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129855860640 = 253351122911933
BaseRepresentation
bin111100011110000000…
…0110010111110100000
3110102011212201012121000
41320330000302332200
54111421100020030
6135353245432000
712244643413662
oct1707400627640
9412155635530
10129855860640
11500872800a0
122120056b600
13c32607837c
1463dc2a8532
1535a0390860
hex1e3c032fa0

129855860640 has 384 divisors, whose sum is σ = 498020140800. Its totient is φ = 31340113920.

The previous prime is 129855860623. The next prime is 129855860657. The reversal of 129855860640 is 46068558921.

129855860640 is a `hidden beast` number, since 1 + 29 + 8 + 5 + 5 + 8 + 606 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129855860623) and next prime (129855860657).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10876114 + ... + 10888046.

It is an arithmetic number, because the mean of its divisors is an integer number (1296927450).

Almost surely, 2129855860640 is an apocalyptic number.

129855860640 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 129855860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249010070400).

129855860640 is an abundant number, since it is smaller than the sum of its proper divisors (368164280160).

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

129855860640 is a wasteful number, since it uses less digits than its factorization.

129855860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 129855860640 in words is "one hundred twenty-nine billion, eight hundred fifty-five million, eight hundred sixty thousand, six hundred forty".