Search a number
-
+
3989710592496 = 243227706323559
BaseRepresentation
bin111010000011101101010…
…010000101100111110000
3112010102010210100122100100
4322003231102011213300
51010331411402424441
612252503040152400
7561150514326366
oct72035522054760
915112123318310
103989710592496
1112a9032688502
12545296008700
1322c2c717b925
14db1629a3636
156dbac9d1cb6
hex3a0ed4859f0

3989710592496 has 30 divisors (see below), whose sum is σ = 11165648394680. Its totient is φ = 1329903530784.

The previous prime is 3989710592431. The next prime is 3989710592509. The reversal of 3989710592496 is 6942950179893.

3989710592496 is a `hidden beast` number, since 3 + 9 + 89 + 7 + 1 + 0 + 59 + 2 + 496 = 666.

It is a super-4 number, since 4×39897105924964 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 5 ways as a sum of consecutive naturals, for example, 13853161636 + ... + 13853161923.

It is a 1-persistent number, because it is pandigital, but 2⋅3989710592496 = 7979421184992 is not.

Almost surely, 23989710592496 is an apocalyptic number.

3989710592496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3989710592496 is an abundant number, since it is smaller than the sum of its proper divisors (7175937802184).

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

3989710592496 is a wasteful number, since it uses less digits than its factorization.

3989710592496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27706323573 (or 27706323564 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 3989710592496 in words is "three trillion, nine hundred eighty-nine billion, seven hundred ten million, five hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27706323559 55412647118 83118970677 110825294236 166237941354 221650588472 249356912031 332475882708 443301176944 498713824062 664951765416 997427648124 1329903530832 1994855296248 3989710592496