Search a number
-
+
10736453742 = 2374719328181
BaseRepresentation
bin10011111111111000…
…10100100001101110
31000201020112100201220
421333330110201232
5133442013004432
64533211244210
7530026231260
oct117774244156
930636470656
1010736453742
11460a4a2673
1220b7749666
131021451211
1473bca9b30
1542c88172c
hex27ff1486e

10736453742 has 64 divisors (see below), whose sum is σ = 25193355264. Its totient is φ = 2986629120.

The previous prime is 10736453719. The next prime is 10736453759. The reversal of 10736453742 is 24735463701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10736453694 and 10736453703.

It is a congruent number.

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, 366892 + ... + 395072.

It is an arithmetic number, because the mean of its divisors is an integer number (393646176).

Almost surely, 210736453742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10736453742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12596677632).

10736453742 is an abundant number, since it is smaller than the sum of its proper divisors (14456901522).

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

10736453742 is a wasteful number, since it uses less digits than its factorization.

10736453742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28433.

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 10736453742 in words is "ten billion, seven hundred thirty-six million, four hundred fifty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 193 282 329 386 579 658 987 1158 1351 1974 2702 4053 8106 9071 18142 27213 28181 54426 56362 63497 84543 126994 169086 190491 197267 380982 394534 591801 1183602 1324507 2649014 3973521 5438933 7947042 9271549 10877866 16316799 18543098 27814647 32633598 38072531 55629294 76145062 114217593 228435186 255629851 511259702 766889553 1533779106 1789408957 3578817914 5368226871 10736453742