Search a number
-
+
129232998720 = 2635571371733
BaseRepresentation
bin111100001011011100…
…0110001000101000000
3110100120110200112200000
41320112320301011000
54104132121424340
6135211355400000
712223341236010
oct1702670610500
9410513615600
10129232998720
114a897727781
1221067a53000
13c257006817
14637d68dc40
153565858d30
hex1e16e31140

129232998720 has 672 divisors, whose sum is σ = 530975547648. Its totient is φ = 29306437632.

The previous prime is 129232998707. The next prime is 129232998733. The reversal of 129232998720 is 27899232921.

129232998720 is a `hidden beast` number, since 1 + 292 + 329 + 9 + 8 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (129232998707) and next prime (129232998733).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74570974 + ... + 74572706.

It is an arithmetic number, because the mean of its divisors is an integer number (790142184).

Almost surely, 2129232998720 is an apocalyptic number.

129232998720 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 129232998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265487773824).

129232998720 is an abundant number, since it is smaller than the sum of its proper divisors (401742548928).

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

129232998720 is a wasteful number, since it uses less digits than its factorization.

129232998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 129232998720 in words is "one hundred twenty-nine billion, two hundred thirty-two million, nine hundred ninety-eight thousand, seven hundred twenty".