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2168977835025 = 325247220892
BaseRepresentation
bin11111100100000001001…
…001110100010000010001
321200100111210110021100100
4133210001021310100101
5241014031311210100
64340225322243013
7312463202255301
oct37440111642021
97610453407310
102168977835025
11766949496311
122b0442356469
131296c27c05c1
1476d9c889601
153b647c19400
hex1f901274411

2168977835025 has 81 divisors (see below), whose sum is σ = 3971196991281. Its totient is φ = 1131633694080.

The previous prime is 2168977834993. The next prime is 2168977835081. The reversal of 2168977835025 is 5205387798612.

The square root of 2168977835025 is 1472745.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 179287036929 + 1989690798096 = 423423^2 + 1410564^2 .

It is not a de Polignac number, because 2168977835025 - 25 = 2168977834993 is a prime.

It is a super-2 number, since 2×21689778350252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1038284181 + ... + 1038286269.

Almost surely, 22168977835025 is an apocalyptic number.

2168977835025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2168977835025 is the 1472745-th square number.

2168977835025 is the 736373-rd centered octagonal number.

It is an amenable number.

2168977835025 is a deficient number, since it is larger than the sum of its proper divisors (1802219156256).

2168977835025 is an frugal number, since it uses more digits than its factorization.

2168977835025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 2168977835025 in words is "two trillion, one hundred sixty-eight billion, nine hundred seventy-seven million, eight hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 2089 2115 2209 3525 6267 6627 10445 10575 11045 18801 19881 31335 33135 52225 55225 94005 98183 99405 156675 165675 294549 470025 490915 497025 883647 1472745 2454575 4363921 4418235 4614601 7363725 13091763 13843803 21819605 22091175 23073005 39275289 41531409 65458815 69219015 109098025 115365025 196376445 205104287 207657045 327294075 346095075 615312861 981882225 1025521435 1038285225 1845938583 3076564305 5127607175 9229692915 9639901489 15382821525 28919704467 46148464575 48199507445 86759113401 144598522335 240997537225 433795567005 722992611675 2168977835025