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10247985394416 = 24337112910623461
BaseRepresentation
bin1001010100100000101110…
…0001110111001011110000
31100021200211201111112122000
42111020023201313023300
52320400333230110131
633443505352414000
72105251426411350
oct225101341671360
940250751445560
1010247985394416
1132a1167655280
1211961656a7300
135944c4a280b3
14276010162b60
1512b890e61ce6
hex9520b8772f0

10247985394416 has 320 divisors, whose sum is σ = 37938507494400. Its totient is φ = 2570027443200.

The previous prime is 10247985394363. The next prime is 10247985394457. The reversal of 10247985394416 is 61449358974201.

10247985394416 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 98 + 539 + 4 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4347075 + ... + 6276386.

It is an arithmetic number, because the mean of its divisors is an integer number (118557835920).

It is a 1-persistent number, because it is pandigital, but 2⋅10247985394416 = 20495970788832 is not.

Almost surely, 210247985394416 is an apocalyptic number.

10247985394416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10247985394416 is an abundant number, since it is smaller than the sum of its proper divisors (27690522099984).

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

10247985394416 is a wasteful number, since it uses less digits than its factorization.

10247985394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623525 (or 10623513 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 10247985394416 in words is "ten trillion, two hundred forty-seven billion, nine hundred eighty-five million, three hundred ninety-four thousand, four hundred sixteen".