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126191949840 = 243351117929671
BaseRepresentation
bin111010110000110100…
…0000101100000010000
3110001201112102020212000
41311201220011200100
54031420114343330
6133545523234000
712055103606205
oct1654150054020
9401645366760
10126191949840
114957707a740
1220559518900
13bb90c7c208
14617183dcac
1534388a7560
hex1d61a05810

126191949840 has 320 divisors, whose sum is σ = 476840908800. Its totient is φ = 30420057600.

The previous prime is 126191949823. The next prime is 126191949857. The reversal of 126191949840 is 48949191621.

126191949840 is a `hidden beast` number, since 1 + 2 + 61 + 91 + 9 + 498 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126191949823) and next prime (126191949857).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 4238205 + ... + 4267875.

It is an arithmetic number, because the mean of its divisors is an integer number (1490127840).

Almost surely, 2126191949840 is an apocalyptic number.

126191949840 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 126191949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238420454400).

126191949840 is an abundant number, since it is smaller than the sum of its proper divisors (350648958960).

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

126191949840 is a wasteful number, since it uses less digits than its factorization.

126191949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29883 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 126191949840 in words is "one hundred twenty-six billion, one hundred ninety-one million, nine hundred forty-nine thousand, eight hundred forty".