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10414990092 = 22313173107127
BaseRepresentation
bin10011011001100100…
…00010001100001100
3222212211122022111210
421230302002030030
5132312214140332
64441245214420
7516043645413
oct115462021414
928784568453
1010414990092
114464a99231
122027b61410
13c9c979a40
1470b30a47a
1540e532ecc
hex26cc8230c

10414990092 has 192 divisors, whose sum is σ = 28287221760. Its totient is φ = 2964390912.

The previous prime is 10414990073. The next prime is 10414990099. The reversal of 10414990092 is 29009941401.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10414990092.

It is not an unprimeable number, because it can be changed into a prime (10414990099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82007733 + ... + 82007859.

It is an arithmetic number, because the mean of its divisors is an integer number (147329280).

Almost surely, 210414990092 is an apocalyptic number.

10414990092 is a gapful number since it is divisible by the number (12) 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 10414990092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143610880).

10414990092 is an abundant number, since it is smaller than the sum of its proper divisors (17872231668).

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

10414990092 is a wasteful number, since it uses less digits than its factorization.

10414990092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 10414990092 in words is "ten billion, four hundred fourteen million, nine hundred ninety thousand, ninety-two".