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129980049408 = 21134111923163
BaseRepresentation
bin111100100001101101…
…0100010100000000000
3110102111112101122120000
41321003122202200000
54112144343040113
6135413443320000
712251012122236
oct1710332424000
9412445348500
10129980049408
1150140392a40
1221236080000
13c345a0aa51
146410994956
1535ab222373
hex1e436a2800

129980049408 has 960 divisors, whose sum is σ = 468064396800. Its totient is φ = 35473489920.

The previous prime is 129980049371. The next prime is 129980049413. The reversal of 129980049408 is 804940089921.

It is a super-2 number, since 2×1299800494082 (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 797423535 + ... + 797423697.

It is an arithmetic number, because the mean of its divisors is an integer number (487567080).

Almost surely, 2129980049408 is an apocalyptic number.

129980049408 is a gapful number since it is divisible by the number (18) 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 129980049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234032198400).

129980049408 is an abundant number, since it is smaller than the sum of its proper divisors (338084347392).

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

129980049408 is a wasteful number, since it uses less digits than its factorization.

129980049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 129980049408 in words is "one hundred twenty-nine billion, nine hundred eighty million, forty-nine thousand, four hundred eight".