Search a number
-
+
2153347296672 = 2531113592658611
BaseRepresentation
bin11111010101011101100…
…000000010110110100000
321121212011110211122122110
4133111131200002312200
5240240023401443142
64325122321435320
7311400645006525
oct37253540026640
97555143748573
102153347296672
11760258458520
122a93bb79bb40
131280a1445940
1476318a0d14c
153b0308a399c
hex1f55d802da0

2153347296672 has 192 divisors, whose sum is σ = 6753299857920. Its totient is φ = 592125619200.

The previous prime is 2153347296649. The next prime is 2153347296679. The reversal of 2153347296672 is 2766927433512.

It is a super-2 number, since 2×21533472966722 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2153347296679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519354 + ... + 2139257.

It is an arithmetic number, because the mean of its divisors is an integer number (35173436760).

Almost surely, 22153347296672 is an apocalyptic number.

2153347296672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2153347296672 is an abundant number, since it is smaller than the sum of its proper divisors (4599952561248).

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

2153347296672 is a wasteful number, since it uses less digits than its factorization.

2153347296672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658707 (or 2658699 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 57.

The spelling of 2153347296672 in words is "two trillion, one hundred fifty-three billion, three hundred forty-seven million, two hundred ninety-six thousand, six hundred seventy-two".