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10406713380 = 2235724777889
BaseRepresentation
bin10011011000100100…
…11101100000100100
3222212021001210222220
421230102131200210
5132303104312010
64440351552340
7515613414150
oct115422354044
928767053886
1010406713380
114460355878
12202522b6b0
13c9b03c68b
1470a194060
1540d94a970
hex26c49d824

10406713380 has 48 divisors (see below), whose sum is σ = 33301484160. Its totient is φ = 2378677248.

The previous prime is 10406713337. The next prime is 10406713381. The reversal of 10406713380 is 8331760401.

It is a super-3 number, since 3×104067133803 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10406713381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12388525 + ... + 12389364.

It is an arithmetic number, because the mean of its divisors is an integer number (693780920).

Almost surely, 210406713380 is an apocalyptic number.

10406713380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406713380 is an abundant number, since it is smaller than the sum of its proper divisors (22894770780).

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

10406713380 is a wasteful number, since it uses less digits than its factorization.

10406713380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24777908 (or 24777906 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10406713380 in words is "ten billion, four hundred six million, seven hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 24777889 49555778 74333667 99111556 123889445 148667334 173445223 247778890 297334668 346890446 371668335 495557780 520335669 693780892 743336670 867226115 1040671338 1486673340 1734452230 2081342676 2601678345 3468904460 5203356690 10406713380