Search a number
-
+
70657406393616 = 2432721000692
BaseRepresentation
bin10000000100001100110101…
…100110111101110100010000
3100021011210010010201202221100
4100010030311212331310100
533230122332014043431
6410135321524024400
720611554253544100
oct2004146546756420
9307153103652840
1070657406393616
1120571701968929
127b11a66532100
133056c70979653
141363b9dd43200
15827e6454a4e6
hex4043359bdd10

70657406393616 has 135 divisors (see below), whose sum is σ = 230029407872901. Its totient is φ = 20187628659072.

The previous prime is 70657406393611. The next prime is 70657406393641. The reversal of 70657406393616 is 61639360475607.

It is a happy number.

The square root of 70657406393616 is 8405796.

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

70657406393616 is a `hidden beast` number, since 7 + 0 + 6 + 5 + 7 + 4 + 0 + 6 + 3 + 9 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59892182912016 + 10765223481600 = 7739004^2 + 3281040^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (70657406393611) 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, 706036830 + ... + 706136898.

Almost surely, 270657406393616 is an apocalyptic number.

70657406393616 is the 8405796-th square number.

It is an amenable number.

70657406393616 is an abundant number, since it is smaller than the sum of its proper divisors (159372001479285).

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

70657406393616 is an frugal number, since it uses more digits than its factorization.

70657406393616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200166 (or 100081 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 70657406393616 in words is "seventy trillion, six hundred fifty-seven billion, four hundred six million, three hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 100069 200138 300207 400276 600414 700483 800552 900621 1200828 1400966 1601104 1801242 2101449 2401656 2801932 3602484 4202898 4803312 4903381 5603864 6304347 7204968 8405796 9806762 11207728 12608694 14409936 14710143 16811592 19613524 25217388 29420286 33623184 39227048 44130429 50434776 58840572 78454096 88260858 100869552 117681144 176521716 235362288 353043432 706086864 10013804761 20027609522 30041414283 40055219044 60082828566 70096633327 80110438088 90124242849 120165657132 140193266654 160220876176 180248485698 210289899981 240331314264 280386533308 360496971396 420579799962 480662628528 490676433289 560773066616 630869699943 720993942792 841159599924 981352866578 1121546133232 1261739399886 1441987885584 1472029299867 1682319199848 1962705733156 2523478799772 2944058599734 3364638399696 3925411466312 4416087899601 5046957599544 5888117199468 7850822932624 8832175799202 10093915199088 11776234398936 17664351598404 23552468797872 35328703196808 70657406393616