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10126125440 = 27515822071
BaseRepresentation
bin10010110111001000…
…00110100110000000
3222010201002110200222
421123210012212000
5131214242003230
64352450002212
7505635434414
oct113344064600
928121073628
1010126125440
114326a2aa12
121b67276368
13c54b7a502
146c0bd4d44
153e3ec36e5
hex25b906980

10126125440 has 32 divisors (see below), whose sum is σ = 24207770160. Its totient is φ = 4050449920.

The previous prime is 10126125439. The next prime is 10126125461. The reversal of 10126125440 is 4452162101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7910396 + ... + 7911675.

Almost surely, 210126125440 is an apocalyptic number.

10126125440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10126125440 is an abundant number, since it is smaller than the sum of its proper divisors (14081644720).

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

10126125440 is an equidigital number, since it uses as much as digits as its factorization.

10126125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15822090 (or 15822078 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10126125440 its reverse (4452162101), we get a palindrome (14578287541).

The spelling of 10126125440 in words is "ten billion, one hundred twenty-six million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 15822071 31644142 63288284 79110355 126576568 158220710 253153136 316441420 506306272 632882840 1012612544 1265765680 2025225088 2531531360 5063062720 10126125440