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10110443408 = 24132314271481
BaseRepresentation
bin10010110101010000…
…10001111110010000
3222002121120201222222
421122220101332100
5131201233142113
64351125520212
7505355231252
oct113250217620
928077521888
1010110443408
11431909985a
121b61b73068
13c518495c0
146bcab1cd2
153e2926e08
hex25aa11f90

10110443408 has 80 divisors (see below), whose sum is σ = 22043339136. Its totient is φ = 4457333760.

The previous prime is 10110443389. The next prime is 10110443443. The reversal of 10110443408 is 80434401101.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 6826028 + ... + 6827508.

Almost surely, 210110443408 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 10110443408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021669568).

10110443408 is an abundant number, since it is smaller than the sum of its proper divisors (11932895728).

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

10110443408 is a wasteful number, since it uses less digits than its factorization.

10110443408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10110443408 its reverse (80434401101), we get a palindrome (90544844509).

The spelling of 10110443408 in words is "ten billion, one hundred ten million, four hundred forty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1427 1481 2392 2854 2962 4784 5708 5924 11416 11848 18551 19253 22832 23696 32821 34063 37102 38506 65642 68126 74204 77012 131284 136252 148408 154024 262568 272504 296816 308048 426673 442819 525136 545008 853346 885638 1706692 1771276 2113387 3413384 3542552 4226774 6826768 7085104 8453548 16907096 27474031 33814192 48607901 54948062 97215802 109896124 194431604 219792248 388863208 439584496 631902713 777726416 1263805426 2527610852 5055221704 10110443408