Search a number
-
+
31904750196 = 223211237874451
BaseRepresentation
bin11101101101101010…
…111101101001110100
310001100111102020102200
4131231222331221310
51010320104001241
622353513304500
72206425621264
oct355552755164
9101314366380
1031904750196
1112592444050
126224a05130
133015b9cb17
1417893cb7a4
15c6ae744b6
hex76dabda74

31904750196 has 144 divisors (see below), whose sum is σ = 91942276608. Its totient is φ = 9233928000.

The previous prime is 31904750183. The next prime is 31904750243. The reversal of 31904750196 is 69105740913.

31904750196 is a `hidden beast` number, since 3 + 1 + 90 + 475 + 0 + 1 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7165771 + ... + 7170221.

It is an arithmetic number, because the mean of its divisors is an integer number (638488032).

Almost surely, 231904750196 is an apocalyptic number.

31904750196 is a gapful number since it is divisible by the number (36) 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 31904750196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45971138304).

31904750196 is an abundant number, since it is smaller than the sum of its proper divisors (60037526412).

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

31904750196 is a wasteful number, since it uses less digits than its factorization.

31904750196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 31904750196 in words is "thirty-one billion, nine hundred four million, seven hundred fifty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 787 828 1012 1518 1574 2277 2361 3036 3148 4451 4554 4722 7083 8657 8902 9108 9444 13353 14166 17314 17804 18101 25971 26706 28332 34628 36202 40059 48961 51942 53412 54303 72404 77913 80118 97922 102373 103884 108606 146883 155826 160236 162909 195844 199111 204746 217212 293766 307119 311652 325818 398222 409492 440649 587532 597333 614238 651636 796444 881298 921357 1126103 1194666 1228476 1762596 1791999 1842714 2252206 2389332 3378309 3502937 3583998 3685428 4504412 6756618 7005874 7167996 10134927 10508811 13513236 14011748 20269854 21017622 31526433 38532307 40539708 42035244 63052866 77064614 80567551 115596921 126105732 154129228 161135102 231193842 241702653 322270204 346790763 462387684 483405306 693581526 725107959 886243061 966810612 1387163052 1450215918 1772486122 2658729183 2900431836 3544972244 5317458366 7976187549 10634916732 15952375098 31904750196