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1315726016 = 261117109937
BaseRepresentation
bin100111001101100…
…0110001011000000
310101200202210210012
41032123012023000
510143311213031
6334320324052
744414325623
oct11633061300
93350683705
101315726016
11615769480
12308773628
1317c782c07
14c6a55dba
157a799b2b
hex4e6c62c0

1315726016 has 56 divisors (see below), whose sum is σ = 3015819216. Its totient is φ = 562872320.

The previous prime is 1315726001. The next prime is 1315726051. The reversal of 1315726016 is 6106275131.

It is a super-2 number, since 2×13157260162 = 3462269898358464512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 43001 + ... + 66936.

Almost surely, 21315726016 is an apocalyptic number.

1315726016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1315726016 is an abundant number, since it is smaller than the sum of its proper divisors (1700093200).

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

1315726016 is a wasteful number, since it uses less digits than its factorization.

1315726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109977 (or 109967 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1315726016 is about 36272.9377911412. The cubic root of 1315726016 is about 1095.7760922178.

The spelling of 1315726016 in words is "one billion, three hundred fifteen million, seven hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 109937 219874 439748 879496 1209307 1758992 1868929 2418614 3517984 3737858 4837228 7035968 7475716 9674456 14951432 19348912 20558219 29902864 38697824 41116438 59805728 77395648 82232876 119611456 164465752 328931504 657863008 1315726016