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78485792703816 = 23343671319860581
BaseRepresentation
bin10001110110000111100101…
…110010110100010101001000
3101021220011112211200110102110
4101312013211302310111020
540241402400413010231
6434531513031102320
722350261052350231
oct2166074562642510
9337804484613373
1078485792703816
112300a701951963
1289770a52119a0
1334a42421c97a4
141554a384d0088
159118e0160046
hex4761e5cb4548

78485792703816 has 128 divisors (see below), whose sum is σ = 203929018444800. Its totient is φ = 25153004701440.

The previous prime is 78485792703751. The next prime is 78485792703817. The reversal of 78485792703816 is 61830729758487.

It is not an unprimeable number, because it can be changed into a prime (78485792703817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90770646 + ... + 91631226.

It is an arithmetic number, because the mean of its divisors is an integer number (1593195456600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅78485792703816 = 156971585407632, but 3⋅78485792703816 = 235457378111448 is not.

Almost surely, 278485792703816 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 78485792703816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101964509222400).

78485792703816 is an abundant number, since it is smaller than the sum of its proper divisors (125443225740984).

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

78485792703816 is a wasteful number, since it uses less digits than its factorization.

78485792703816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862019 (or 862015 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 75.

The spelling of 78485792703816 in words is "seventy-eight trillion, four hundred eighty-five billion, seven hundred ninety-two million, seven hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 67 86 129 134 172 201 258 268 344 402 516 536 804 1032 1319 1608 2638 2881 3957 5276 5762 7914 8643 10552 11524 15828 17286 23048 31656 34572 56717 69144 88373 113434 170151 176746 226868 265119 340302 353492 453736 530238 680604 706984 860581 1060476 1361208 1721162 2120952 2581743 3442324 3800039 5163486 6884648 7600078 10326972 11400117 15200156 20653944 22800234 30400312 37004983 45600468 57658927 74009966 91200936 111014949 115317854 148019932 172976781 222029898 230635708 296039864 345953562 444059796 461271416 691907124 888119592 1135106339 1383814248 2270212678 2479333861 3405319017 4540425356 4958667722 6810638034 7438001583 9080850712 9917335444 13621276068 14876003166 19834670888 27242552136 29752006332 48809572577 59504012664 76052124713 97619145154 146428717731 152104249426 195238290308 228156374139 292857435462 304208498852 390476580616 456312748278 585714870924 608416997704 912625496556 1171429741848 1825250993112 3270241362659 6540482725318 9810724087977 13080965450636 19621448175954 26161930901272 39242896351908 78485792703816