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23012280540 = 223251935918743
BaseRepresentation
bin10101011011101000…
…111000100011011100
32012101202122222022200
4111123220320203130
5334112120434130
614323253011500
71443160104624
oct253350704334
965352588280
1023012280540
119839917a77
124562923b90
13222979ba62
1411843a7884
158ea438760
hex55ba388dc

23012280540 has 144 divisors (see below), whose sum is σ = 73686412800. Its totient is φ = 5797125504.

The previous prime is 23012280523. The next prime is 23012280541. The reversal of 23012280540 is 4508221032.

23012280540 is a `hidden beast` number, since 2 + 30 + 12 + 2 + 80 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23012280541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218409 + ... + 1237151.

It is an arithmetic number, because the mean of its divisors is an integer number (511711200).

Almost surely, 223012280540 is an apocalyptic number.

23012280540 is a gapful number since it is divisible by the number (20) 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 23012280540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36843206400).

23012280540 is an abundant number, since it is smaller than the sum of its proper divisors (50674132260).

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

23012280540 is a wasteful number, since it uses less digits than its factorization.

23012280540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19136 (or 19131 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 23012280540 in words is "twenty-three billion, twelve million, two hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 359 380 570 684 718 855 1077 1140 1436 1710 1795 2154 3231 3420 3590 4308 5385 6462 6821 7180 10770 12924 13642 16155 18743 20463 21540 27284 32310 34105 37486 40926 56229 61389 64620 68210 74972 81852 93715 102315 112458 122778 136420 168687 187430 204630 224916 245556 281145 306945 337374 356117 374860 409260 562290 613890 674748 712234 843435 1068351 1124580 1227780 1424468 1686870 1780585 2136702 3205053 3373740 3561170 4273404 5341755 6410106 6728737 7122340 10683510 12820212 13457474 16025265 20186211 21367020 26914948 32050530 33643685 40372422 60558633 64101060 67287370 80744844 100931055 121117266 127846003 134574740 201862110 242234532 255692006 302793165 383538009 403724220 511384012 605586330 639230015 767076018 1150614027 1211172660 1278460030 1534152036 1917690045 2301228054 2556920060 3835380090 4602456108 5753070135 7670760180 11506140270 23012280540