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4893978793984 = 21175310163773
BaseRepresentation
bin100011100110111011111…
…0111100001100000000000
3122022212012210111211022021
41013031313313201200000
51120140332032401414
614224132434051224
71013402233244140
oct107156767414000
918285183454267
104893978793984
111617585497245
1267059b719b14
13296666ca2737
1412cc26b96920
1587484ab0c24
hex47377de1800

4893978793984 has 192 divisors, whose sum is σ = 11507513209920. Its totient is φ = 2037438873600.

The previous prime is 4893978793933. The next prime is 4893978794009.

4893978793984 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×48939787939842 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4893978793895 and 4893978793904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76708722 + ... + 76772494.

It is an arithmetic number, because the mean of its divisors is an integer number (59934964635).

Almost surely, 24893978793984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4893978793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753756604960).

4893978793984 is an abundant number, since it is smaller than the sum of its proper divisors (6613534415936).

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

4893978793984 is a wasteful number, since it uses less digits than its factorization.

4893978793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63956 (or 63936 counting only the distinct ones).

The product of its digits is 23702740992, while the sum is 88.

The spelling of 4893978793984 in words is "four trillion, eight hundred ninety-three billion, nine hundred seventy-eight million, seven hundred ninety-three thousand, nine hundred eighty-four".