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10190297256048 = 243271310314950671
BaseRepresentation
bin1001010001001001110100…
…0011000101000001110000
31100002011221100002110211200
42110102131003011001300
52313424212044143143
633401205151411200
72101140031340130
oct224223503050160
940064840073750
1010190297256048
113279754160068
121186b45b23b00
1358bc30237090
142732da748ac0
1512a1166751d3
hex9449d0c5070

10190297256048 has 480 divisors, whose sum is σ = 35679249715200. Its totient is φ = 2643543889920.

The previous prime is 10190297256023. The next prime is 10190297256067. The reversal of 10190297256048 is 84065279209101.

It is a happy number.

10190297256048 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 2 + 9 + 7 + 25 + 604 + 8 = 666.

It is a super-3 number, since 3×101902972560483 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10190297255985 and 10190297256003.

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, 201081753 + ... + 201132423.

It is an arithmetic number, because the mean of its divisors is an integer number (74331770240).

Almost surely, 210190297256048 is an apocalyptic number.

10190297256048 is a gapful number since it is divisible by the number (18) 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 10190297256048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839624857600).

10190297256048 is an abundant number, since it is smaller than the sum of its proper divisors (25488952459152).

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

10190297256048 is a wasteful number, since it uses less digits than its factorization.

10190297256048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50957 (or 50948 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10190297256048 in words is "ten trillion, one hundred ninety billion, two hundred ninety-seven million, two hundred fifty-six thousand, forty-eight".