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1082030201856 = 210321131039007
BaseRepresentation
bin11111011111011100000…
…01101001110000000000
310211102220112201102212100
433233232001221300000
5120211444212424411
62145024450230400
7141113500651332
oct17575601516000
93742815642770
101082030201856
1138798292774a
12155855885400
137b05bbc0816
143a528a9d452
151d22d0b1456
hexfbee069c00

1082030201856 has 132 divisors (see below), whose sum is σ = 3151990775232. Its totient is φ = 357484560384.

The previous prime is 1082030201831. The next prime is 1082030201869. The reversal of 1082030201856 is 6581020302801.

It is a happy number.

It is a super-2 number, since 2×10820302018562 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1082030201856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521905 + ... + 1560911.

Almost surely, 21082030201856 is an apocalyptic number.

1082030201856 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 1082030201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575995387616).

1082030201856 is an abundant number, since it is smaller than the sum of its proper divisors (2069960573376).

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

1082030201856 is a wasteful number, since it uses less digits than its factorization.

1082030201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039146 (or 1039125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1082030201856 in words is "one trillion, eighty-two billion, thirty million, two hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 1017 1024 1152 1356 1536 1808 2034 2304 2712 3072 3616 4068 4608 5424 7232 8136 9216 10848 14464 16272 21696 28928 32544 43392 57856 65088 86784 115712 130176 173568 260352 347136 520704 1039007 1041408 2078014 3117021 4156028 6234042 8312056 9351063 12468084 16624112 18702126 24936168 33248224 37404252 49872336 66496448 74808504 99744672 117407791 132992896 149617008 199489344 234815582 265985792 299234016 352223373 398978688 469631164 531971584 598468032 704446746 797957376 939262328 1056670119 1063943168 1196936064 1408893492 1595914752 1878524656 2113340238 2393872128 2817786984 3191829504 3757049312 4226680476 4787744256 5635573968 7514098624 8453360952 9575488512 11271147936 15028197248 16906721904 22542295872 30056394496 33813443808 45084591744 60112788992 67626887616 90169183488 120225577984 135253775232 180338366976 270507550464 360676733952 541015100928 1082030201856