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77381685248 = 21273797121
BaseRepresentation
bin100100000010001001…
…1101101000000000000
321101201212021220101112
41020010103231000000
52231434202411443
655314302022452
75406406320620
oct1100423550000
9241655256345
1077381685248
112a8a9a4249a
1212bb6b77a28
1373b284b84a
143a6112a880
15202d6c1b18
hex12044ed000

77381685248 has 104 divisors (see below), whose sum is σ = 177342358080. Its totient is φ = 33071431680.

The previous prime is 77381685247. The next prime is 77381685253. The reversal of 77381685248 is 84258618377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77381685247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10863128 + ... + 10870248.

Almost surely, 277381685248 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 77381685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88671179040).

77381685248 is an abundant number, since it is smaller than the sum of its proper divisors (99960672832).

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

77381685248 is an equidigital number, since it uses as much as digits as its factorization.

77381685248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7509 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 59.

The spelling of 77381685248 in words is "seventy-seven billion, three hundred eighty-one million, six hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 379 448 512 758 896 1024 1516 1792 2048 2653 3032 3584 4096 5306 6064 7121 7168 10612 12128 14242 14336 21224 24256 28484 28672 42448 48512 49847 56968 84896 97024 99694 113936 169792 194048 199388 227872 339584 388096 398776 455744 679168 776192 797552 911488 1358336 1552384 1595104 1822976 2698859 2716672 3190208 3645952 5397718 5433344 6380416 7291904 10795436 10866688 12760832 14583808 18892013 21590872 25521664 29167616 37784026 43181744 51043328 75568052 86363488 102086656 151136104 172726976 204173312 302272208 345453952 604544416 690907904 1209088832 1381815808 2418177664 2763631616 4836355328 5527263232 9672710656 11054526464 19345421312 38690842624 77381685248