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129774299824 = 24132979272333
BaseRepresentation
bin111100011011100100…
…1101010101010110000
3110101222012020111012001
41320313021222222300
54111234210043244
6135341213343344
712242633230231
oct1706711525260
9411865214161
10129774299824
1150045233264
1221199197b54
13c3121bc730
1463d1517088
15359812e5d4
hex1e3726aab0

129774299824 has 80 divisors (see below), whose sum is σ = 283663094400. Its totient is φ = 57098216448.

The previous prime is 129774299821. The next prime is 129774299891. The reversal of 129774299824 is 428992477921.

It is not an unprimeable number, because it can be changed into a prime (129774299821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340362 + ... + 612694.

It is an arithmetic number, because the mean of its divisors is an integer number (3545788680).

Almost surely, 2129774299824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129774299824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141831547200).

129774299824 is an abundant number, since it is smaller than the sum of its proper divisors (153888794576).

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

129774299824 is a wasteful number, since it uses less digits than its factorization.

129774299824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272462 (or 272456 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

The spelling of 129774299824 in words is "one hundred twenty-nine billion, seven hundred seventy-four million, two hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 79 104 116 158 208 232 316 377 464 632 754 1027 1264 1508 2054 2291 3016 4108 4582 6032 8216 9164 16432 18328 29783 36656 59566 119132 238264 272333 476528 544666 1089332 2178664 3540329 4357328 7080658 7897657 14161316 15795314 21514307 28322632 31590628 43028614 56645264 63181256 86057228 102669541 126362512 172114456 205339082 279685991 344228912 410678164 559371982 623914903 821356328 1118743964 1247829806 1642712656 2237487928 2495659612 4474975856 4991319224 8110893739 9982638448 16221787478 32443574956 64887149912 129774299824