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4984914680928 = 25337213163181307
BaseRepresentation
bin100100010001010010000…
…0100011001110001100000
3122122112221021102111222000
41020202210010121301200
51123133101124242203
614334012125444000
71023101555444100
oct110424404316140
918575837374860
104984914680928
1116520aa421016
12686139a10600
132a20c9974a70
141333b20b3200
1589a081a74a3
hex488a4119c60

4984914680928 has 1152 divisors, whose sum is σ = 18487125296640. Its totient is φ = 1295185489920.

The previous prime is 4984914680917. The next prime is 4984914680947. The reversal of 4984914680928 is 8290864194894.

4984914680928 is a `hidden beast` number, since 4 + 9 + 8 + 491 + 46 + 8 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×49849146809282 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16237506951 + ... + 16237507257.

It is an arithmetic number, because the mean of its divisors is an integer number (16047851820).

Almost surely, 24984914680928 is an apocalyptic number.

4984914680928 is a gapful number since it is divisible by the number (48) 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 4984914680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243562648320).

4984914680928 is an abundant number, since it is smaller than the sum of its proper divisors (13502210615712).

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

4984914680928 is a wasteful number, since it uses less digits than its factorization.

4984914680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 4984914680928 in words is "four trillion, nine hundred eighty-four billion, nine hundred fourteen million, six hundred eighty thousand, nine hundred twenty-eight".