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5978364793440 = 253513958071281
BaseRepresentation
bin101011011111111001001…
…0011110101001001100000
3210011112012112002011221120
41112333302103311021200
51240422142341342230
620414231201252240
71154631311202204
oct126776223651140
923145175064846
105978364793440
1119a5457085556
12806792334080
133449acc73620
141694d668ab04
15a579e8b6310
hex56ff24f5260

5978364793440 has 96 divisors (see below), whose sum is σ = 20280452897376. Its totient is φ = 1471597486080.

The previous prime is 5978364793367. The next prime is 5978364793447. The reversal of 5978364793440 is 443974638795.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978364793447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479029401 + ... + 479041880.

It is an arithmetic number, because the mean of its divisors is an integer number (211254717681).

Almost surely, 25978364793440 is an apocalyptic number.

It is an amenable number.

5978364793440 is an abundant number, since it is smaller than the sum of its proper divisors (14302088103936).

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

5978364793440 is a wasteful number, since it uses less digits than its factorization.

5978364793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958071312 (or 958071304 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 69.

The spelling of 5978364793440 in words is "five trillion, nine hundred seventy-eight billion, three hundred sixty-four million, seven hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 958071281 1916142562 2874213843 3832285124 4790356405 5748427686 7664570248 9580712810 11496855372 12454926653 14371069215 15329140496 19161425620 22993710744 24909853306 28742138430 30658280992 37364779959 38322851240 45987421488 49819706612 57484276860 62274633265 74729559918 76645702480 91974842976 99639413224 114968553720 124549266530 149459119836 153291404960 186823899795 199278826448 229937107440 249098533060 298918239672 373647799590 398557652896 459874214880 498197066120 597836479344 747295599180 996394132240 1195672958688 1494591198360 1992788264480 2989182396720 5978364793440