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10716720096 = 2532361251317
BaseRepresentation
bin10011111101100010…
…00010101111100000
31000122212101210021010
421332301002233200
5133421440020341
64531224300520
7526366421625
oct117661025740
930585353233
1010716720096
1145aa344475
1220b1011740
13101a3320c4
1473941034c
1542ac84716
hex27ec42be0

10716720096 has 192 divisors, whose sum is σ = 30049076736. Its totient is φ = 3336960000.

The previous prime is 10716720037. The next prime is 10716720109. The reversal of 10716720096 is 69002761701.

10716720096 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 2×107167200962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 33806530 + ... + 33806846.

It is an arithmetic number, because the mean of its divisors is an integer number (156505608).

Almost surely, 210716720096 is an apocalyptic number.

10716720096 is a gapful number since it is divisible by the number (16) 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 10716720096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024538368).

10716720096 is an abundant number, since it is smaller than the sum of its proper divisors (19332356640).

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

10716720096 is a wasteful number, since it uses less digits than its factorization.

10716720096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 10716720096 in words is "ten billion, seven hundred sixteen million, seven hundred twenty thousand, ninety-six".