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729390882216 = 233318039121951
BaseRepresentation
bin10101001110100110001…
…01011001110110101000
32120201200111121220121010
422213103011121312220
543422243031212331
61315024425543520
7103460662126533
oct12472305316650
92521614556533
10729390882216
112613731574a7
12b943b644ba0
1353a205932c9
14274348b1a1a
1513e8e4b1e46
hexa9d3159da8

729390882216 has 64 divisors (see below), whose sum is σ = 1882548633600. Its totient is φ = 235256184000.

The previous prime is 729390882193. The next prime is 729390882229. The reversal of 729390882216 is 612288093927.

It is a happy number.

729390882216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7293908822162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5920041 + ... + 6041991.

It is an arithmetic number, because the mean of its divisors is an integer number (29414822400).

Almost surely, 2729390882216 is an apocalyptic number.

It is an amenable number.

729390882216 is an abundant number, since it is smaller than the sum of its proper divisors (1153157751384).

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

729390882216 is a wasteful number, since it uses less digits than its factorization.

729390882216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130030 (or 130026 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 729390882216 in words is "seven hundred twenty-nine billion, three hundred ninety million, eight hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 8039 16078 24117 32156 48234 64312 96468 121951 192936 243902 249209 365853 487804 498418 731706 747627 975608 996836 1463412 1495254 1993672 2926824 2990508 3780481 5981016 7560962 11341443 15121924 22682886 30243848 45365772 90731544 980364089 1960728178 2941092267 3921456356 5882184534 7842912712 11764369068 23528738136 30391286759 60782573518 91173860277 121565147036 182347720554 243130294072 364695441108 729390882216