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78729372928 = 281741441229
BaseRepresentation
bin100100101010010100…
…0101110010100000000
321112012210012112100001
41021110220232110000
52242214204413203
6100100123405344
75454662425333
oct1112450562400
9245183175301
1078729372928
1130430751168
1213312383854
137568b1258b
143b4c10261a
1520abb8191d
hex1254a2e500

78729372928 has 72 divisors (see below), whose sum is σ = 170454208680. Its totient is φ = 36145397760.

The previous prime is 78729372919. The next prime is 78729372929. The reversal of 78729372928 is 82927392787.

It can be written as a sum of positive squares in 4 ways, for example, as 311451904 + 78417921024 = 17648^2 + 280032^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 78729372928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78729372929) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42183 + ... + 399046.

It is an arithmetic number, because the mean of its divisors is an integer number (2367419565).

Almost surely, 278729372928 is an apocalyptic number.

It is an amenable number.

78729372928 is an abundant number, since it is smaller than the sum of its proper divisors (91724835752).

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

78729372928 is a wasteful number, since it uses less digits than its factorization.

78729372928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441303 (or 441289 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 64.

The spelling of 78729372928 in words is "seventy-eight billion, seven hundred twenty-nine million, three hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 328 544 656 697 1088 1312 1394 2176 2624 2788 4352 5248 5576 10496 11152 22304 44608 89216 178432 441229 882458 1764916 3529832 7059664 7500893 14119328 15001786 18090389 28238656 30003572 36180778 56477312 60007144 72361556 112954624 120014288 144723112 240028576 289446224 307536613 480057152 578892448 615073226 960114304 1157784896 1230146452 1920228608 2315569792 2460292904 4631139584 4920585808 9841171616 19682343232 39364686464 78729372928