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104058248797440 = 283557259971193
BaseRepresentation
bin10111101010001111110010…
…111101001001110100000000
3111122102212112021101201200000
4113222033302331021310000
5102114342243143004230
61005151411034400000
730626650260564300
oct2752176275116400
9448385467351600
10104058248797440
1130179945720463
12b807228b90000
13460a85c935712
141b9a6361d1600
15c06bd93b2b60
hex5ea3f2f49d00

104058248797440 has 2592 divisors, whose sum is σ = 446611644984960. Its totient is φ = 23121166860288.

The previous prime is 104058248797427. The next prime is 104058248797453. The reversal of 104058248797440 is 44797842850401.

104058248797440 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 8 + 24 + 87 + 97 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (104058248797427) and next prime (104058248797453).

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 87224013484 + ... + 87224014676.

It is an arithmetic number, because the mean of its divisors is an integer number (172303875380).

Almost surely, 2104058248797440 is an apocalyptic number.

104058248797440 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 104058248797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223305822492480).

104058248797440 is an abundant number, since it is smaller than the sum of its proper divisors (342553396187520).

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

104058248797440 is an equidigital number, since it uses as much as digits as its factorization.

104058248797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 104058248797440 in words is "one hundred four trillion, fifty-eight billion, two hundred forty-eight million, seven hundred ninety-seven thousand, four hundred forty".