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103928761601280 = 283557311195979
BaseRepresentation
bin10111101000010111001100…
…111010101100110100000000
3111121222111022002101121200000
4113220113030322230310000
5102110232100432220110
61005012114114400000
730614414411562000
oct2750271472546400
9447874262347600
10103928761601280
1130129a38563460
12b7a610bb90000
1345cb595079b15
141b94270c92000
15c0365b5961c0
hex5e85cceacd00

103928761601280 has 6912 divisors, whose sum is σ = 514263859200000. Its totient is φ = 19857629675520.

The previous prime is 103928761601267. The next prime is 103928761601293. The reversal of 103928761601280 is 82106167829301.

103928761601280 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 2 + 8 + 7 + 6 + 1 + 601 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103928761601267) and next prime (103928761601293).

It is a tau number, because it is divible by the number of its divisors (6912).

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 767 ways as a sum of consecutive naturals, for example, 1315553944281 + ... + 1315553944359.

It is an arithmetic number, because the mean of its divisors is an integer number (74401600000).

Almost surely, 2103928761601280 is an apocalyptic number.

103928761601280 is a gapful number since it is divisible by the number (10) 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 103928761601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257131929600000).

103928761601280 is an abundant number, since it is smaller than the sum of its proper divisors (410335097598720).

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

103928761601280 is an equidigital number, since it uses as much as digits as its factorization.

103928761601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

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

The spelling of 103928761601280 in words is "one hundred three trillion, nine hundred twenty-eight billion, seven hundred sixty-one million, six hundred one thousand, two hundred eighty".