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129680403840 = 2734513337571
BaseRepresentation
bin111100011000110001…
…1011110110110000000
3110101201122120002010000
41320301203132312000
54111041140410330
6135324021040000
712240413150061
oct1706143366600
9411648502100
10129680403840
114aaa7230879
1221171856000
13c2c8905390
1463c2c74568
15358ec83560
hex1e318ded80

129680403840 has 640 divisors, whose sum is σ = 501092111520. Its totient is φ = 31770869760.

The previous prime is 129680403829. The next prime is 129680403851. The reversal of 129680403840 is 48304086921.

It is a happy number.

129680403840 is a `hidden beast` number, since 1 + 2 + 96 + 80 + 403 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129680403829) and next prime (129680403851).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227110755 + ... + 227111325.

Almost surely, 2129680403840 is an apocalyptic number.

129680403840 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 129680403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250546055760).

129680403840 is an abundant number, since it is smaller than the sum of its proper divisors (371411707680).

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

129680403840 is a wasteful number, since it uses less digits than its factorization.

129680403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 129680403840 in words is "one hundred twenty-nine billion, six hundred eighty million, four hundred three thousand, eight hundred forty".