Search a number
-
+
32454201456 = 2432427152769
BaseRepresentation
bin11110001110011010…
…111101000001110000
310002202210022020212100
4132032122331001300
51012431233421311
622524222100400
72226150106065
oct361632750160
9102683266770
1032454201456
11128446069a6
126358a1a700
1330a297a601
1417dc376c6c
15c9e309a56
hex78e6bd070

32454201456 has 60 divisors (see below), whose sum is σ = 90849676320. Its totient is φ = 10815329280.

The previous prime is 32454201433. The next prime is 32454201469. The reversal of 32454201456 is 65410245423.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32454201456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588640 + ... + 641408.

It is an arithmetic number, because the mean of its divisors is an integer number (1514161272).

Almost surely, 232454201456 is an apocalyptic number.

32454201456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32454201456 is an abundant number, since it is smaller than the sum of its proper divisors (58395474864).

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

32454201456 is a wasteful number, since it uses less digits than its factorization.

32454201456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57054 (or 57045 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 32454201456 its reverse (65410245423), we get a palindrome (97864446879).

The spelling of 32454201456 in words is "thirty-two billion, four hundred fifty-four million, two hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4271 8542 12813 17084 25626 34168 38439 51252 52769 68336 76878 102504 105538 153756 158307 205008 211076 307512 316614 422152 474921 615024 633228 844304 949842 1266456 1899684 2532912 3799368 7598736 225376399 450752798 676129197 901505596 1352258394 1803011192 2028387591 2704516788 3606022384 4056775182 5409033576 8113550364 10818067152 16227100728 32454201456