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2816863401420 = 2232547977340801
BaseRepresentation
bin101000111111011010001…
…001000111010111001100
3100222021211001110010211200
4220333122021013113030
5332122414012321140
65554014342345500
7410340333565515
oct50773211072714
910867731403750
102816863401420
11996696a55672
12395b15a2b290
13175824118083
149a4a06d7a0c
154d4169b3030
hex28fda2475cc

2816863401420 has 144 divisors (see below), whose sum is σ = 8735240562048. Its totient is φ = 734426726400.

The previous prime is 2816863401371. The next prime is 2816863401421. The reversal of 2816863401420 is 241043686182.

2816863401420 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 8 + 634 + 0 + 1 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2816863401421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8095020 + ... + 8435820.

It is an arithmetic number, because the mean of its divisors is an integer number (60661392792).

Almost surely, 22816863401420 is an apocalyptic number.

2816863401420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816863401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367620281024).

2816863401420 is an abundant number, since it is smaller than the sum of its proper divisors (5918377160628).

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

2816863401420 is a wasteful number, since it uses less digits than its factorization.

2816863401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341840 (or 341835 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2816863401420 in words is "two trillion, eight hundred sixteen billion, eight hundred sixty-three million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 977 1410 1692 1954 2115 2820 2931 3908 4230 4885 5862 8460 8793 9770 11724 14655 17586 19540 29310 35172 43965 45919 58620 87930 91838 137757 175860 183676 229595 275514 340801 413271 459190 551028 681602 688785 826542 918380 1022403 1363204 1377570 1653084 1704005 2044806 2066355 2755140 3067209 3408010 4089612 4132710 5112015 6134418 6816020 8265420 10224030 12268836 15336045 16017647 20448060 30672090 32035294 48052941 61344180 64070588 80088235 96105882 144158823 160176470 192211764 240264705 288317646 320352940 332962577 480529410 576635292 665925154 720794115 961058820 998887731 1331850308 1441588230 1664812885 1997775462 2883176460 2996663193 3329625770 3995550924 4994438655 5993326386 6659251540 9988877310 11986652772 14983315965 15649241119 19977754620 29966631930 31298482238 46947723357 59933263860 62596964476 78246205595 93895446714 140843170071 156492411190 187790893428 234738616785 281686340142 312984822380 469477233570 563372680284 704215850355 938954467140 1408431700710 2816863401420