Search a number
-
+
3320054532540 = 2232587721031639
BaseRepresentation
bin110000010100000010101…
…010111100100110111100
3102202101122022100010000200
4300110002222330212330
5413343432430020130
611021113442523500
7461603021616354
oct60240252744674
912671568303020
103320054532540
111070033259109
12457547666590
131b110641a8c5
14b6997677b64
155b567841760
hex30502abc9bc

3320054532540 has 72 divisors (see below), whose sum is σ = 10082315836320. Its totient is φ = 884338314624.

The previous prime is 3320054532527. The next prime is 3320054532551. The reversal of 3320054532540 is 452354500233.

3320054532540 is a `hidden beast` number, since 3 + 3 + 20 + 0 + 54 + 532 + 54 + 0 = 666.

It is a super-2 number, since 2×33200545325402 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3320054532495 and 3320054532504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10357960 + ... + 10673679.

Almost surely, 23320054532540 is an apocalyptic number.

3320054532540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3320054532540 is an abundant number, since it is smaller than the sum of its proper divisors (6762261303780).

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

3320054532540 is a wasteful number, since it uses less digits than its factorization.

3320054532540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21032531 (or 21032526 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 3320054532540 in words is "three trillion, three hundred twenty billion, fifty-four million, five hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 877 1754 2631 3508 4385 5262 7893 8770 10524 13155 15786 17540 26310 31572 39465 52620 78930 157860 21031639 42063278 63094917 84126556 105158195 126189834 189284751 210316390 252379668 315474585 378569502 420632780 630949170 757139004 946423755 1261898340 1892847510 3785695020 18444747403 36889494806 55334242209 73778989612 92223737015 110668484418 166002726627 184447474030 221336968836 276671211045 332005453254 368894948060 553342422090 664010906508 830013633135 1106684844180 1660027266270 3320054532540