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92478322399225 = 5272192144612
BaseRepresentation
bin10101000001101111001001…
…100011100101011111111001
3110010102211201021220121210011
4111001233021203211133321
544110131101013233400
6524403542123421521
725323224016344200
oct2501571143453771
9403384637817704
1092478322399225
11275149220a90a4
12a456b030848a1
133c7a88c58bb59
1418b9d9077a237
15aa58902e48ba
hex541bc98e57f9

92478322399225 has 81 divisors (see below), whose sum is σ = 140795317200141. Its totient is φ = 60071988916800.

The previous prime is 92478322399223. The next prime is 92478322399271. The reversal of 92478322399225 is 52299322387429.

The square root of 92478322399225 is 9616565.

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 38688536840121 + 53789785559104 = 6220011^2 + 7334152^2 .

It is not a de Polignac number, because 92478322399225 - 21 = 92478322399223 is a prime.

It is a super-2 number, since 2×924783223992252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92478322399223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6395008495 + ... + 6395022955.

Almost surely, 292478322399225 is an apocalyptic number.

92478322399225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

92478322399225 is the 9616565-th square number.

92478322399225 is the 4808283-rd centered octagonal number.

It is an amenable number.

92478322399225 is a deficient number, since it is larger than the sum of its proper divisors (48316994800916).

92478322399225 is an frugal number, since it uses more digits than its factorization.

92478322399225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28984 (or 14492 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 67.

The spelling of 92478322399225 in words is "ninety-two trillion, four hundred seventy-eight billion, three hundred twenty-two million, three hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1225 1805 2527 3325 4655 9025 12635 14461 17689 23275 63175 72305 88445 101227 274759 361525 442225 506135 708589 1373795 1923313 2530675 3542945 5220421 6868975 9616565 13463191 17714725 26102105 36542947 48082825 67315955 130510525 182714735 209120521 255800629 336579775 913573675 1045602605 1279003145 1463843647 3973289899 5228013025 6395015725 7319218235 10246905529 19866449495 27813029293 36596091175 51234527645 75492508081 99332247475 139065146465 194691205051 256172638225 377462540405 528447556567 695325732325 973456025255 1887312702025 2642237782835 3699132895969 4867280126275 13211188914175 18495664479845 92478322399225