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1321149648 = 2437131915919
BaseRepresentation
bin100111010111111…
…0010010011010000
310102001222100121110
41032233302103100
510201203242043
6335032453320
744511405150
oct11657622320
93361870543
101321149648
11618833315
1230a54a240
13180931770
14c7668760
157aebbb33
hex4ebf24d0

1321149648 has 160 divisors (see below), whose sum is σ = 4421939200. Its totient is φ = 330075648.

The previous prime is 1321149623. The next prime is 1321149659. The reversal of 1321149648 is 8469411231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75033 + ... + 90951.

It is an arithmetic number, because the mean of its divisors is an integer number (27637120).

Almost surely, 21321149648 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 1321149648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210969600).

1321149648 is an abundant number, since it is smaller than the sum of its proper divisors (3100789552).

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

1321149648 is a wasteful number, since it uses less digits than its factorization.

1321149648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969 (or 15963 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 1321149648 is about 36347.6223156343. The cubic root of 1321149648 is about 1097.2796825652.

The spelling of 1321149648 in words is "one billion, three hundred twenty-one million, one hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 15919 20748 27664 31838 41496 47757 63676 82992 95514 111433 127352 191028 206947 222866 254704 302461 334299 382056 413894 445732 604922 620841 668598 764112 827788 891464 907383 1209844 1241682 1337196 1448629 1655576 1782928 1814766 2117227 2419688 2483364 2674392 2897258 3311152 3629532 3931993 4234454 4345887 4839376 4966728 5348784 5794516 6351681 7259064 7863986 8468908 8691774 9933456 11589032 11795979 12703362 14518128 15727972 16937816 17383548 23178064 23591958 25406724 27523951 31455944 33875632 34767096 47183916 50813448 55047902 62911888 69534192 82571853 94367832 101626896 110095804 165143706 188735664 220191608 330287412 440383216 660574824 1321149648