Search a number
-
+
137850759333 = 3374999145903
BaseRepresentation
bin1000000001100010001…
…0111010100010100101
3111011211001112010211000
42000120202322202211
54224304243244313
6143154444103513
712650033056350
oct2003042724245
9434731463730
10137850759333
115350a183891
1222871b34b99
13cccb523561
14695a005297
1538bc1ce673
hex20188ba8a5

137850759333 has 32 divisors (see below), whose sum is σ = 233446400000. Its totient is φ = 78755565168.

The previous prime is 137850759329. The next prime is 137850759377. The reversal of 137850759333 is 333957058731.

137850759333 is a `hidden beast` number, since 13 + 7 + 8 + 5 + 0 + 7 + 593 + 33 = 666.

It is not a de Polignac number, because 137850759333 - 22 = 137850759329 is a prime.

It is a super-4 number, since 4×1378507593334 (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137850759333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137850759133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871860 + ... + 1017762.

It is an arithmetic number, because the mean of its divisors is an integer number (7295200000).

Almost surely, 2137850759333 is an apocalyptic number.

It is an amenable number.

137850759333 is a deficient number, since it is larger than the sum of its proper divisors (95595640667).

137850759333 is a wasteful number, since it uses less digits than its factorization.

137850759333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150918 (or 150912 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 137850759333 in words is "one hundred thirty-seven billion, eight hundred fifty million, seven hundred fifty-nine thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 4999 14997 34993 44991 104979 134973 145903 314937 437709 944811 1021321 1313127 3063963 3939381 9191889 27575667 729369097 2188107291 5105583679 6564321873 15316751037 19692965619 45950253111 137850759333