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126752417540 = 22575915345329
BaseRepresentation
bin111011000001100001…
…0000110011100000100
3110010011121000221222222
41312003002012130010
54034042104330130
6134121304111512
712105020525630
oct1660302063404
9403147027888
10126752417540
1149834487391
1220695165598
13bc501160c8
1461c6055dc0
15346cbb6ce5
hex1d83086704

126752417540 has 48 divisors (see below), whose sum is σ = 309361852800. Its totient is φ = 42721393152.

The previous prime is 126752417501. The next prime is 126752417557. The reversal of 126752417540 is 45714257621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126752417491 and 126752417500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7664405 + ... + 7680924.

It is an arithmetic number, because the mean of its divisors is an integer number (6445038600).

Almost surely, 2126752417540 is an apocalyptic number.

126752417540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126752417540 is an abundant number, since it is smaller than the sum of its proper divisors (182609435260).

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

126752417540 is a wasteful number, since it uses less digits than its factorization.

126752417540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345404 (or 15345402 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 126752417540 in words is "one hundred twenty-six billion, seven hundred fifty-two million, four hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 15345329 30690658 61381316 76726645 107417303 153453290 214834606 306906580 429669212 537086515 905374411 1074173030 1810748822 2148346060 3621497644 4526872055 6337620877 9053744110 12675241754 18107488220 25350483508 31688104385 63376208770 126752417540