Search a number
-
+
147008580115337 = 23531392521934403
BaseRepresentation
bin100001011011010000011010…
…001100100101101110001001
3201021111212211201012112111222
4201123100122030211232021
5123232042033002142322
61240354450454131425
742652006442236643
oct4133203214455611
9637455751175458
10147008580115337
1142928a96a731a6
12145a32b8050b75
136404b07804c45
142843378c79893
1511ee06d0c6e42
hex85b41a325b89

147008580115337 has 32 divisors (see below), whose sum is σ = 157429841587200. Its totient is φ = 136961796134592.

The previous prime is 147008580115219. The next prime is 147008580115343. The reversal of 147008580115337 is 733511085800741.

It is a happy number.

It is not a de Polignac number, because 147008580115337 - 230 = 147007506373513 is a prime.

It is a super-2 number, since 2×1470085801153372 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147008580115357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4273115378 + ... + 4273149780.

It is an arithmetic number, because the mean of its divisors is an integer number (4919682549600).

Almost surely, 2147008580115337 is an apocalyptic number.

It is an amenable number.

147008580115337 is a deficient number, since it is larger than the sum of its proper divisors (10421261471863).

147008580115337 is a wasteful number, since it uses less digits than its factorization.

147008580115337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59837.

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 147008580115337 in words is "one hundred forty-seven trillion, eight billion, five hundred eighty million, one hundred fifteen thousand, three hundred thirty-seven".

Divisors: 1 23 53 139 1219 3197 7367 25219 34403 169441 580037 791269 1336607 1823359 3505441 4782017 30741961 41937257 80625143 109986391 185788373 253446901 867609257 4273132579 5829278723 19955012911 45983290621 120597686723 1057615684283 2773746794629 6391677396319 147008580115337