Search a number
-
+
153679292241023 = 17435918791896353
BaseRepresentation
bin100010111100010100111111…
…100111111001010001111111
3202011010121010002221022120102
4202330110333213321101333
5130120340142303203043
61302503143041511315
744240651060612033
oct4274247747712177
9664117102838512
10153679292241023
1144a7002707183a
12152a00b004253b
136799b83633213
1429d41903381c3
1512b783eca86b8
hex8bc53f9f947f

153679292241023 has 32 divisors (see below), whose sum is σ = 169415715110400. Its totient is φ = 138807140806656.

The previous prime is 153679292241017. The next prime is 153679292241047. The reversal of 153679292241023 is 320142292976351.

It is a cyclic number.

It is not a de Polignac number, because 153679292241023 - 210 = 153679292239999 is a prime.

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 153679292241023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153679292241053) 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, 80091215 + ... + 81987567.

It is an arithmetic number, because the mean of its divisors is an integer number (5294241097200).

Almost surely, 2153679292241023 is an apocalyptic number.

153679292241023 is a deficient number, since it is larger than the sum of its proper divisors (15736422869377).

153679292241023 is a wasteful number, since it uses less digits than its factorization.

153679292241023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898351.

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 153679292241023 in words is "one hundred fifty-three trillion, six hundred seventy-nine billion, two hundred ninety-two million, two hundred forty-one thousand, twenty-three".

Divisors: 1 17 43 59 731 1003 1879 2537 31943 43129 80797 110861 1373549 1884637 1896353 4767023 32238001 81039391 81543179 111884827 1386234043 1902042059 3563247287 4811047561 60575203879 81787808537 153219633341 210231589933 2604733766797 3573937028861 9039958367119 153679292241023