Search a number
-
+
77108361264 = 24331121475137
BaseRepresentation
bin100011111010000000…
…1000011100000110000
321101000210222121101000
41013310001003200300
52230404220030024
655231215442000
75366550153654
oct1076401034060
9241023877330
1077108361264
112a779729100
1212b3b526300
13736b030a8c
143a36adca64
1520146d1cc9
hex11f4043830

77108361264 has 120 divisors (see below), whose sum is σ = 243279758960. Its totient is φ = 23366154240.

The previous prime is 77108361259. The next prime is 77108361287. The reversal of 77108361264 is 46216380177.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685297 + ... + 789840.

Almost surely, 277108361264 is an apocalyptic number.

It is an amenable number.

77108361264 is an abundant number, since it is smaller than the sum of its proper divisors (166171397696).

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

77108361264 is a wasteful number, since it uses less digits than its factorization.

77108361264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475176 (or 1475153 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 77108361264 in words is "seventy-seven billion, one hundred eight million, three hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 26136 52272 1475137 2950274 4425411 5900548 8850822 11801096 13276233 16226507 17701644 23602192 26552466 32453014 35403288 39828699 48679521 53104932 64906028 70806576 79657398 97359042 106209864 129812056 146038563 159314796 178491577 194718084 212419728 259624112 292077126 318629592 356983154 389436168 438115689 535474731 584154252 637259184 713966308 778872336 876231378 1070949462 1168308504 1427932616 1606424193 1752462756 2141898924 2336617008 2855865232 3212848386 3504925512 4283797848 4819272579 6425696772 7009851024 8567595696 9638545158 12851393544 19277090316 25702787088 38554180632 77108361264