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4073680710144 = 2932979113869
BaseRepresentation
bin111011010001111010010…
…010101010101000000000
3112102102212210221120220200
4323101322102222220000
51013220344230211034
612355231215205200
7600212414466123
oct73217222525000
915372783846820
104073680710144
111330702618751
1255960b516800
132371b9971886
1410124ab143ba
1570e747c1a99
hex3b47a4aaa00

4073680710144 has 120 divisors (see below), whose sum is σ = 11878124998740. Its totient is φ = 1343894519808.

The previous prime is 4073680710131. The next prime is 4073680710193. The reversal of 4073680710144 is 4410170863704.

4073680710144 is a `hidden beast` number, since 407 + 36 + 8 + 0 + 71 + 0 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3499892640000 + 573788070144 = 1870800^2 + 757488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4073680710144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4109959 + ... + 5003910.

Almost surely, 24073680710144 is an apocalyptic number.

It is an amenable number.

4073680710144 is an abundant number, since it is smaller than the sum of its proper divisors (7804444288596).

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

4073680710144 is an equidigital number, since it uses as much as digits as its factorization.

4073680710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113990 (or 9113971 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4073680710144 in words is "four trillion, seventy-three billion, six hundred eighty million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 512 576 582 768 776 873 1152 1164 1536 1552 1746 2304 2328 3104 3492 4608 4656 6208 6984 9312 12416 13968 18624 24832 27936 37248 49664 55872 74496 111744 148992 223488 446976 9113869 18227738 27341607 36455476 54683214 72910952 82024821 109366428 145821904 164049642 218732856 291643808 328099284 437465712 583287616 656198568 874931424 884045293 1166575232 1312397136 1749862848 1768090586 2333150464 2624794272 2652135879 3499725696 3536181172 4666300928 5249588544 5304271758 6999451392 7072362344 7956407637 10499177088 10608543516 13998902784 14144724688 15912815274 20998354176 21217087032 28289449376 31825630548 41996708352 42434174064 56578898752 63651261096 84868348128 113157797504 127302522192 169736696256 226315595008 254605044384 339473392512 452631190016 509210088768 678946785024 1018420177536 1357893570048 2036840355072 4073680710144