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20403785873025 = 34521003792
BaseRepresentation
bin1001010001110101000000…
…11010001011011010000001
32200020120201220211011010000
410220322200122023122001
510133243423140414100
6111221211514430213
74204060556223402
oct450724032133201
980216656734100
1020403785873025
116557219221915
122356482732369
13b500b8081319
145077971559a9
15255b38d09900
hex128ea068b681

20403785873025 has 45 divisors (see below), whose sum is σ = 37795241122771. Its totient is φ = 10881910722960.

The previous prime is 20403785872963. The next prime is 20403785873071. The reversal of 20403785873025 is 52037858730402.

The square root of 20403785873025 is 4517055.

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

20403785873025 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 3 + 7 + 8 + 587 + 30 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7345362914289 + 13058422958736 = 2710233^2 + 3613644^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 20403785873025 - 223 = 20403777484417 is a prime.

It is a super-2 number, since 2×204037858730252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203217286 + ... + 203317664.

Almost surely, 220403785873025 is an apocalyptic number.

20403785873025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20403785873025 is the 4517055-th square number.

20403785873025 is the 2258528-th centered octagonal number.

It is an amenable number.

20403785873025 is a deficient number, since it is larger than the sum of its proper divisors (17391455249746).

20403785873025 is an frugal number, since it uses more digits than its factorization.

20403785873025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200780 (or 100387 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 20403785873025 in words is "twenty trillion, four hundred three billion, seven hundred eighty-five million, eight hundred seventy-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 100379 301137 501895 903411 1505685 2509475 2710233 4517055 7528425 8130699 13551165 22585275 40653495 67755825 203267475 10075943641 30227830923 50379718205 90683492769 151139154615 251898591025 272050478307 453417463845 755695773075 816151434921 1360252391535 2267087319225 4080757174605 6801261957675 20403785873025