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1318701904 = 24133753261
BaseRepresentation
bin100111010011001…
…1100101101010000
310101220100222221021
41032212130231100
510200041430104
6334504205224
744451531652
oct11646345520
93356328837
101318701904
11617411293
12309769814
131802855b0
14c71cc6d2
157ab86754
hex4e99cb50

1318701904 has 120 divisors (see below), whose sum is σ = 2927428952. Its totient is φ = 571484160.

The previous prime is 1318701871. The next prime is 1318701907. The reversal of 1318701904 is 4091078131.

It can be written as a sum of positive squares in 12 ways, for example, as 232867600 + 1085834304 = 15260^2 + 32952^2 .

It is a super-2 number, since 2×13187019042 = 3477949423226450432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1318701904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318701907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21618034 + ... + 21618094.

Almost surely, 21318701904 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 1318701904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463714476).

1318701904 is an abundant number, since it is smaller than the sum of its proper divisors (1608727048).

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

1318701904 is a wasteful number, since it uses less digits than its factorization.

1318701904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1318701904 is about 36313.9353967592. The cubic root of 1318701904 is about 1096.6016064154.

The spelling of 1318701904 in words is "one billion, three hundred eighteen million, seven hundred one thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 37 52 53 61 74 104 106 122 148 208 212 244 296 424 481 488 592 689 793 848 962 976 1378 1586 1924 1961 2257 2756 2809 3172 3233 3848 3922 4514 5512 5618 6344 6466 7696 7844 9028 11024 11236 12688 12932 15688 18056 22472 25493 25864 29341 31376 36112 36517 42029 44944 50986 51728 58682 73034 84058 101972 103933 117364 119621 146068 168116 171349 203944 207866 234728 239242 292136 336232 342698 407888 415732 469456 478484 584272 672464 685396 831464 956968 1351129 1370792 1555073 1662928 1913936 2227537 2702258 2741584 3110146 4455074 5404516 6220292 6339913 8910148 10809032 12440584 12679826 17820296 21618064 24881168 25359652 35640592 50719304 82418869 101438608 164837738 329675476 659350952 1318701904