Search a number
-
+
427597299920 = 2457292907927
BaseRepresentation
bin1100011100011101100…
…10010000000011010000
31111212200222202110111002
412032032302100003100
524001204402044140
6524234022041132
742615155036240
oct6161662200320
91455628673432
10427597299920
1115538558a28a
126aa555791a8
1331425cb07cb
14169a5487b20
15b1c9616415
hex638ec900d0

427597299920 has 120 divisors (see below), whose sum is σ = 1176718268544. Its totient is φ = 141549295104.

The previous prime is 427597299901. The next prime is 427597299937. The reversal of 427597299920 is 29992795724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16997 + ... + 924923.

Almost surely, 2427597299920 is an apocalyptic number.

427597299920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427597299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588359134272).

427597299920 is an abundant number, since it is smaller than the sum of its proper divisors (749120968624).

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

427597299920 is a wasteful number, since it uses less digits than its factorization.

427597299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908005 (or 907970 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 65.

The spelling of 427597299920 in words is "four hundred twenty-seven billion, five hundred ninety-seven million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 841 1015 1160 1624 1682 2030 2320 3248 3364 4060 4205 5887 6728 8120 8410 11774 13456 16240 16820 23548 29435 33640 47096 58870 67280 94192 117740 235480 470960 907927 1815854 3631708 4539635 6355489 7263416 9079270 12710978 14526832 18158540 25421956 26329883 31777445 36317080 50843912 52659766 63554890 72634160 101687824 105319532 127109780 131649415 184309181 210639064 254219560 263298830 368618362 421278128 508439120 526597660 737236724 763566607 921545905 1053195320 1474473448 1527133214 1843091810 2106390640 2948946896 3054266428 3686183620 3817833035 5344966249 6108532856 7372367240 7635666070 10689932498 12217065712 14744734480 15271332140 21379864996 26724831245 30542664280 42759729992 53449662490 61085328560 85519459984 106899324980 213798649960 427597299920