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104960598720784 = 2419223258612
BaseRepresentation
bin10111110111011000001011…
…001100111100000100010000
3111202122010122120222021201021
4113313120023030330010100
5102224133301233031114
61011122122225045224
731052103324434302
oct2767301314740420
9452563576867637
10104960598720784
11304975a372a464
12b932098186814
1346749851c61c1
141bcc19771d972
15c203ecd73024
hex5f760b33c110

104960598720784 has 135 divisors (see below), whose sum is σ = 224403356692389. Its totient is φ = 47548404351360.

The previous prime is 104960598720781. The next prime is 104960598720787. The reversal of 104960598720784 is 487027895069401.

The square root of 104960598720784 is 10245028.

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

It is an interprime number because it is at equal distance from previous prime (104960598720781) and next prime (104960598720787).

It can be written as a sum of positive squares in only one way, i.e., 47408347578384 + 57552251142400 = 6885372^2 + 7586320^2 .

It is a super-2 number, since 2×1049605987207842 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104960598720781) 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, 17908306014 + ... + 17908311874.

Almost surely, 2104960598720784 is an apocalyptic number.

104960598720784 is the 10245028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104960598720784

104960598720784 is an abundant number, since it is smaller than the sum of its proper divisors (119442757971605).

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

104960598720784 is an frugal number, since it uses more digits than its factorization.

104960598720784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11814 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 104960598720784 in words is "one hundred four trillion, nine hundred sixty billion, five hundred ninety-eight million, seven hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 361 368 437 529 722 874 1058 1444 1748 2116 2888 3496 4232 5776 5861 6992 8303 8464 10051 11722 16606 20102 23444 33212 40204 46888 66424 80408 93776 111359 132848 134803 160816 190969 222718 269606 381938 445436 539212 763876 890872 1078424 1527752 1781744 2115821 2156848 2561257 3055504 3100469 4231642 5122514 6200938 8463284 10245028 12401876 16926568 20490056 24803752 33853136 34351321 40980112 48663883 49607504 58908911 68702642 97327766 117817822 137405284 194655532 235635644 274810568 389311064 471271288 549621136 652675099 778622128 790080383 942542576 1119269309 1305350198 1580160766 2238538618 2610700396 3160321532 4477077236 5221400792 6320643064 8954154472 10442801584 12400826881 12641286128 15011527277 17908308944 18171848809 24801653762 30023054554 36343697618 49603307524 60046109108 72687395236 99206615048 120092218216 145374790472 198413230096 240184436432 285219018263 290749580944 345265127371 570438036526 690530254742 1140876073052 1381060509484 2281752146104 2762121018968 4563504292208 5524242037936 6560037420049 13120074840098 26240149680196 52480299360392 104960598720784