Search a number
-
+
2991780871992 = 23321121013400091
BaseRepresentation
bin101011100010010100000…
…010010011111100111000
3101121000022100112022102200
4223202110002103330320
5343004131400400432
610210223303030200
7426102055551543
oct53422402237470
911530270468380
102991780871992
11a53897341200
124039b143b360
1318917ba96253
14a4b354ab85a
1552c52db1a7c
hex2b894093f38

2991780871992 has 144 divisors (see below), whose sum is σ = 8994501374040. Its totient is φ = 897623760000.

The previous prime is 2991780871967. The next prime is 2991780872029.

2991780871992 is a `hidden beast` number, since 299 + 1 + 78 + 0 + 87 + 199 + 2 = 666.

2991780871992 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2991780871992.

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 35 ways as a sum of consecutive naturals, for example, 820134 + ... + 2579957.

Almost surely, 22991780871992 is an apocalyptic number.

2991780871992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2991780871992 is an abundant number, since it is smaller than the sum of its proper divisors (6002720502048).

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

2991780871992 is a wasteful number, since it uses less digits than its factorization.

2991780871992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400226 (or 3400208 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 2991780871992 in words is "two trillion, nine hundred ninety-one billion, seven hundred eighty million, eight hundred seventy-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 121 132 198 202 242 264 303 363 396 404 484 606 726 792 808 909 968 1089 1111 1212 1452 1818 2178 2222 2424 2904 3333 3636 4356 4444 6666 7272 8712 8888 9999 12221 13332 19998 24442 26664 36663 39996 48884 73326 79992 97768 109989 146652 219978 293304 439956 879912 3400091 6800182 10200273 13600364 20400546 27200728 30600819 37401001 40801092 61201638 74802002 81602184 112203003 122403276 149604004 224406006 244806552 299208008 336609009 343409191 411411011 448812012 673218018 686818382 822822022 897624024 1030227573 1234233033 1346436036 1373636764 1645644044 2060455146 2468466066 2692872072 2747273528 3090682719 3291288088 3702699099 3777501101 4120910292 4936932132 6181365438 7405398198 7555002202 8241820584 9873864264 11332503303 12362730876 14810796396 15110004404 22665006606 24725461752 29621592792 30220008808 33997509909 41552512111 45330013212 67995019818 83105024222 90660026424 124657536333 135990039636 166210048444 249315072666 271980079272 332420096888 373972608999 498630145332 747945217998 997260290664 1495890435996 2991780871992