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95240728902 = 23112433302969
BaseRepresentation
bin101100010110011001…
…0100011000101000110
3100002211111020022122210
41120230302203011012
53030023111311102
6111430351204250
76611103560364
oct1305462430506
9302744208583
1095240728902
11374339aa300
121655bb16686
138c9a7c86b7
144876d44634
1527264d536c
hex162cca3146

95240728902 has 48 divisors (see below), whose sum is σ = 209856412080. Its totient is φ = 28794078720.

The previous prime is 95240728901. The next prime is 95240728903. The reversal of 95240728902 is 20982704259.

95240728902 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (95240728901) and next prime (95240728903).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95240728901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162874 + ... + 465842.

It is an arithmetic number, because the mean of its divisors is an integer number (4372008585).

Almost surely, 295240728902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95240728902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104928206040).

95240728902 is an abundant number, since it is smaller than the sum of its proper divisors (114615683178).

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

95240728902 is a wasteful number, since it uses less digits than its factorization.

95240728902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303429 (or 303418 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 95240728902 in words is "ninety-five billion, two hundred forty million, seven hundred twenty-eight thousand, nine hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 433 726 866 1299 2598 4763 9526 14289 28578 52393 104786 157179 302969 314358 605938 908907 1817814 3332659 6665318 9997977 19995954 36659249 73318498 109977747 131185577 219955494 262371154 393556731 787113462 1443041347 2886082694 4329124041 8658248082 15873454817 31746909634 47620364451 95240728902