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5890504416768 = 293210091266919
BaseRepresentation
bin101010110110111110101…
…1011000101111000000000
3202212010102101021121020200
41111231331123011320000
51233002223112314033
620310021012405200
71145401122261426
oct125557533057000
922763371247220
105890504416768
1119711701a6104
127b1752016800
1333961a50346a
1416515d9d1116
15a335b2cc013
hex55b7d6c5e00

5890504416768 has 120 divisors (see below), whose sum is σ = 17017256770800. Its totient is φ = 1961553936384.

The previous prime is 5890504416767. The next prime is 5890504416773. The reversal of 5890504416768 is 8676144050985.

5890504416768 is a `hidden beast` number, since 5 + 8 + 9 + 0 + 504 + 4 + 1 + 67 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5890504416761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4016013 + ... + 5282931.

It is an arithmetic number, because the mean of its divisors is an integer number (141810473090).

Almost surely, 25890504416768 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 5890504416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8508628385400).

5890504416768 is an abundant number, since it is smaller than the sum of its proper divisors (11126752354032).

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

5890504416768 is a wasteful number, since it uses less digits than its factorization.

5890504416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267952 (or 1267933 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 5890504416768 in words is "five trillion, eight hundred ninety billion, five hundred four million, four hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1009 1152 1536 2018 2304 3027 4036 4608 6054 8072 9081 12108 16144 18162 24216 32288 36324 48432 64576 72648 96864 129152 145296 193728 258304 290592 387456 516608 581184 774912 1162368 1266919 1549824 2324736 2533838 3800757 4649472 5067676 7601514 10135352 11402271 15203028 20270704 22804542 30406056 40541408 45609084 60812112 81082816 91218168 121624224 162165632 182436336 243248448 324331264 364872672 486496896 648662528 729745344 972993792 1278321271 1459490688 1945987584 2556642542 2918981376 3834963813 5113285084 5837962752 7669927626 10226570168 11504891439 15339855252 20453140336 23009782878 30679710504 40906280672 46019565756 61359421008 81812561344 92039131512 122718842016 163625122688 184078263024 245437684032 327250245376 368156526048 490875368064 654500490752 736313052096 981750736128 1472626104192 1963501472256 2945252208384 5890504416768