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1347378007104 = 2634259910881
BaseRepresentation
bin10011100110110101111…
…111001100110001000000
311202210211002102120210000
4103212311333030301000
5134033412232211404
62510551002440000
7166226166044103
oct23466577146100
94683732376700
101347378007104
1147a468839168
1219916a203000
139a09889397c
14492db99073a
15250ad4e3339
hex139b5fccc40

1347378007104 has 70 divisors (see below), whose sum is σ = 3994050523694. Its totient is φ = 449126000640.

The previous prime is 1347378007099. The next prime is 1347378007123. The reversal of 1347378007104 is 4017008737431.

It is a happy number.

1347378007104 is a `hidden beast` number, since 1 + 3 + 473 + 78 + 0 + 0 + 7 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 988529085504 + 358848921600 = 994248^2 + 599040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1347378007104.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 129950257 + ... + 129960624.

Almost surely, 21347378007104 is an apocalyptic number.

It is an amenable number.

1347378007104 is an abundant number, since it is smaller than the sum of its proper divisors (2646672516590).

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

1347378007104 is an equidigital number, since it uses as much as digits as its factorization.

1347378007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259910905 (or 259910886 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1347378007104 in words is "one trillion, three hundred forty-seven billion, three hundred seventy-eight million, seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 259910881 519821762 779732643 1039643524 1559465286 2079287048 2339197929 3118930572 4158574096 4678395858 6237861144 7017593787 8317148192 9356791716 12475722288 14035187574 16634296384 18713583432 21052781361 24951444576 28070375148 37427166864 42105562722 49902889152 56140750296 74854333728 84211125444 112281500592 149708667456 168422250888 224563001184 336844501776 449126002368 673689003552 1347378007104