Search a number
-
+
393988290432 = 2731193273743
BaseRepresentation
bin1011011101110111000…
…10000011011110000000
31101122221201110212210220
411232323202003132000
522423342000243212
6500555024223040
740315253132652
oct5567342033600
91348851425726
10393988290432
111420a9133a90
1264435a6aa80
132b1cb002849
14150d79c66d2
15a3adc4b38c
hex5bbb883780

393988290432 has 64 divisors (see below), whose sum is σ = 1141670626560. Its totient is φ = 119390389760.

The previous prime is 393988290427. The next prime is 393988290439. The reversal of 393988290432 is 234092889393.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393988290439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46632648 + ... + 46641095.

It is an arithmetic number, because the mean of its divisors is an integer number (17838603540).

Almost surely, 2393988290432 is an apocalyptic number.

393988290432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

393988290432 is an abundant number, since it is smaller than the sum of its proper divisors (747682336128).

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

393988290432 is a wasteful number, since it uses less digits than its factorization.

393988290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93273771 (or 93273759 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 393988290432 in words is "three hundred ninety-three billion, nine hundred eighty-eight million, two hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 93273743 186547486 279821229 373094972 559642458 746189944 1026011173 1119284916 1492379888 2052022346 2238569832 2984759776 3078033519 4104044692 4477139664 5969519552 6156067038 8208089384 8954279328 11939039104 12312134076 16416178768 17908558656 24624268152 32832357536 35817117312 49248536304 65664715072 98497072608 131329430144 196994145216 393988290432