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1902856068960 = 2535711431197307
BaseRepresentation
bin11011101100001011000…
…011110101111101100000
320201220121022101211210020
4123230023003311331200
5222134022123201320
64014054321233440
7254322355500150
oct33541303657540
96656538354706
101902856068960
11673aa6709660
12268952792880
1310a591683782
1468154c8a760
153476e8a5940
hex1bb0b0f5f60

1902856068960 has 384 divisors, whose sum is σ = 7646832635904. Its totient is φ = 386203023360.

The previous prime is 1902856068937. The next prime is 1902856068983. The reversal of 1902856068960 is 698606582091.

It is an interprime number because it is at equal distance from previous prime (1902856068937) and next prime (1902856068983).

It is a super-2 number, since 2×19028560689602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1902856068894 and 1902856068903.

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, 990627 + ... + 2187933.

It is an arithmetic number, because the mean of its divisors is an integer number (19913626656).

Almost surely, 21902856068960 is an apocalyptic number.

1902856068960 is a gapful number since it is divisible by the number (10) 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 1902856068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823416317952).

1902856068960 is an abundant number, since it is smaller than the sum of its proper divisors (5743976566944).

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

1902856068960 is a wasteful number, since it uses less digits than its factorization.

1902856068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197386 (or 1197378 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 1902856068960 in words is "one trillion, nine hundred two billion, eight hundred fifty-six million, sixty-eight thousand, nine hundred sixty".