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69993770112 = 2733723167199
BaseRepresentation
bin100000100101111110…
…1000010110010000000
320200122222121221002000
41001023331002302000
52121321401120422
652053225224000
75025340141500
oct1011375026200
9220588557060
1069993770112
1127758727502
1211694932000
1367a6075b26
14355dc73a00
151c49ccecac
hex104bf42c80

69993770112 has 768 divisors, whose sum is σ = 253025280000. Its totient is φ = 18968463360.

The previous prime is 69993770101. The next prime is 69993770153. The reversal of 69993770112 is 21107739996.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351727389 + ... + 351727587.

It is an arithmetic number, because the mean of its divisors is an integer number (329460000).

Almost surely, 269993770112 is an apocalyptic number.

69993770112 is a gapful number since it is divisible by the number (62) 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 69993770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126512640000).

69993770112 is an abundant number, since it is smaller than the sum of its proper divisors (183031509888).

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

69993770112 is a wasteful number, since it uses less digits than its factorization.

69993770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 69993770112 in words is "sixty-nine billion, nine hundred ninety-three million, seven hundred seventy thousand, one hundred twelve".