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68207149980 = 2237523151449
BaseRepresentation
bin111111100001011101…
…101000001110011100
320112001110210020000000
4333201131220032130
52104142012244410
651200043534300
74633144131444
oct774135501634
9215043706000
1068207149980
1126a21181342
121127652a390
13657cb8bb58
143430881124
151b9301adc0
hexfe176839c

68207149980 has 384 divisors, whose sum is σ = 226146816000. Its totient is φ = 17244057600.

The previous prime is 68207149973. The next prime is 68207149991. The reversal of 68207149980 is 8994170286.

68207149980 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 71 + 499 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 151908796 + ... + 151909244.

It is an arithmetic number, because the mean of its divisors is an integer number (588924000).

Almost surely, 268207149980 is an apocalyptic number.

68207149980 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 68207149980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113073408000).

68207149980 is an abundant number, since it is smaller than the sum of its proper divisors (157939666020).

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

68207149980 is a wasteful number, since it uses less digits than its factorization.

68207149980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 68207149980 in words is "sixty-eight billion, two hundred seven million, one hundred forty-nine thousand, nine hundred eighty".