Search a number
-
+
72306703040432 = 2474432767526681
BaseRepresentation
bin10000011100001100110111…
…010110010111111110110000
3100111000110020110100101100112
4100130030313112113332300
533434133111434243212
6413441124003040452
721141662335665410
oct2034146726277660
9314013213311315
1072306703040432
112104811191a743
128139634670128
1331466539ca993
1413bd93d792640
15855ce388d422
hex41c337597fb0

72306703040432 has 80 divisors (see below), whose sum is σ = 160527415206912. Its totient is φ = 30907402606080.

The previous prime is 72306703040413. The next prime is 72306703040441. The reversal of 72306703040432 is 23404030760327.

It is a self number, because there is not a number n which added to its sum of digits gives 72306703040432.

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, 137024132 + ... + 137550812.

Almost surely, 272306703040432 is an apocalyptic number.

It is an amenable number.

72306703040432 is an abundant number, since it is smaller than the sum of its proper divisors (88220712166480).

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

72306703040432 is a wasteful number, since it uses less digits than its factorization.

72306703040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529906 (or 529900 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 41.

The spelling of 72306703040432 in words is "seventy-two trillion, three hundred six billion, seven hundred three million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 443 886 1772 2767 3101 3544 5534 6202 7088 11068 12404 19369 22136 24808 38738 44272 49616 77476 154952 309904 526681 1053362 1225781 2106724 2451562 3686767 4213448 4903124 7373534 8426896 8580467 9806248 14747068 17160934 19612496 29494136 34321868 58988272 68643736 137287472 233319683 466639366 933278732 1457326327 1633237781 1866557464 2914652654 3266475562 3733114928 5829305308 6532951124 10201284289 11658610616 13065902248 20402568578 23317221232 26131804496 40805137156 81610274312 163220548624 645595562861 1291191125722 2582382251444 4519168940027 5164764502888 9038337880054 10329529005776 18076675760108 36153351520216 72306703040432