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114652727604 = 2232311131815023
BaseRepresentation
bin110101011000111010…
…1011100100100110100
3101221221100100000202200
41222301311130210310
53334302044240404
6124400513504500
711166126050652
oct1526165344464
9357840300680
10114652727604
1144695526238
121a278b72130
13aa72418c6c
1457990c7dd2
152eb0803839
hex1ab1d5c934

114652727604 has 144 divisors (see below), whose sum is σ = 303540916224. Its totient is φ = 36447667200.

The previous prime is 114652727603. The next prime is 114652727611. The reversal of 114652727604 is 406727256411.

114652727604 is a `hidden beast` number, since 1 + 1 + 46 + 527 + 27 + 60 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114652727604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114652727603) 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, 22823037 + ... + 22828059.

Almost surely, 2114652727604 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 114652727604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151770458112).

114652727604 is an abundant number, since it is smaller than the sum of its proper divisors (188888188620).

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

114652727604 is a wasteful number, since it uses less digits than its factorization.

114652727604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 114652727604 in words is "one hundred fourteen billion, six hundred fifty-two million, seven hundred twenty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 113 124 181 186 226 279 339 362 372 452 543 558 678 724 1017 1086 1116 1356 1629 2034 2172 3258 3503 4068 5023 5611 6516 7006 10046 10509 11222 14012 15069 16833 20092 20453 21018 22444 30138 31527 33666 40906 42036 45207 50499 60276 61359 63054 67332 81812 90414 100998 122718 126108 155713 180828 184077 201996 245436 311426 368154 467139 567599 622852 634043 736308 909163 934278 1135198 1268086 1401417 1702797 1818326 1868556 1902129 2270396 2536172 2727489 2802834 3405594 3636652 3804258 5108391 5454978 5605668 5706387 6811188 7608516 8182467 10216782 10909956 11412774 16364934 17595569 20433564 22825548 28184053 32729868 35191138 52786707 56368106 70382276 84552159 102735419 105573414 112736212 158360121 169104318 205470838 211146828 253656477 308206257 316720242 338208636 410941676 507312954 616412514 633440484 924618771 1014625908 1232825028 1849237542 3184797989 3698475084 6369595978 9554393967 12739191956 19108787934 28663181901 38217575868 57326363802 114652727604