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21183335272 = 231143107113463
BaseRepresentation
bin10011101110101000…
…000000101101101000
32000200022011221002001
4103232220000231220
5321340413212042
613422000220344
71346641243651
oct235650005550
960608157061
1021183335272
118a90493360
12413230a6b4
131cc78b5b18
14104d518528
1583eab3bb7
hex4eea00b68

21183335272 has 128 divisors (see below), whose sum is σ = 45245122560. Its totient is φ = 9214571520.

The previous prime is 21183335269. The next prime is 21183335309. The reversal of 21183335272 is 27253338112.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45752113 + ... + 45752575.

It is an arithmetic number, because the mean of its divisors is an integer number (353477520).

Almost surely, 221183335272 is an apocalyptic number.

21183335272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21183335272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22622561280).

21183335272 is an abundant number, since it is smaller than the sum of its proper divisors (24061787288).

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

21183335272 is a wasteful number, since it uses less digits than its factorization.

21183335272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The spelling of 21183335272 in words is "twenty-one billion, one hundred eighty-three million, three hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 107 113 172 214 226 344 428 452 463 473 856 904 926 946 1177 1243 1852 1892 2354 2486 3704 3784 4601 4708 4859 4972 5093 9202 9416 9718 9944 10186 12091 18404 19436 19909 20372 24182 36808 38872 39818 40744 48364 49541 50611 52319 53449 79636 96728 99082 101222 104638 106898 133001 159272 198164 202444 209276 213796 218999 266002 396328 404888 418552 427592 437998 519913 532004 544951 575509 875996 1039826 1064008 1089902 1151018 1751992 2079652 2130263 2179804 2249717 2302036 4159304 4260526 4359608 4499434 4604072 5598133 5719043 8521052 8998868 11196266 11438086 17042104 17997736 22392532 22876172 23432893 24746887 44785064 45752344 46865786 49493774 61579463 93731572 98987548 123158926 187463144 197975096 240719719 246317852 481439438 492635704 962878876 1925757752 2647916909 5295833818 10591667636 21183335272