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1321915716 = 223211171791097
BaseRepresentation
bin100111011001010…
…1101010101000100
310102010102021110100
41032302231111010
510201402300331
6335101124100
744521045452
oct11662552504
93363367410
101321915716
11619206930
1230a859630
13180b3c364
14c77c79d2
157b0bdae6
hex4ecad544

1321915716 has 144 divisors (see below), whose sum is σ = 3884811840. Its totient is φ = 374568960.

The previous prime is 1321915667. The next prime is 1321915723. The reversal of 1321915716 is 6175191231.

It is a happy number.

It is a super-2 number, since 2×13219157162 = 3494922320415585312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204480 + ... + 1205576.

It is an arithmetic number, because the mean of its divisors is an integer number (26977860).

Almost surely, 21321915716 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 1321915716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942405920).

1321915716 is an abundant number, since it is smaller than the sum of its proper divisors (2562896124).

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

1321915716 is a wasteful number, since it uses less digits than its factorization.

1321915716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1309 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 1321915716 is about 36358.1588642769. The cubic root of 1321915716 is about 1097.4917272879.

The spelling of 1321915716 in words is "one billion, three hundred twenty-one million, nine hundred fifteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 179 187 198 204 306 358 374 396 537 561 612 716 748 1074 1097 1122 1611 1683 1969 2148 2194 2244 3043 3222 3291 3366 3938 4388 5907 6086 6444 6582 6732 7876 9129 9873 11814 12067 12172 13164 17721 18258 18649 19746 23628 24134 27387 33473 35442 36201 36516 37298 39492 48268 54774 55947 66946 70884 72402 74596 100419 108603 109548 111894 133892 144804 167841 196363 200838 205139 217206 223788 301257 335682 392726 401676 410278 434412 589089 602514 615417 671364 785452 820556 1178178 1205028 1230834 1767267 1846251 2159993 2356356 2461668 3338171 3534534 3692502 4319986 6479979 6676342 7069068 7385004 8639972 10014513 12959958 13352684 19439937 20029026 25919916 30043539 36719881 38879874 40058052 60087078 73439762 77759748 110159643 120174156 146879524 220319286 330478929 440638572 660957858 1321915716