Search a number
-
+
10290746958492 = 223711132337248067
BaseRepresentation
bin1001010111000000000001…
…0100010010001010011100
31100102210012211221001212110
42111300000110102022130
52322100422210132432
633515300501234020
72111324205615360
oct225600024221234
940383184831773
1010290746958492
113308310419280
1211a24ba402910
1359854ac6ac30
142781093cb2a0
1512ca450dedcc
hex95c0051229c

10290746958492 has 192 divisors, whose sum is σ = 33641263079424. Its totient is φ = 2360037461760.

The previous prime is 10290746958467. The next prime is 10290746958631. The reversal of 10290746958492 is 29485964709201.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18347758 + ... + 18900309.

It is an arithmetic number, because the mean of its divisors is an integer number (175214911872).

Almost surely, 210290746958492 is an apocalyptic number.

10290746958492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10290746958492 is an abundant number, since it is smaller than the sum of its proper divisors (23350516120932).

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

10290746958492 is a wasteful number, since it uses less digits than its factorization.

10290746958492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37248128 (or 37248126 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 10290746958492 in words is "ten trillion, two hundred ninety billion, seven hundred forty-six million, nine hundred fifty-eight thousand, four hundred ninety-two".