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663620706524160 = 210335711217734567
BaseRepresentation
bin1001011011100011110011110…
…0011110100101110000000000
310020000200112001001101102211000
42112320330330132211300000
51143440230201332233120
610311223051025252000
7256532004515121060
oct22670747436456000
93200615031342730
10663620706524160
111824a4a63305400
126251a17ba94000
132263a219704c68
14b9c35b0bbd3a0
1551ac46e10d990
hex25b8f3c7a5c00

663620706524160 has 4224 divisors, whose sum is σ = 3180541249105920. Its totient is φ = 127977840967680.

The previous prime is 663620706524107. The next prime is 663620706524183. The reversal of 663620706524160 is 61425607026366.

663620706524160 is a `hidden beast` number, since 6 + 6 + 3 + 620 + 7 + 0 + 6 + 5 + 2 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a junction number, because it is equal to n+sod(n) for n = 663620706524097 and 663620706524106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145307794197 + ... + 145307798763.

Almost surely, 2663620706524160 is an apocalyptic number.

663620706524160 is a gapful number since it is divisible by the number (60) 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 663620706524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590270624552960).

663620706524160 is an abundant number, since it is smaller than the sum of its proper divisors (2516920542581760).

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

663620706524160 is a wasteful number, since it uses less digits than its factorization.

663620706524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 663620706524160 in words is "six hundred sixty-three trillion, six hundred twenty billion, seven hundred six million, five hundred twenty-four thousand, one hundred sixty".