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27750096122896 = 24721881372
BaseRepresentation
bin1100100111101000100101…
…00111110011010000010000
310122020212211220121121020001
412103310102213303100100
512114124144101413041
6135004115042455344
75562610152105100
oct623642247632020
9118225756547201
1027750096122896
1189298278aa634
1231421a3064554
131263a90a02b64
146bd17cb8b200
15331c9c66d131
hex193d129f3410

27750096122896 has 45 divisors (see below), whose sum is σ = 62544235308669. Its totient is φ = 11892835124352.

The previous prime is 27750096122893. The next prime is 27750096122899. The reversal of 27750096122896 is 69822169005772.

The square root of 27750096122896 is 5267836.

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

It is an interprime number because it is at equal distance from previous prime (27750096122893) and next prime (27750096122899).

It can be written as a sum of positive squares in only one way, i.e., 25386079171600 + 2364016951296 = 5038460^2 + 1537536^2 .

It is a super-2 number, since 2×277500961228962 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27750096122893) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147405340 + ... + 147593476.

Almost surely, 227750096122896 is an apocalyptic number.

27750096122896 is the 5267836-th square number.

It is an amenable number.

27750096122896 is an abundant number, since it is smaller than the sum of its proper divisors (34794139185773).

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

27750096122896 is an frugal number, since it uses more digits than its factorization.

27750096122896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376296 (or 188146 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 27750096122896 in words is "twenty-seven trillion, seven hundred fifty billion, ninety-six million, one hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 188137 376274 752548 1316959 1505096 2633918 3010192 5267836 9218713 10535672 18437426 21071344 36874852 73749704 147499408 35395530769 70791061538 141582123076 247768715383 283164246152 495537430766 566328492304 991074861532 1734381007681 1982149723064 3468762015362 3964299446128 6937524030724 13875048061448 27750096122896