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78316254976 = 281767337797
BaseRepresentation
bin100100011110000000…
…0110011011100000000
321111010222211222001011
41020330000303130000
52240342430124401
655551125050304
75441515116661
oct1107400633400
9244128758034
1078316254976
1130239536573
1213217b56994
13750135a19b
143b0d2c5368
15208577b451
hex123c033700

78316254976 has 144 divisors (see below), whose sum is σ = 168702651936. Its totient is φ = 36151492608.

The previous prime is 78316254941. The next prime is 78316254997. The reversal of 78316254976 is 67945261387.

It is a super-2 number, since 2×783162549762 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78316254976.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98263410 + ... + 98264206.

It is an arithmetic number, because the mean of its divisors is an integer number (1171546194).

Almost surely, 278316254976 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 78316254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84351325968).

78316254976 is an abundant number, since it is smaller than the sum of its proper divisors (90386396960).

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

78316254976 is a wasteful number, since it uses less digits than its factorization.

78316254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1220 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 78316254976 in words is "seventy-eight billion, three hundred sixteen million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 256 268 272 337 536 544 674 797 1072 1088 1139 1348 1594 2144 2176 2278 2696 3188 4288 4352 4556 5392 5729 6376 8576 9112 10784 11458 12752 13549 17152 18224 21568 22579 22916 25504 27098 36448 43136 45158 45832 51008 53399 54196 72896 86272 90316 91664 102016 106798 108392 145792 180632 183328 204032 213596 216784 268589 291584 361264 366656 383843 427192 433568 537178 722528 733312 767686 854384 867136 907783 1074356 1445056 1466624 1535372 1708768 1734272 1815566 2148712 2890112 3070744 3417536 3468544 3631132 4297424 4566013 5780224 6141488 6835072 7262264 8594848 9132026 12282976 13670144 14524528 17189696 17995463 18264052 24565952 29049056 34379392 35990926 36528104 49131904 58098112 68758784 71981852 73056208 98263808 116196224 143963704 146112416 232392448 287927408 292224832 305922871 575854816 584449664 611845742 1151709632 1168899328 1223691484 2303419264 2447382968 4606838528 4894765936 9789531872 19579063744 39158127488 78316254976