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1383781648976 = 241719279795731
BaseRepresentation
bin10100001000101111110…
…100000100101001010000
311220021210010022012101022
4110020233310010221100
5140132441100231401
62535411151055012
7201655253641556
oct24105764045120
94807703265338
101383781648976
11493949736101
121a4229811468
13a064a83c96c
144ad92679bd6
1525ede3d771b
hex1422fd04a50

1383781648976 has 80 divisors (see below), whose sum is σ = 2989296797760. Its totient is φ = 616691128320.

The previous prime is 1383781648967. The next prime is 1383781648981. The reversal of 1383781648976 is 6798461873831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14407031 + ... + 14502761.

It is an arithmetic number, because the mean of its divisors is an integer number (37366209972).

Almost surely, 21383781648976 is an apocalyptic number.

1383781648976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383781648976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494648398880).

1383781648976 is an abundant number, since it is smaller than the sum of its proper divisors (1605515148784).

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

1383781648976 is a wasteful number, since it uses less digits than its factorization.

1383781648976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98572 (or 98566 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 71.

The spelling of 1383781648976 in words is "one trillion, three hundred eighty-three billion, seven hundred eighty-one million, six hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 2797 5168 5594 11188 22376 44752 47549 53143 95098 95731 106286 190196 191462 212572 380392 382924 425144 760784 765848 850288 903431 1531696 1627427 1806862 1818889 3254854 3613724 3637778 6509708 7227448 7275556 13019416 14454896 14551112 26038832 29102224 30921113 61842226 123684452 247368904 267759607 494737808 535519214 1071038428 2142076856 4284153712 4551913319 5087432533 9103826638 10174865066 18207653276 20349730132 36415306552 40699460264 72830613104 81398920528 86486353061 172972706122 345945412244 691890824488 1383781648976