Search a number
-
+
157959270753 = 3173119958973
BaseRepresentation
bin1001001100011100011…
…0110011000101100001
3120002201110020100202020
42103013012303011201
510042000033131003
6200322051212053
714261243435154
oct2230706630541
9502643210666
10157959270753
1160a98988069
12267442a7029
1311b84531b1b
147906895c9b
154197731d53
hex24c71b3161

157959270753 has 16 divisors (see below), whose sum is σ = 223718391936. Its totient is φ = 98793002240.

The previous prime is 157959270697. The next prime is 157959270761. The reversal of 157959270753 is 357072959751.

It is a cyclic number.

It is not a de Polignac number, because 157959270753 - 221 = 157957173601 is a prime.

It is a super-3 number, since 3×1579592707533 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (157959270773) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4963626 + ... + 4995347.

It is an arithmetic number, because the mean of its divisors is an integer number (13982399496).

Almost surely, 2157959270753 is an apocalyptic number.

It is an amenable number.

157959270753 is a deficient number, since it is larger than the sum of its proper divisors (65759121183).

157959270753 is a wasteful number, since it uses less digits than its factorization.

157959270753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959304.

The product of its (nonzero) digits is 20837250, while the sum is 60.

The spelling of 157959270753 in words is "one hundred fifty-seven billion, nine hundred fifty-nine million, two hundred seventy thousand, seven hundred fifty-three".

Divisors: 1 3 17 51 311 933 5287 15861 9958973 29876919 169302541 507907623 3097240603 9291721809 52653090251 157959270753