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10216465742 = 271597456949
BaseRepresentation
bin10011000001111001…
…01110010101001110
3222101000002020022002
421200330232111032
5131410403400432
64405434152302
7511113345260
oct114074562516
928330066262
1010216465742
114372a23a1a
121b91582692
13c6a7bb302
146ccbcdb30
153ebdbae62
hex260f2e54e

10216465742 has 16 divisors (see below), whose sum is σ = 17524946400. Its totient is φ = 4375734048.

The previous prime is 10216465723. The next prime is 10216465747. The reversal of 10216465742 is 24756461201.

It is a happy number.

10216465742 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 2×102164657422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10216465696 and 10216465705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216465747) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 206117 + ... + 250832.

It is an arithmetic number, because the mean of its divisors is an integer number (1095309150).

Almost surely, 210216465742 is an apocalyptic number.

10216465742 is a deficient number, since it is larger than the sum of its proper divisors (7308480658).

10216465742 is a wasteful number, since it uses less digits than its factorization.

10216465742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458555.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 10216465742 in words is "ten billion, two hundred sixteen million, four hundred sixty-five thousand, seven hundred forty-two".

Divisors: 1 2 7 14 1597 3194 11179 22358 456949 913898 3198643 6397286 729747553 1459495106 5108232871 10216465742