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1082030030592 = 28371511332917
BaseRepresentation
bin11111011111011100000…
…00111111111100000000
310211102220112101201221020
433233232000333330000
5120211444141434332
62145024442425440
7141113466336120
oct17575600777400
93742815351836
101082030030592
11387982820005
12155855802280
137b05bb60894
143a528a56c80
151d22d07a82c
hexfbee03ff00

1082030030592 has 144 divisors (see below), whose sum is σ = 3312973020672. Its totient is φ = 307103846400.

The previous prime is 1082030030533. The next prime is 1082030030617. The reversal of 1082030030592 is 2950300302801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145318 + ... + 1478234.

It is an arithmetic number, because the mean of its divisors is an integer number (23006757088).

Almost surely, 21082030030592 is an apocalyptic number.

1082030030592 is a gapful number since it is divisible by the number (12) 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 1082030030592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656486510336).

1082030030592 is an abundant number, since it is smaller than the sum of its proper divisors (2230942990080).

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

1082030030592 is a wasteful number, since it uses less digits than its factorization.

1082030030592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333094 (or 1333080 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1082030030592 in words is "one trillion, eighty-two billion, thirty million, thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 151 168 192 224 256 302 336 384 448 453 604 672 768 896 906 1057 1208 1344 1792 1812 2114 2416 2688 3171 3624 4228 4832 5376 6342 7248 8456 9664 12684 14496 16912 19328 25368 28992 33824 38656 50736 57984 67648 101472 115968 135296 202944 270592 405888 811776 1332917 2665834 3998751 5331668 7997502 9330419 10663336 15995004 18660838 21326672 27991257 31990008 37321676 42653344 55982514 63980016 74643352 85306688 111965028 127960032 149286704 170613376 201270467 223930056 255920064 298573408 341226752 402540934 447860112 511840128 597146816 603811401 805081868 895720224 1023680256 1194293632 1207622802 1408893269 1610163736 1791440448 2388587264 2415245604 2817786538 3220327472 3582880896 4226679807 4830491208 5635573076 6440654944 7165761792 8453359614 9660982416 11271146152 12881309888 16906719228 19321964832 22542292304 25762619776 33813438456 38643929664 45084584608 51525239552 67626876912 77287859328 90169169216 135253753824 154575718656 180338338432 270507507648 360676676864 541015015296 1082030030592