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9926878983025 = 5217210123672
BaseRepresentation
bin1001000001110100100000…
…0110000111001101110001
31022011000000021010201112111
42100131020012013031301
52300120222004424100
633040202323525321
72043123213063634
oct220351006071561
938130007121474
109926878983025
113187a69435784
121143a8b829841
13570140237884
1426466bc0bc1b
1512334a8366ba
hex90748187371

9926878983025 has 81 divisors (see below), whose sum is σ = 13242831943107. Its totient is φ = 7380187968000.

The previous prime is 9926878983011. The next prime is 9926878983031. The reversal of 9926878983025 is 5203898786299.

The square root of 9926878983025 is 3150695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 20802581361 + 9906076401664 = 144231^2 + 3147392^2 .

It is not a de Polignac number, because 9926878983025 - 29 = 9926878982513 is a prime.

It is a super-3 number, since 3×99268789830253 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

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, 27048716392 + ... + 27048716758.

Almost surely, 29926878983025 is an apocalyptic number.

9926878983025 is the 3150695-th square number.

9926878983025 is the 1575348-th centered octagonal number.

It is an amenable number.

9926878983025 is a deficient number, since it is larger than the sum of its proper divisors (3315952960082).

9926878983025 is an equidigital number, since it uses as much as digits as its factorization.

9926878983025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 76.

The spelling of 9926878983025 in words is "nine trillion, nine hundred twenty-six billion, eight hundred seventy-eight million, nine hundred eighty-three thousand, twenty-five".

Divisors: 1 5 17 25 85 101 289 367 425 505 1445 1717 1835 2525 6239 7225 8585 9175 10201 29189 31195 37067 42925 51005 106063 134689 145945 155975 173417 185335 255025 530315 630139 673445 729725 867085 926675 2289713 2651575 2948089 3150695 3367225 3743767 4335425 10712363 11448565 13603589 14740445 15753475 18718835 38925121 53561815 57242825 63644039 68017945 73702225 93594175 194625605 231261013 267809075 318220195 340089725 973128025 1081948663 1156305065 1373962489 1591100975 3931437221 5409743315 5781525325 6869812445 19657186105 23357362313 27048716575 34349062225 98285930525 116786811565 397075159321 583934057825 1985375796605 9926878983025