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126949986109440 = 211325132312411091
BaseRepresentation
bin11100110111010111011000…
…110100111000100000000000
3121122111022002210210010102200
4130313113120310320200000
5113114422032421000230
61130000003555113200
735511556000326354
oct3467273064704000
9548438083703380
10126949986109440
11374a52066412aa
12122a39115a2800
1355ab442160c00
14234c5aab9b464
15ea23d9169160
hex7375d8d38800

126949986109440 has 1728 divisors, whose sum is σ = 494296552189440. Its totient is φ = 30088101888000.

The previous prime is 126949986109411. The next prime is 126949986109459. The reversal of 126949986109440 is 44901689949621.

126949986109440 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 4 + 99 + 86 + 10 + 9 + 440 = 666.

126949986109440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1269499861094402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 116361123295 + ... + 116361124385.

It is an arithmetic number, because the mean of its divisors is an integer number (286051245480).

Almost surely, 2126949986109440 is an apocalyptic number.

126949986109440 is a gapful number since it is divisible by the number (10) 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 126949986109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247148276094720).

126949986109440 is an abundant number, since it is smaller than the sum of its proper divisors (367346566080000).

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

126949986109440 is a wasteful number, since it uses less digits than its factorization.

126949986109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 126949986109440 in words is "one hundred twenty-six trillion, nine hundred forty-nine billion, nine hundred eighty-six million, one hundred nine thousand, four hundred forty".