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10704744072 = 23321113619931
BaseRepresentation
bin10011111100000110…
…10110111010001000
31000122000212100020200
421332003112322020
5133410403302242
64530115452200
7526162552251
oct117603267210
930560770220
1010704744072
1145a3604730
1220a8bb7060
1310179cacb9
147379b3b28
15429bbb04c
hex27e0d6e88

10704744072 has 96 divisors (see below), whose sum is σ = 31654078560. Its totient is φ = 3241152000.

The previous prime is 10704744007. The next prime is 10704744073. The reversal of 10704744072 is 27044740701.

10704744072 is a `hidden beast` number, since 10 + 70 + 474 + 40 + 72 = 666.

10704744072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107047440722 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10704744073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072947 + ... + 1082877.

It is an arithmetic number, because the mean of its divisors is an integer number (329729985).

Almost surely, 210704744072 is an apocalyptic number.

10704744072 is a gapful number since it is divisible by the number (12) 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 10704744072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827039280).

10704744072 is an abundant number, since it is smaller than the sum of its proper divisors (20949334488).

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

10704744072 is a wasteful number, since it uses less digits than its factorization.

10704744072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 10704744072 in words is "ten billion, seven hundred four million, seven hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1361 2722 4083 5444 8166 9931 10888 12249 14971 16332 19862 24498 29793 29942 32664 39724 44913 48996 59586 59884 79448 89379 89826 97992 109241 119172 119768 134739 178758 179652 218482 238344 269478 327723 357516 359304 436964 538956 655446 715032 873928 983169 1077912 1310892 1966338 2621784 3932676 7865352 13516091 27032182 40548273 54064364 81096546 108128728 121644819 148677001 162193092 243289638 297354002 324386184 446031003 486579276 594708004 892062006 973158552 1189416008 1338093009 1784124012 2676186018 3568248024 5352372036 10704744072