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25461364469940 = 223257231611526587
BaseRepresentation
bin1011100101000001011111…
…00101011011000010110100
310100011002020021020001200200
411302200233211123002310
511314124333301014230
6130052442300240500
75235344230045200
oct562405745330264
9110132207201620
1025461364469940
118127116515463
122a326bb540130
131128cc5031b79
1464049d95db00
152e24963cb160
hex17282f95b0b4

25461364469940 has 432 divisors, whose sum is σ = 94260775924224. Its totient is φ = 5539675276800.

The previous prime is 25461364469939. The next prime is 25461364469963. The reversal of 25461364469940 is 4996446316452.

25461364469940 is a `hidden beast` number, since 2 + 5 + 4 + 61 + 3 + 6 + 446 + 99 + 40 = 666.

It is a super-2 number, since 2×254613644699402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15915327 + ... + 17441913.

Almost surely, 225461364469940 is an apocalyptic number.

25461364469940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25461364469940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47130387962112).

25461364469940 is an abundant number, since it is smaller than the sum of its proper divisors (68799411454284).

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

25461364469940 is a wasteful number, since it uses less digits than its factorization.

25461364469940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526708 (or 1526696 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 25461364469940 in words is "twenty-five trillion, four hundred sixty-one billion, three hundred sixty-four million, four hundred sixty-nine thousand, nine hundred forty".