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78068882944 = 2913171936313
BaseRepresentation
bin100100010110101000…
…1001001111000000000
321110111202101011102001
41020231101021320000
52234341113223234
655510411033344
75432422361503
oct1105521117000
9243452334361
1078068882944
1130121938278
121316913b854
1374920279c0
143ac84d113a
15206dbb5d14
hex122d449e00

78068882944 has 160 divisors (see below), whose sum is σ = 187232078880. Its totient is φ = 32126533632.

The previous prime is 78068882939. The next prime is 78068882951. The reversal of 78068882944 is 44928886087.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 2131732 + ... + 2168044.

It is an arithmetic number, because the mean of its divisors is an integer number (1170200493).

Almost surely, 278068882944 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 78068882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93616039440).

78068882944 is an abundant number, since it is smaller than the sum of its proper divisors (109163195936).

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

78068882944 is a wasteful number, since it uses less digits than its factorization.

78068882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36380 (or 36364 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 64.

The spelling of 78068882944 in words is "seventy-eight billion, sixty-eight million, eight hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 64 68 76 104 128 136 152 208 221 247 256 272 304 323 416 442 494 512 544 608 646 832 884 988 1088 1216 1292 1664 1768 1976 2176 2432 2584 3328 3536 3952 4199 4352 4864 5168 6656 7072 7904 8398 8704 9728 10336 14144 15808 16796 20672 28288 31616 33592 36313 41344 56576 63232 67184 72626 82688 113152 126464 134368 145252 165376 268736 290504 472069 537472 581008 617321 689947 944138 1074944 1162016 1234642 1379894 1888276 2149888 2324032 2469284 2759788 3776552 4648064 4938568 5519576 7553104 8025173 8969311 9296128 9877136 11039152 11729099 15106208 16050346 17938622 18592256 19754272 22078304 23458198 30212416 32100692 35877244 39508544 44156608 46916396 60424832 64201384 71754488 79017088 88313216 93832792 120849664 128402768 143508976 152478287 158034176 176626432 187665584 241699328 256805536 287017952 304956574 316068352 353252864 375331168 513611072 574035904 609913148 750662336 1027222144 1148071808 1219826296 1501324672 2054444288 2296143616 2439652592 3002649344 4108888576 4592287232 4879305184 6005298688 9758610368 19517220736 39034441472 78068882944