Search a number
-
+
1053171742064 = 24133291710271
BaseRepresentation
bin11110101001101011110…
…11010111010101110000
310201200102100102210021012
433110311323113111300
5114223343431221224
62123453113250052
7136042402050131
oct17246573272560
93650370383235
101053171742064
11376713aa0782
12150141103928
1378410192000
1438d8c0c7c88
151c5de7c680e
hexf535ed7570

1053171742064 has 80 divisors (see below), whose sum is σ = 2211459290880. Its totient is φ = 485865319680.

The previous prime is 1053171742013. The next prime is 1053171742067. The reversal of 1053171742064 is 4602471713501.

It is a super-2 number, since 2×10531717420642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053171742067) 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, 102533249 + ... + 102543519.

It is an arithmetic number, because the mean of its divisors is an integer number (27643241136).

Almost surely, 21053171742064 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 1053171742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105729645440).

1053171742064 is an abundant number, since it is smaller than the sum of its proper divisors (1158287548816).

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

1053171742064 is a wasteful number, since it uses less digits than its factorization.

1053171742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13203 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 1053171742064 in words is "one trillion, fifty-three billion, one hundred seventy-one million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2197 2704 2917 4394 5834 8788 10271 11668 17576 20542 23336 35152 37921 41084 46672 75842 82168 133523 151684 164336 267046 303368 492973 534092 606736 985946 1068184 1735799 1971892 2136368 3471598 3943784 6408649 6943196 7887568 12817298 13886392 22565387 25634596 27772784 29960507 45130774 51269192 59921014 90261548 102538384 119842028 180523096 239684056 361046192 389486591 479368112 778973182 1557946364 3115892728 5063325683 6231785456 10126651366 20253302732 40506605464 65823233879 81013210928 131646467758 263292935516 526585871032 1053171742064