Search a number
-
+
137011985028 = 2234715956007
BaseRepresentation
bin111111110011010001…
…1001111101010000100
3111002122121012222210000
41333212203033222010
54221100032010103
6142535322201300
712620166441252
oct1774643175204
9432577188700
10137011985028
115311976a286
1222679053230
13cbc68159b9
1468ba8655d2
15386d748aa3
hex1fe68cfa84

137011985028 has 60 divisors (see below), whose sum is σ = 363221191872. Its totient is φ = 45027405360.

The previous prime is 137011984997. The next prime is 137011985081. The reversal of 137011985028 is 820589110731.

137011985028 is a `hidden beast` number, since 137 + 0 + 1 + 1 + 9 + 8 + 502 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2955000 + ... + 3001007.

Almost surely, 2137011985028 is an apocalyptic number.

137011985028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137011985028 is an abundant number, since it is smaller than the sum of its proper divisors (226209206844).

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

137011985028 is a wasteful number, since it uses less digits than its factorization.

137011985028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956094 (or 5956083 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 137011985028 in words is "one hundred thirty-seven billion, eleven million, nine hundred eighty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2556 3834 5751 7668 11502 23004 5956007 11912014 17868021 23824028 35736042 53604063 71472084 107208126 160812189 214416252 321624378 422876497 482436567 643248756 845752994 964873134 1268629491 1691505988 1929746268 2537258982 3805888473 5074517964 7611776946 11417665419 15223553892 22835330838 34252996257 45670661676 68505992514 137011985028