Search a number
-
+
20947272624 = 24361795891
BaseRepresentation
bin10011100000100011…
…100000001110110000
32000001211222201000000
4103200203200032300
5320400000210444
613342324430000
71341043610445
oct234043401660
960054881000
1020947272624
11897a209a63
124087248300
131c8aa13195
14102a0299cc
15828ed4469
hex4e08e03b0

20947272624 has 70 divisors (see below), whose sum is σ = 60850208636. Its totient is φ = 6982420320.

The previous prime is 20947272613. The next prime is 20947272629. The reversal of 20947272624 is 42627274902.

It is a happy number.

It is a super-4 number, since 4×209472726244 (a number of 42 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20947272624.

It is not an unprimeable number, because it can be changed into a prime (20947272629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 886282 + ... + 909609.

Almost surely, 220947272624 is an apocalyptic number.

20947272624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20947272624 is an abundant number, since it is smaller than the sum of its proper divisors (39902936012).

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

20947272624 is an equidigital number, since it uses as much as digits as its factorization.

20947272624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795917 (or 1795896 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 20947272624 in words is "twenty billion, nine hundred forty-seven million, two hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 1795891 3591782 5387673 7183564 10775346 14367128 16163019 21550692 28734256 32326038 43101384 48489057 64652076 86202768 96978114 129304152 145467171 193956228 258608304 290934342 387912456 436401513 581868684 775824912 872803026 1163737368 1309204539 1745606052 2327474736 2618409078 3491212104 5236818156 6982424208 10473636312 20947272624