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103867242974784 = 263629216272
BaseRepresentation
bin10111100111011101111010…
…000111110000111001000000
3111121202121111202020121000000
4113213131322013300321000
5102103230103200143114
61004523541441000000
730610106052100542
oct2747357207607100
9447677452217000
10103867242974784
1130105939933883
12b796201623000
1345c583cb08493
141b912b684b692
15c01c5a869e09
hex5e777a1f0e40

103867242974784 has 441 divisors, whose sum is σ = 320246325504417. Its totient is φ = 33407991848448.

The previous prime is 103867242974743. The next prime is 103867242974837. The reversal of 103867242974784 is 487479242768301.

The square root of 103867242974784 is 10191528.

It is a perfect power (a square), and thus also a powerful number.

103867242974784 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 67 + 2 + 4 + 2 + 97 + 478 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54465462725184 + 49401780249600 = 7380072^2 + 7028640^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 63839730579 + ... + 63839732205.

Almost surely, 2103867242974784 is an apocalyptic number.

103867242974784 is the 10191528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103867242974784

103867242974784 is an abundant number, since it is smaller than the sum of its proper divisors (216379082529633).

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

103867242974784 is an frugal number, since it uses more digits than its factorization.

103867242974784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 103867242974784 in words is "one hundred three trillion, eight hundred sixty-seven billion, two hundred forty-two million, nine hundred seventy-four thousand, seven hundred eighty-four".