667 705468 779556 1058202 1169334 2116404 2338668 9817763 19635526 22868921 29453289 39271052 45737842 58906578 68606763 88359867 91475684 117813156 137213526 176719734 205820289 274427052 353439468 411640578 823281156 3819109807 7638219614 11457329421 15276439228 22914658842 34371988263 45829317684 68743976526 137487953052