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23404013010 = 23257180120627
BaseRepresentation
bin10101110010111111…
…001110010111010010
32020102001210001020200
4111302333032113102
5340412411404020
614430205120030
71455654554040
oct256277162722
966361701220
1023404013010
119a1aa56414
124651b59016
13228c9a7211
1411c0419390
1591ea17590
hex572fce5d2

23404013010 has 96 divisors (see below), whose sum is σ = 69585340032. Its totient is φ = 5346259200.

The previous prime is 23404012997. The next prime is 23404013089. The reversal of 23404013010 is 1031040432.

23404013010 is a `hidden beast` number, since 234 + 0 + 401 + 30 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124317 + ... + 1144943.

It is an arithmetic number, because the mean of its divisors is an integer number (724847292).

Almost surely, 223404013010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23404013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34792670016).

23404013010 is an abundant number, since it is smaller than the sum of its proper divisors (46181327022).

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

23404013010 is a wasteful number, since it uses less digits than its factorization.

23404013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22448 (or 22445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23404013010 its reverse (1031040432), we get a palindrome (24435053442).

The spelling of 23404013010 in words is "twenty-three billion, four hundred four million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1801 3602 5403 9005 10806 12607 16209 18010 20627 25214 27015 32418 37821 41254 54030 61881 63035 75642 81045 103135 113463 123762 126070 144389 162090 185643 189105 206270 226926 288778 309405 371286 378210 433167 567315 618810 721945 866334 928215 1134630 1299501 1443890 1856430 2165835 2599002 4331670 6497505 12995010 37149227 74298454 111447681 185746135 222895362 260044589 334343043 371492270 520089178 557238405 668686086 780133767 1114476810 1300222945 1560267534 1671715215 2340401301 2600445890 3343430430 3900668835 4680802602 7801337670 11702006505 23404013010