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1313472064 = 2641736857
BaseRepresentation
bin100111001001001…
…1111111001000000
310101112112021221111
41032102133321000
510142222101224
6334200133104
744356220422
oct11622377100
93345467844
101313472064
1161446a003
12307a67194
1317c174008
14c662a812
157a4a1d94
hex4e49fe40

1313472064 has 56 divisors (see below), whose sum is σ = 2706962328. Its totient is φ = 631848960.

The previous prime is 1313472059. The next prime is 1313472067. The reversal of 1313472064 is 4602743131.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 1258830400 = 7392^2 + 35480^2 .

It is not an unprimeable number, because it can be changed into a prime (1313472067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188124 + ... + 194980.

It is an arithmetic number, because the mean of its divisors is an integer number (48338613).

Almost surely, 21313472064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353481164).

1313472064 is an abundant number, since it is smaller than the sum of its proper divisors (1393490264).

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

1313472064 is an equidigital number, since it uses as much as digits as its factorization.

1313472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1313472064 is about 36241.8551401553. The cubic root of 1313472064 is about 1095.1500149620.

The spelling of 1313472064 in words is "one billion, three hundred thirteen million, four hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 73 82 146 164 292 328 584 656 1168 1312 2336 2624 2993 4672 5986 6857 11972 13714 23944 27428 47888 54856 95776 109712 191552 219424 281137 438848 500561 562274 1001122 1124548 2002244 2249096 4004488 4498192 8008976 8996384 16017952 17992768 20523001 32035904 41046002 82092004 164184008 328368016 656736032 1313472064