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103455247680 = 26375147827
BaseRepresentation
bin110000001011001101…
…0011100110101000000
3100220000222022010000000
41200112122130311000
53143334020411210
6115305433000000
710321501044621
oct1402632346500
9326028263000
10103455247680
113a9698768a4
1218072b53000
1399a960a3b5
145015ccda48
152a57756ac0
hex181669cd40

103455247680 has 224 divisors, whose sum is σ = 369475390080. Its totient is φ = 27587879424.

The previous prime is 103455247633. The next prime is 103455247697. The reversal of 103455247680 is 86742554301.

103455247680 is a `hidden beast` number, since 1 + 0 + 3 + 45 + 524 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625927 + ... + 773753.

Almost surely, 2103455247680 is an apocalyptic number.

103455247680 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 103455247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184737695040).

103455247680 is an abundant number, since it is smaller than the sum of its proper divisors (266020142400).

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

103455247680 is an frugal number, since it uses more digits than its factorization.

103455247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147865 (or 147837 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 103455247680 in words is "one hundred three billion, four hundred fifty-five million, two hundred forty-seven thousand, six hundred eighty".