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13048361216 = 28112421241
BaseRepresentation
bin11000010011011111…
…00011000100000000
31020200100210102120122
430021233203010000
5203210340024331
65554435355412
7641231145302
oct141157430400
936610712518
1013048361216
115596506a00
122641a52b68
1312cc4051c7
148bad57972
1551580617b
hex309be3100

13048361216 has 54 divisors (see below), whose sum is σ = 28628870046. Its totient is φ = 5931059200.

The previous prime is 13048361201. The next prime is 13048361251. The reversal of 13048361216 is 61216384031.

It can be written as a sum of positive squares in only one way, i.e., 12255375616 + 792985600 = 110704^2 + 28160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179645 + ... + 241596.

Almost surely, 213048361216 is an apocalyptic number.

13048361216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13048361216 is an abundant number, since it is smaller than the sum of its proper divisors (15580508830).

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

13048361216 is an equidigital number, since it uses as much as digits as its factorization.

13048361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421279 (or 421254 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 13048361216 in words is "thirteen billion, forty-eight million, three hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 421241 842482 1684964 3369928 4633651 6739856 9267302 13479712 18534604 26959424 37069208 50970161 53918848 74138416 101940322 107837696 148276832 203880644 296553664 407761288 593107328 815522576 1186214656 1631045152 3262090304 6524180608 13048361216