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78304059904 = 29759675527
BaseRepresentation
bin100100011101101001…
…0010010001000000000
321111010010220101112211
41020323102102020000
52240331314404104
655550011431504
75441306345560
oct1107322221000
9244103811484
1078304059904
11302326671a4
1213213a55594
1374cb97a475
143b0b82cda0
15208466ce04
hex123b492200

78304059904 has 160 divisors (see below), whose sum is σ = 184583900160. Its totient is φ = 32491819008.

The previous prime is 78304059881. The next prime is 78304059973. The reversal of 78304059904 is 40995040387.

It is a super-2 number, since 2×783040599042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14164789 + ... + 14170315.

It is an arithmetic number, because the mean of its divisors is an integer number (1153649376).

Almost surely, 278304059904 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 78304059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92291950080).

78304059904 is an abundant number, since it is smaller than the sum of its proper divisors (106279840256).

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

78304059904 is an equidigital number, since it uses as much as digits as its factorization.

78304059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 78304059904 in words is "seventy-eight billion, three hundred four million, fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 67 112 118 128 134 224 236 256 268 413 448 469 472 512 536 826 896 938 944 1072 1652 1792 1876 1888 2144 3304 3584 3752 3776 3953 4288 5527 6608 7504 7552 7906 8576 11054 13216 15008 15104 15812 17152 22108 26432 27671 30016 30208 31624 34304 38689 44216 52864 55342 60032 63248 77378 88432 105728 110684 120064 126496 154756 176864 211456 221368 240128 252992 309512 326093 353728 370309 442736 505984 619024 652186 707456 740618 885472 1011968 1238048 1304372 1414912 1481236 1770944 2023936 2282651 2476096 2592163 2608744 2829824 2962472 3541888 4565302 4952192 5184326 5217488 5924944 7083776 9130604 9904384 10368652 10434976 11849888 14167552 18261208 19808768 20737304 20869952 21848231 23699776 36522416 41474608 41739904 43696462 47399552 73044832 82949216 83479808 87392924 94799104 146089664 152937617 165898432 166959616 174785848 189598208 292179328 305875234 331796864 349571696 584358656 611750468 663593728 699143392 1168717312 1223500936 1327187456 1398286784 2447001872 2796573568 4894003744 5593147136 9788007488 11186294272 19576014976 39152029952 78304059904