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2193766738380 = 223657316779131
BaseRepresentation
bin11111111011000110101…
…011111110100111001100
321202201111101011001000000
4133323012223332213030
5241420313241112010
64355445202404300
7314331404414460
oct37730653764714
97681441131000
102193766738380
1177640a1502a8
122b5200060690
1312bb43385a59
1478270ba24a0
153c0e90de7c0
hex1fec6afe9cc

2193766738380 has 1344 divisors, whose sum is σ = 8438830202880. Its totient is φ = 468360921600.

The previous prime is 2193766738357. The next prime is 2193766738391. The reversal of 2193766738380 is 838376673912.

2193766738380 is a `hidden beast` number, since 2 + 193 + 7 + 6 + 67 + 3 + 8 + 380 = 666.

It is a super-2 number, since 2×21937667383802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 16746310915 + ... + 16746311045.

It is an arithmetic number, because the mean of its divisors is an integer number (6278891520).

Almost surely, 22193766738380 is an apocalyptic number.

2193766738380 is a gapful number since it is divisible by the number (20) 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 2193766738380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219415101440).

2193766738380 is an abundant number, since it is smaller than the sum of its proper divisors (6245063464500).

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

2193766738380 is a wasteful number, since it uses less digits than its factorization.

2193766738380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2193766738380 in words is "two trillion, one hundred ninety-three billion, seven hundred sixty-six million, seven hundred thirty-eight thousand, three hundred eighty".