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4981470477984 = 253372112131931127
BaseRepresentation
bin100100001111101011011…
…0001110011111010100000
3122122020001020112212202000
41020133112301303322200
51123104022420243414
614332242252324000
71022620324265100
oct110372661637240
918566036485660
104981470477984
1116506a2244400
12685538473600
132a199b243360
141331668bb200
15898a5b1cb09
hex487d6c73ea0

4981470477984 has 3456 divisors, whose sum is σ = 21910133145600. Its totient is φ = 1086375628800.

The previous prime is 4981470477979. The next prime is 4981470478021. The reversal of 4981470477984 is 4897740741894.

4981470477984 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 4 + 70 + 477 + 9 + 84 = 666.

It is a super-2 number, since 2×49814704779842 (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 an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39224176929 + ... + 39224177055.

It is an arithmetic number, because the mean of its divisors is an integer number (6339737600).

Almost surely, 24981470477984 is an apocalyptic number.

4981470477984 is a gapful number since it is divisible by the number (44) 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 4981470477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955066572800).

4981470477984 is an abundant number, since it is smaller than the sum of its proper divisors (16928662667616).

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

4981470477984 is a wasteful number, since it uses less digits than its factorization.

4981470477984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 4981470477984 in words is "four trillion, nine hundred eighty-one billion, four hundred seventy million, four hundred seventy-seven thousand, nine hundred eighty-four".