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2284864075680 = 25356361748331
BaseRepresentation
bin100001001111111100100…
…000101111011110100000
322002102122002212020220120
4201033330200233132200
5244413400200410210
64505352502440240
7324035030124234
oct41177440573640
98072562766816
102284864075680
1180100722811a
1230a9a4433080
13137600635a34
147c8337085c4
153e67b978270
hex213fc82f7a0

2284864075680 has 96 divisors (see below), whose sum is σ = 7198462934208. Its totient is φ = 609200486400.

The previous prime is 2284864075673. The next prime is 2284864075709. The reversal of 2284864075680 is 865704684822.

2284864075680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2679115 + ... + 3427445.

It is an arithmetic number, because the mean of its divisors is an integer number (74983988898).

Almost surely, 22284864075680 is an apocalyptic number.

2284864075680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284864075680 is an abundant number, since it is smaller than the sum of its proper divisors (4913598858528).

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

2284864075680 is a wasteful number, since it uses less digits than its factorization.

2284864075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754710 (or 754702 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 2284864075680 in words is "two trillion, two hundred eighty-four billion, eight hundred sixty-four million, seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6361 12722 19083 25444 31805 38166 50888 63610 76332 95415 101776 127220 152664 190830 203552 254440 305328 381660 508880 610656 748331 763320 1017760 1496662 1526640 2244993 2993324 3053280 3741655 4489986 5986648 7483310 8979972 11224965 11973296 14966620 17959944 22449930 23946592 29933240 35919888 44899860 59866480 71839776 89799720 119732960 179599440 359198880 4760133491 9520266982 14280400473 19040533964 23800667455 28560800946 38081067928 47601334910 57121601892 71402002365 76162135856 95202669820 114243203784 142804004730 152324271712 190405339640 228486407568 285608009460 380810679280 456972815136 571216018920 761621358560 1142432037840 2284864075680