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2025507066140 = 2251937263547763
BaseRepresentation
bin11101011110011001101…
…000010001000100011100
321011122012001220001202102
4131132121220101010130
5231141214302104030
64150301033544232
7266223644663255
oct35363150210434
97148161801672
102025507066140
11711015a30138
12288682275078
13119009b5800c
147006c30bb2c
1537a4c461c45
hex1d799a1111c

2025507066140 has 96 divisors (see below), whose sum is σ = 4615941496320. Its totient is φ = 743974730496.

The previous prime is 2025507066139. The next prime is 2025507066161. The reversal of 2025507066140 is 416607055202.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2025507066094 and 2025507066103.

It is a congruent number.

It is an unprimeable number.

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, 3423899 + ... + 3971661.

It is an arithmetic number, because the mean of its divisors is an integer number (48082723920).

Almost surely, 22025507066140 is an apocalyptic number.

2025507066140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025507066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307970748160).

2025507066140 is an abundant number, since it is smaller than the sum of its proper divisors (2590434430180).

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

2025507066140 is a wasteful number, since it uses less digits than its factorization.

2025507066140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548091 (or 548089 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 2025507066140 in words is "two trillion, twenty-five billion, five hundred seven million, sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 263 370 380 526 703 740 1052 1315 1406 2630 2812 3515 4997 5260 7030 9731 9994 14060 19462 19988 24985 38924 48655 49970 97310 99940 184889 194620 369778 547763 739556 924445 1095526 1848890 2191052 2738815 3697780 5477630 10407497 10955260 20267231 20814994 40534462 41629988 52037485 81068924 101336155 104074970 144061669 202672310 208149940 288123338 385077389 405344620 576246676 720308345 770154778 1440616690 1540309556 1925386945 2737171711 2881233380 3850773890 5330281753 5474343422 7701547780 10660563506 10948686844 13685858555 21321127012 26651408765 27371717110 53302817530 54743434220 101275353307 106605635060 202550706614 405101413228 506376766535 1012753533070 2025507066140