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1351716864 = 2123412683
BaseRepresentation
bin101000010010001…
…1001000000000000
310111012111022221120
41100210121000000
510232014414424
6342043552240
745332255331
oct12044310000
93435438846
101351716864
11634010983
1231882b680
13187074984
14cb744288
157da08a79
hex50919000

1351716864 has 104 divisors (see below), whose sum is σ = 3693420192. Its totient is φ = 439418880.

The previous prime is 1351716859. The next prime is 1351716887. The reversal of 1351716864 is 4686171531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502467 + ... + 505149.

Almost surely, 21351716864 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 1351716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846710096).

1351716864 is an abundant number, since it is smaller than the sum of its proper divisors (2341703328).

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

1351716864 is an equidigital number, since it uses as much as digits as its factorization.

1351716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2729 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 1351716864 is about 36765.7022780743. The cubic root of 1351716864 is about 1105.6777682351.

It can be divided in two parts, 13517 and 16864, that added together give a triangular number (30381 = T246).

The spelling of 1351716864 in words is "one billion, three hundred fifty-one million, seven hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 2683 3072 3936 4096 5248 5366 6144 7872 8049 10496 10732 12288 15744 16098 20992 21464 31488 32196 41984 42928 62976 64392 83968 85856 110003 125952 128784 167936 171712 220006 251904 257568 330009 343424 440012 503808 515136 660018 686848 880024 1030272 1320036 1373696 1760048 2060544 2640072 2747392 3520096 4121088 5280144 5494784 7040192 8242176 10560288 10989568 14080384 16484352 21120576 28160768 32968704 42241152 56321536 84482304 112643072 168964608 225286144 337929216 450572288 675858432 1351716864