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23135580522916 = 2217219327332
BaseRepresentation
bin1010100001010101011000…
…00011110000100110100100
310000220201222101101222000121
411100222230003300212210
511013023132103213131
6121112201114451324
74605330152506321
oct520525403604644
9100821871358017
1023135580522916
11740a821075354
1227179b7133b44
13cba8a2bb3514
1459daa7837b48
152a1c22316911
hex150aac0f09a4

23135580522916 has 81 divisors (see below), whose sum is σ = 43292024461161. Its totient is φ = 10816144809984.

The previous prime is 23135580522893. The next prime is 23135580522917. The reversal of 23135580522916 is 61922508553132.

The square root of 23135580522916 is 4809946.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 349316460900 + 22786264062016 = 591030^2 + 4773496^2 .

It is a super-2 number, since 2×231355805229162 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23135580522917) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31562865286 + ... + 31562866018.

Almost surely, 223135580522916 is an apocalyptic number.

23135580522916 is the 4809946-th square number.

It is an amenable number.

23135580522916 is a deficient number, since it is larger than the sum of its proper divisors (20156443938245).

23135580522916 is an frugal number, since it uses more digits than its factorization.

23135580522916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

It can be divided in two parts, 23135580 and 522916, that added together give a square (23658496 = 48642).

The spelling of 23135580522916 in words is "twenty-three trillion, one hundred thirty-five billion, five hundred eighty million, five hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 17 34 68 193 289 386 578 733 772 1156 1466 2932 3281 6562 12461 13124 24922 37249 49844 55777 74498 111554 141469 148996 211837 223108 282938 423674 537289 565876 633233 847348 1074578 1266466 2149156 2404973 2532932 4809946 9133913 9619892 10764961 18267826 21529922 27303517 36535652 40884541 43059844 54607034 81769082 103696777 109214068 155276521 163538164 207393554 310553042 414787108 464159789 621106084 928319578 1762845209 1856639156 3525690418 7051380836 7890716413 15781432826 20013477961 29968368553 31562865652 40026955922 59936737106 80053911844 119873474212 340229125337 680458250674 1360916501348 5783895130729 11567790261458 23135580522916