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1030848896896 = 27713127696851
BaseRepresentation
bin11110000000000110110…
…00011101111110000000
310122112210122001202110221
433000003120131332000
5113342134304200041
62105322045232424
7134322253022650
oct17000330357600
93575718052427
101030848896896
113681a9367805
12147951262714
13762934a3aa0
1437c71508360
151bc34b752d1
hexf00361df80

1030848896896 has 128 divisors (see below), whose sum is σ = 2547467919360. Its totient is φ = 404596684800.

The previous prime is 1030848896879. The next prime is 1030848896921. The reversal of 1030848896896 is 6986988480301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130871 + ... + 1827721.

It is an arithmetic number, because the mean of its divisors is an integer number (19902093120).

Almost surely, 21030848896896 is an apocalyptic number.

1030848896896 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 1030848896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273733959680).

1030848896896 is an abundant number, since it is smaller than the sum of its proper divisors (1516619022464).

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

1030848896896 is a wasteful number, since it uses less digits than its factorization.

1030848896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697012 (or 697000 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 70.

The spelling of 1030848896896 in words is "one trillion, thirty billion, eight hundred forty-eight million, eight hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 364 416 448 508 728 832 889 896 1016 1456 1651 1664 1778 2032 2912 3302 3556 4064 5824 6604 7112 8128 11557 11648 13208 14224 16256 23114 26416 28448 46228 52832 56896 92456 105664 113792 184912 211328 369824 696851 739648 1393702 1479296 2787404 4877957 5574808 9059063 9755914 11149616 18118126 19511828 22299232 36236252 39023656 44598464 63413441 72472504 78047312 88500077 89196928 126826882 144945008 156094624 177000154 253653764 289890016 312189248 354000308 507307528 579780032 619500539 624378496 708000616 1014615056 1150501001 1159560064 1239001078 1416001232 2029230112 2301002002 2478002156 2832002464 4058460224 4602004004 4956004312 5664004928 8053507007 8116920448 9204008008 9912008624 11328009856 16107014014 18408016016 19824017248 32214028028 36816032032 39648034496 64428056056 73632064064 79296068992 128856112112 147264128128 257712224224 515424448448 1030848896896