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2283889198464 = 273419232112389
BaseRepresentation
bin100001001111000010011…
…001111000010110000000
322002100010011110100210000
4201033002121320112000
5244404401113322324
64505112035440000
7324001621606506
oct41170231702600
98070104410700
102283889198464
11800656a03475
1230a771a56000
131374a6683903
147c78005a676
153e6210aa9c9
hex213c2678580

2283889198464 has 640 divisors, whose sum is σ = 7504133472000. Its totient is φ = 686313492480.

The previous prime is 2283889198439. The next prime is 2283889198583. The reversal of 2283889198464 is 4648919883822.

2283889198464 is a `hidden beast` number, since 2 + 2 + 83 + 8 + 89 + 1 + 9 + 8 + 464 = 666.

It is a super-2 number, since 2×22838891984642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2283889198392 and 2283889198401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 956000982 + ... + 956003370.

It is an arithmetic number, because the mean of its divisors is an integer number (11725208550).

Almost surely, 22283889198464 is an apocalyptic number.

2283889198464 is a gapful number since it is divisible by the number (24) 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 2283889198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752066736000).

2283889198464 is an abundant number, since it is smaller than the sum of its proper divisors (5220244273536).

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

2283889198464 is a wasteful number, since it uses less digits than its factorization.

2283889198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2647 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 2283889198464 in words is "two trillion, two hundred eighty-three billion, eight hundred eighty-nine million, one hundred ninety-eight thousand, four hundred sixty-four".