Search a number
-
+
5743364626792 = 2313615669159697
BaseRepresentation
bin101001110010011101100…
…1101010101100101101000
3202100001121221210210220201
41103210323031111211220
51223044402321024132
620114244300201544
71131641633556052
oct123447315254550
922301557723821
105743364626792
11191482466a0a1
127891292392b4
1332879b6a2990
1415bda20588d2
159e5e887c2e7
hex5393b355968

5743364626792 has 64 divisors (see below), whose sum is σ = 11789449333200. Its totient is φ = 2606851952640.

The previous prime is 5743364626787. The next prime is 5743364626807. The reversal of 5743364626792 is 2976264633475.

It can be written as a sum of positive squares in 8 ways, for example, as 268578916516 + 5474785710276 = 518246^2 + 2339826^2 .

It is a super-2 number, since 2×57433646267922 (a number of 26 digits) contains 22 as substring.

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, 35884288 + ... + 36043984.

Almost surely, 25743364626792 is an apocalyptic number.

5743364626792 is a gapful number since it is divisible by the number (52) 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 5743364626792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894724666600).

5743364626792 is an abundant number, since it is smaller than the sum of its proper divisors (6046084706408).

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

5743364626792 is a wasteful number, since it uses less digits than its factorization.

5743364626792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165446 (or 165442 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 64.

The spelling of 5743364626792 in words is "five trillion, seven hundred forty-three billion, three hundred sixty-four million, six hundred twenty-six thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 5669 6344 11338 22676 45352 73697 147394 159697 294788 319394 345809 589576 638788 691618 1277576 1383236 2076061 2766472 4152122 4495517 8304244 8991034 9741517 16608488 17982068 19483034 35964136 38966068 77932136 126639721 253279442 506558884 905322293 1013117768 1810644586 3621289172 7242578344 11769189809 23538379618 47076759236 55224659873 94153518472 110449319746 220898639492 441797278984 717920578349 1435841156698 2871682313396 5743364626792