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23305052540 = 22571127691789
BaseRepresentation
bin10101101101000101…
…101110000101111100
32020011011120100000002
4111231011232011330
5340212043140130
614412312053432
71453343451410
oct255505560574
966134510002
1023305052540
11997a104a00
124624994278
132275338923
1411b1218d40
15915ebab45
hex56d16e17c

23305052540 has 144 divisors (see below), whose sum is σ = 61593470400. Its totient is φ = 7250411520.

The previous prime is 23305052513. The next prime is 23305052543. The reversal of 23305052540 is 4525050332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23305052543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13025966 + ... + 13027754.

Almost surely, 223305052540 is an apocalyptic number.

23305052540 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 23305052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30796735200).

23305052540 is an abundant number, since it is smaller than the sum of its proper divisors (38288417860).

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

23305052540 is a wasteful number, since it uses less digits than its factorization.

23305052540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The spelling of 23305052540 in words is "twenty-three billion, three hundred five million, fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 769 770 847 1210 1538 1540 1694 1789 2420 3076 3388 3578 3845 4235 5383 7156 7690 8459 8470 8945 10766 12523 15380 16918 16940 17890 19679 21532 25046 26915 33836 35780 39358 42295 50092 53830 59213 62615 78716 84590 93049 98395 107660 118426 125230 137753 169180 186098 196790 216469 236852 250460 275506 296065 372196 393580 432938 465245 551012 592130 651343 688765 865876 930490 1082345 1184260 1302686 1375741 1377530 1515283 1860980 2164690 2605372 2751482 2755060 3030566 3256715 4329380 5502964 6061132 6513430 6878705 7576415 9630187 13026860 13757410 15133151 15152830 19260374 27514820 30266302 30305660 38520748 48150935 60532604 75665755 96301870 105932057 151331510 166464661 192603740 211864114 302663020 332929322 423728228 529660285 665858644 832323305 1059320570 1165252627 1664646610 2118641140 2330505254 3329293220 4661010508 5826263135 11652526270 23305052540