Search a number
-
+
1631620968732 = 2232193491683303
BaseRepresentation
bin10111101111100100001…
…100000011000100011100
312202222111110201010102100
4113233210030003010130
5203213024431444412
63245320055525100
7225611042255166
oct27574414030434
95688443633370
101631620968732
11579a6a5562a7
12224276689790
13bab27086221
1458d84127936
152c69769eedc
hex17be430311c

1631620968732 has 72 divisors (see below), whose sum is σ = 4342697573760. Its totient is φ = 515100379680.

The previous prime is 1631620968727. The next prime is 1631620968743. The reversal of 1631620968732 is 2378690261361.

1631620968732 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 620 + 9 + 6 + 8 + 7 + 3 + 2 = 666.

It is a super-3 number, since 3×16316209687323 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2046193 + ... + 2729495.

It is an arithmetic number, because the mean of its divisors is an integer number (60315244080).

Almost surely, 21631620968732 is an apocalyptic number.

1631620968732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1631620968732 is an abundant number, since it is smaller than the sum of its proper divisors (2711076605028).

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

1631620968732 is a wasteful number, since it uses less digits than its factorization.

1631620968732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686823 (or 686818 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1631620968732 in words is "one trillion, six hundred thirty-one billion, six hundred twenty million, nine hundred sixty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3491 6982 10473 13964 20946 31419 41892 62838 66329 125676 132658 198987 265316 397974 596961 683303 795948 1193922 1366606 2049909 2387844 2733212 4099818 6149727 8199636 12299454 12982757 24598908 25965514 38948271 51931028 77896542 116844813 155793084 233689626 467379252 2385410773 4770821546 7156232319 9541643092 14312464638 21468696957 28624929276 42937393914 45322804687 85874787828 90645609374 135968414061 181291218748 271936828122 407905242183 543873656244 815810484366 1631620968732