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126433195680 = 253511194159521
BaseRepresentation
bin111010111000000000…
…0010111011010100000
3110002100100100210221010
41311300000113122200
54032413344230210
6134025502100520
712064063300641
oct1656000273240
9402310323833
10126433195680
1149690274270
122060627a740
13bbcbc4812c
1461958bb6c8
15344eb5c920
hex1d700176a0

126433195680 has 768 divisors, whose sum is σ = 477346867200. Its totient is φ = 27795456000.

The previous prime is 126433195591. The next prime is 126433195687. The reversal of 126433195680 is 86591334621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (126433195687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242673820 + ... + 242674340.

It is an arithmetic number, because the mean of its divisors is an integer number (621545400).

Almost surely, 2126433195680 is an apocalyptic number.

126433195680 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 126433195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238673433600).

126433195680 is an abundant number, since it is smaller than the sum of its proper divisors (350913671520).

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

126433195680 is a wasteful number, since it uses less digits than its factorization.

126433195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 126433195680 in words is "one hundred twenty-six billion, four hundred thirty-three million, one hundred ninety-five thousand, six hundred eighty".