Search a number
-
+
3984092404992 = 28327437577589
BaseRepresentation
bin111001111110011110011…
…010011001110100000000
3112002212122020202010221200
4321332132122121310000
51010233410123424432
612250133343021200
7560561344453110
oct71763632316400
915085566663850
103984092404992
1112a670a330037
1254418859a800
1322b91022701b
14dab8c783040
156d97e668a7c
hex39f9e699d00

3984092404992 has 432 divisors, whose sum is σ = 13452961441920. Its totient is φ = 1110224683008.

The previous prime is 3984092404987. The next prime is 3984092405003. The reversal of 3984092404992 is 2994042904893.

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 47 ways as a sum of consecutive naturals, for example, 524978734 + ... + 524986322.

Almost surely, 23984092404992 is an apocalyptic number.

3984092404992 is a gapful number since it is divisible by the number (32) 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 3984092404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726480720960).

3984092404992 is an abundant number, since it is smaller than the sum of its proper divisors (9468869036928).

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

3984092404992 is a wasteful number, since it uses less digits than its factorization.

3984092404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 3984092404992 in words is "three trillion, nine hundred eighty-four billion, ninety-two million, four hundred four thousand, nine hundred ninety-two".