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5665542217920 = 2633513142335447
BaseRepresentation
bin101001001110001110010…
…1000011010000011000000
3202001121202101012211101000
41102130130220122003000
51220311012301433140
620014414132012000
71123215263162454
oct122343450320300
922047671184330
105665542217920
111894819977502
1277602a761000
13321348754830
141582dc5a6664
159c591650a30
hex5271ca1a0c0

5665542217920 has 448 divisors, whose sum is σ = 21539951677440. Its totient is φ = 1393575653376.

The previous prime is 5665542217919. The next prime is 5665542217921. The reversal of 5665542217920 is 297122455665.

5665542217920 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 542 + 2 + 1 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5665542217919) and next prime (5665542217921).

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

It is not an unprimeable number, because it can be changed into a prime (5665542217921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159813637 + ... + 159849083.

It is an arithmetic number, because the mean of its divisors is an integer number (48080249280).

Almost surely, 25665542217920 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 5665542217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10769975838720).

5665542217920 is an abundant number, since it is smaller than the sum of its proper divisors (15874409459520).

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

5665542217920 is a wasteful number, since it uses less digits than its factorization.

5665542217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36909 (or 36893 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5665542217920 in words is "five trillion, six hundred sixty-five billion, five hundred forty-two million, two hundred seventeen thousand, nine hundred twenty".