Search a number
-
+
2011451514025 = 5241101170911369
BaseRepresentation
bin11101010001010011110…
…110100101110010101001
321010021220111220001000011
4131101103312211302221
5230423423041422100
64140014214411521
7265215433524232
oct35212366456251
97107814801004
102011451514025
11706062a39868
122859bb060ba1
131178a9b98885
146d4d76d4089
15374c8508bba
hex1d453da5ca9

2011451514025 has 48 divisors (see below), whose sum is σ = 2582068330800. Its totient is φ = 1553323520000.

The previous prime is 2011451514013. The next prime is 2011451514043. The reversal of 2011451514025 is 5204151541102.

It can be written as a sum of positive squares in 24 ways, for example, as 1507289032089 + 504162481936 = 1227717^2 + 710044^2 .

It is a de Polignac number, because none of the positive numbers 2k-2011451514025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176918541 + ... + 176929909.

It is an arithmetic number, because the mean of its divisors is an integer number (53793090225).

Almost surely, 22011451514025 is an apocalyptic number.

2011451514025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2011451514025 is a deficient number, since it is larger than the sum of its proper divisors (570616816775).

2011451514025 is a wasteful number, since it uses less digits than its factorization.

2011451514025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13230 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The spelling of 2011451514025 in words is "two trillion, eleven billion, four hundred fifty-one million, five hundred fourteen thousand, twenty-five".

Divisors: 1 5 25 41 101 205 505 1025 1709 2525 4141 8545 11369 20705 42725 56845 70069 103525 172609 284225 350345 466129 863045 1148269 1751725 2330645 4315225 5741345 7076969 11653225 19429621 28706725 35384845 47079029 97148105 176924225 235395145 485740525 796614461 1176975725 1962391721 3983072305 9811958605 19915361525 49059793025 80458060561 402290302805 2011451514025