Search a number
-
+
77477316390 = 23251978575099
BaseRepresentation
bin100100000101000000…
…0100000011100100110
321101222112020110122200
41020022000200130212
52232133143111030
655331555435330
75411650215615
oct1101200403446
9241875213580
1077477316390
112a948a1a5a1
1213022bb5b46
1373c95c2916
143a6db0187c
152036cb1d60
hex120a020726

77477316390 has 96 divisors (see below), whose sum is σ = 202739565600. Its totient is φ = 20527729152.

The previous prime is 77477316359. The next prime is 77477316457. The reversal of 77477316390 is 9361377477.

77477316390 is a `hidden beast` number, since 7 + 7 + 477 + 3 + 163 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15192061 + ... + 15197159.

It is an arithmetic number, because the mean of its divisors is an integer number (2111870475).

Almost surely, 277477316390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77477316390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101369782800).

77477316390 is an abundant number, since it is smaller than the sum of its proper divisors (125262249210).

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

77477316390 is a wasteful number, since it uses less digits than its factorization.

77477316390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The spelling of 77477316390 in words is "seventy-seven billion, four hundred seventy-seven million, three hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 857 985 1182 1714 1773 1970 2571 2955 3546 4285 5099 5142 5910 7713 8570 8865 10198 12855 15297 15426 17730 25495 25710 30594 38565 45891 50990 76485 77130 91782 152970 168829 229455 337658 458910 506487 844145 1004503 1012974 1519461 1688290 2009006 2532435 3013509 3038922 4369843 5022515 5064870 6027018 7597305 8739686 9040527 10045030 13109529 15067545 15194610 18081054 21849215 26219058 30135090 39328587 43698430 45202635 65547645 78657174 90405270 131095290 196642935 393285870 860859071 1721718142 2582577213 4304295355 5165154426 7747731639 8608590710 12912886065 15495463278 25825772130 38738658195 77477316390