Search a number
-
+
11983339920 = 2435122940627
BaseRepresentation
bin10110010100100001…
…10100000110010000
31010221010202202000110
423022100310012100
5144020213334140
65301032321320
7602646465036
oct131220640620
933833682013
1011983339920
11509a312712
1223a5243240
13118c8806a6
14819722556
154a207e380
hex2ca434190

11983339920 has 80 divisors (see below), whose sum is σ = 37179495360. Its totient is φ = 3192878592.

The previous prime is 11983339877. The next prime is 11983339937. The reversal of 11983339920 is 2993338911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11983339920.

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, 274647 + ... + 315273.

It is an arithmetic number, because the mean of its divisors is an integer number (464743692).

Almost surely, 211983339920 is an apocalyptic number.

11983339920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11983339920 is an abundant number, since it is smaller than the sum of its proper divisors (25196155440).

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

11983339920 is a wasteful number, since it uses less digits than its factorization.

11983339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41872 (or 41866 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 11983339920 in words is "eleven billion, nine hundred eighty-three million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1229 2458 3687 4916 6145 7374 9832 12290 14748 18435 19664 24580 29496 36870 40627 49160 58992 73740 81254 98320 121881 147480 162508 203135 243762 294960 325016 406270 487524 609405 650032 812540 975048 1218810 1625080 1950096 2437620 3250160 4875240 9750480 49930583 99861166 149791749 199722332 249652915 299583498 399444664 499305830 599166996 748958745 798889328 998611660 1198333992 1497917490 1997223320 2396667984 2995834980 3994446640 5991669960 11983339920