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10094419764 = 2232111331431471
BaseRepresentation
bin10010110011010110…
…01001111100110100
3222001111102122200200
421121223021330310
5131133132413024
64345354240500
7505102103142
oct113153117464
928044378620
1010094419764
114310044a80
121b58726130
13c4b429060
146ba900592
153e130e2c9
hex259ac9f34

10094419764 has 288 divisors, whose sum is σ = 31685541888. Its totient is φ = 2667168000.

The previous prime is 10094419747. The next prime is 10094419793. The reversal of 10094419764 is 46791449001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6861549 + ... + 6863019.

Almost surely, 210094419764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094419764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842770944).

10094419764 is an abundant number, since it is smaller than the sum of its proper divisors (21591122124).

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

10094419764 is a wasteful number, since it uses less digits than its factorization.

10094419764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10094419764 in words is "ten billion, ninety-four million, four hundred nineteen thousand, seven hundred sixty-four".