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1068382919392 = 25192713074243
BaseRepresentation
bin11111000110000001001…
…01011001101011100000
310210010200102221122210021
433203000211121223200
5120001022011410032
62134450333443224
7140121344655655
oct17430045315340
93703612848707
101068382919392
1138210a33a408
12153087340514
13799956a9a59
14399d239dc2c
151cbcee02097
hexf8c0959ae0

1068382919392 has 144 divisors (see below), whose sum is σ = 2259041000832. Its totient is φ = 497205838080.

The previous prime is 1068382919341. The next prime is 1068382919399. The reversal of 1068382919392 is 2939192838601.

It is a super-2 number, since 2×10683829193922 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1068382919392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068382919399) 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, 251796823 + ... + 251801065.

It is an arithmetic number, because the mean of its divisors is an integer number (15687784728).

Almost surely, 21068382919392 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 1068382919392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129520500416).

1068382919392 is an abundant number, since it is smaller than the sum of its proper divisors (1190658081440).

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

1068382919392 is a wasteful number, since it uses less digits than its factorization.

1068382919392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 1068382919392 in words is "one trillion, sixty-eight billion, three hundred eighty-two million, nine hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 71 76 142 152 284 304 307 361 568 608 614 722 1136 1228 1349 1444 2272 2456 2698 2888 4243 4912 5396 5776 5833 8486 9824 10792 11552 11666 16972 21584 21797 23332 25631 33944 43168 43594 46664 51262 67888 80617 87188 93328 102524 110827 135776 161234 174376 186656 205048 221654 301253 322468 348752 410096 414143 443308 602506 644936 697504 820192 828286 886616 1205012 1289872 1302601 1531723 1656572 1773232 2410024 2579744 2605202 3063446 3313144 3546464 4820048 5210404 5723807 6126892 6626288 7868717 9640096 10420808 11447614 12253784 13252576 15737434 20841616 22895228 24507568 24749419 31474868 41683232 45790456 49015136 49498838 62949736 91580912 92484671 98997676 108752333 125899472 183161824 184969342 197995352 217504666 251798944 369938684 395990704 435009332 470238961 739877368 791981408 870018664 940477922 1479754736 1740037328 1757208749 1880955844 2959509472 3480074656 3514417498 3761911688 7028834996 7523823376 14057669992 15047646752 28115339984 33386966231 56230679968 66773932462 133547864924 267095729848 534191459696 1068382919392