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53468196192 = 25322574611567
BaseRepresentation
bin110001110010111100…
…111110110101100000
312010000021211210101200
4301302330332311200
51334000324234232
640321333001200
73601664111625
oct616274766540
9163007753350
1053468196192
11207484481a4
12a442483200
135071452318
1428331b034c
1515ce0bd77c
hexc72f3ed60

53468196192 has 144 divisors (see below), whose sum is σ = 153070549632. Its totient is φ = 17703567360.

The previous prime is 53468196157. The next prime is 53468196233. The reversal of 53468196192 is 29169186435.

53468196192 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 8 + 19 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34120593 + ... + 34122159.

It is an arithmetic number, because the mean of its divisors is an integer number (1062989928).

Almost surely, 253468196192 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 53468196192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535274816).

53468196192 is an abundant number, since it is smaller than the sum of its proper divisors (99602353440).

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

53468196192 is a wasteful number, since it uses less digits than its factorization.

53468196192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2290 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 53468196192 in words is "fifty-three billion, four hundred sixty-eight million, one hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 257 288 461 514 771 922 1028 1383 1542 1567 1844 2056 2313 2766 3084 3134 3688 4112 4149 4626 4701 5532 6168 6268 7376 8224 8298 9252 9402 11064 12336 12536 14103 14752 16596 18504 18804 22128 24672 25072 28206 33192 37008 37608 44256 50144 56412 66384 74016 75216 112824 118477 132768 150432 225648 236954 355431 402719 451296 473908 710862 722387 805438 947816 1066293 1208157 1421724 1444774 1610876 1895632 2132586 2167161 2416314 2843448 2889548 3221752 3624471 3791264 4265172 4334322 4832628 5686896 5779096 6443504 6501483 7248942 8530344 8668644 9665256 11373792 11558192 12887008 13002966 14497884 17060688 17337288 19330512 23116384 26005932 28995768 34121376 34674576 38661024 52011864 57991536 69349152 104023728 115983072 185653459 208047456 371306918 556960377 742613836 1113920754 1485227672 1670881131 2227841508 2970455344 3341762262 4455683016 5940910688 6683524524 8911366032 13367049048 17822732064 26734098096 53468196192