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10404776140 = 22511317320899
BaseRepresentation
bin10011011000010110…
…00100100011001100
3222212010102101121021
421230023010203030
5132302110314030
64440242243524
7515561065213
oct115413044314
928763371537
1010404776140
11445a252350
1220246565a4
13c9a811995
14709c0c07a
1540d6b697a
hex26c2c48cc

10404776140 has 96 divisors (see below), whose sum is σ = 24943564800. Its totient is φ = 3611174400.

The previous prime is 10404776119. The next prime is 10404776141. The reversal of 10404776140 is 4167740401.

It is a junction number, because it is equal to n+sod(n) for n = 10404776096 and 10404776105.

It is not an unprimeable number, because it can be changed into a prime (10404776141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487411 + ... + 508309.

It is an arithmetic number, because the mean of its divisors is an integer number (259828800).

Almost surely, 210404776140 is an apocalyptic number.

10404776140 is a gapful number since it is divisible by the number (10) 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 10404776140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471782400).

10404776140 is an abundant number, since it is smaller than the sum of its proper divisors (14538788660).

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

10404776140 is a wasteful number, since it uses less digits than its factorization.

10404776140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21023 (or 21021 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 10404776140 in words is "ten billion, four hundred four million, seven hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 73 110 124 146 155 220 292 310 341 365 620 682 730 803 1364 1460 1606 1705 2263 3212 3410 4015 4526 6820 8030 9052 11315 16060 20899 22630 24893 41798 45260 49786 83596 99572 104495 124465 208990 229889 248930 417980 459778 497860 647869 919556 1149445 1295738 1525627 2298890 2591476 3051254 3239345 4597780 6102508 6478690 7126559 7628135 12957380 14253118 15256270 16781897 28506236 30512540 33563794 35632795 47294437 67127588 71265590 83909485 94588874 142531180 167818970 189177748 236472185 335637940 472944370 520238807 945888740 1040477614 2080955228 2601194035 5202388070 10404776140