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1052546922064 = 241153173365111
BaseRepresentation
bin11110101000100001010…
…11110111011001010000
310201121210210201122100201
433110100223313121100
5114221104003001224
62123311113224544
7136021044135361
oct17242053673120
93647723648321
101052546922064
11376423330210
1214bba7a02154
13783408b6131
1438d2d11db68
151c5a4a04a44
hexf510af7650

1052546922064 has 80 divisors (see below), whose sum is σ = 2268019730304. Its totient is φ = 469125363200.

The previous prime is 1052546922029. The next prime is 1052546922073. The reversal of 1052546922064 is 4602296452501.

1052546922064 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 2×10525469220642 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16132869 + ... + 16197979.

Almost surely, 21052546922064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052546922064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134009865152).

1052546922064 is an abundant number, since it is smaller than the sum of its proper divisors (1215472808240).

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

1052546922064 is a wasteful number, since it uses less digits than its factorization.

1052546922064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66916 (or 66910 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 1052546922064 in words is "one trillion, fifty-two billion, five hundred forty-six million, nine hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1733 2332 3466 4664 6932 9328 13864 19063 27728 38126 65111 76252 91849 130222 152504 183698 260444 305008 367396 520888 716221 734792 1010339 1041776 1432442 1469584 2020678 2864884 3450883 4041356 5729768 6901766 8082712 11459536 13803532 16165424 27607064 37959713 55214128 75919426 112837363 151838852 225674726 303677704 451349452 607355408 902698904 1241210993 1805397808 2482421986 4964843972 5980380239 9929687944 11960760478 19859375888 23921520956 47843041912 65784182629 95686083824 131568365258 263136730516 526273461032 1052546922064