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20347190680 = 2358913741719
BaseRepresentation
bin10010111100110010…
…010111110110011000
31221112000211101022211
4102330302113312120
5313132340100210
613203010524504
71320136160425
oct227462276630
957460741284
1020347190680
1186a1505573
123b3a296734
131bc35b91cb
14db0460d4c
157e149c38a
hex4bcc97d98

20347190680 has 64 divisors (see below), whose sum is σ = 46634616000. Its totient is φ = 7988496384.

The previous prime is 20347190641. The next prime is 20347190681. The reversal of 20347190680 is 8609174302.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20347190681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466861 + ... + 508579.

It is an arithmetic number, because the mean of its divisors is an integer number (728665875).

Almost surely, 220347190680 is an apocalyptic number.

20347190680 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 20347190680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317308000).

20347190680 is an abundant number, since it is smaller than the sum of its proper divisors (26287425320).

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

20347190680 is a wasteful number, since it uses less digits than its factorization.

20347190680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41956 (or 41952 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 20347190680 in words is "twenty billion, three hundred forty-seven million, one hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 137 178 274 356 445 548 685 712 890 1096 1370 1780 2740 3560 5480 12193 24386 41719 48772 60965 83438 97544 121930 166876 208595 243860 333752 417190 487720 834380 1668760 3712991 5715503 7425982 11431006 14851964 18564955 22862012 28577515 29703928 37129910 45724024 57155030 74259820 114310060 148519640 228620120 508679767 1017359534 2034719068 2543398835 4069438136 5086797670 10173595340 20347190680