Search a number
-
+
107366163084 = 2232175922713099
BaseRepresentation
bin110001111111110000…
…1011010001010001100
3101021010112101012100200
41203333201122022030
53224341214204314
6121153501253500
710520430220425
oct1437741321214
9337115335320
10107366163084
1141596444494
1218984864290
13a18093a71b
1452a749464c
152bd5c81709
hex18ff85a28c

107366163084 has 144 divisors (see below), whose sum is σ = 293542704000. Its totient is φ = 32964208128.

The previous prime is 107366163083. The next prime is 107366163119. The reversal of 107366163084 is 480361663701.

107366163084 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 6 + 6 + 1 + 630 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (107366163083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8189967 + ... + 8203065.

It is an arithmetic number, because the mean of its divisors is an integer number (2038491000).

Almost surely, 2107366163084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107366163084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146771352000).

107366163084 is an abundant number, since it is smaller than the sum of its proper divisors (186176540916).

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

107366163084 is a wasteful number, since it uses less digits than its factorization.

107366163084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13412 (or 13407 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 107366163084 in words is "one hundred seven billion, three hundred sixty-six million, one hundred sixty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 227 236 306 354 454 531 612 681 708 908 1003 1062 1362 2006 2043 2124 2724 3009 3859 4012 4086 6018 7718 8172 9027 11577 12036 13099 13393 15436 18054 23154 26198 26786 34731 36108 39297 40179 46308 52396 53572 69462 78594 80358 117891 120537 138924 157188 160716 222683 227681 235782 241074 445366 455362 471564 482148 668049 683043 772841 890732 910724 1336098 1366086 1545682 2004147 2049129 2318523 2672196 2732172 2973473 3091364 4008294 4098258 4637046 5946946 6955569 8016588 8196516 8920419 9274092 11893892 13138297 13911138 17840838 26276594 26761257 27822276 35681676 39414891 50549041 52553188 53522514 78829782 101098082 107045028 118244673 151647123 157659564 175434907 202196164 236489346 303294246 350869814 454941369 472978692 526304721 606588492 701739628 909882738 1052609442 1578914163 1819765476 2105218884 2982393419 3157828326 5964786838 6315656652 8947180257 11929573676 17894360514 26841540771 35788721028 53683081542 107366163084