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2263982170608 = 243515133711443
BaseRepresentation
bin100000111100011111110…
…110100110000111110000
322000102201210212120100000
4200330133312212013300
5244043113413424413
64452020431030000
7322365405634434
oct40743766460760
98012653776300
102263982170608
117a3170a05834
1230693706b300
1313565332b9a2
147b8122569c4
153dd585a7073
hex20f1fda61f0

2263982170608 has 240 divisors, whose sum is σ = 6634393316096. Its totient is φ = 747373132800.

The previous prime is 2263982170553. The next prime is 2263982170609. The reversal of 2263982170608 is 8060712893622.

2263982170608 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 9 + 8 + 21 + 7 + 0 + 608 = 666.

It is a super-2 number, since 2×22639821706082 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263982170609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197842935 + ... + 197854377.

Almost surely, 22263982170608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263982170608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317196658048).

2263982170608 is an abundant number, since it is smaller than the sum of its proper divisors (4370411145488).

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

2263982170608 is a wasteful number, since it uses less digits than its factorization.

2263982170608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11936 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2263982170608 in words is "two trillion, two hundred sixty-three billion, nine hundred eighty-two million, one hundred seventy thousand, six hundred eight".