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23281787540 = 225112918311993
BaseRepresentation
bin10101101011101100…
…111110001010010100
32020002112210100102102
4111223230332022110
5340140114200130
614410121301232
71452641633414
oct255354761224
966075710372
1023281787540
119967a64630
124619034818
13227058135b
1411ac0c0644
15913e22645
hex56bb3e294

23281787540 has 96 divisors (see below), whose sum is σ = 55233480960. Its totient is φ = 8165606400.

The previous prime is 23281787533. The next prime is 23281787561. The reversal of 23281787540 is 4578718232.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11680784 + ... + 11682776.

It is an arithmetic number, because the mean of its divisors is an integer number (575348760).

Almost surely, 223281787540 is an apocalyptic number.

23281787540 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 23281787540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27616740480).

23281787540 is an abundant number, since it is smaller than the sum of its proper divisors (31951693420).

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

23281787540 is a wasteful number, since it uses less digits than its factorization.

23281787540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 23281787540 in words is "twenty-three billion, two hundred eighty-one million, seven hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 1831 1993 3190 3662 3986 6380 7324 7972 9155 9965 18310 19930 20141 21923 36620 39860 40282 43846 53099 57797 80564 87692 100705 106198 109615 115594 201410 212396 219230 231188 265495 288985 402820 438460 530990 577970 584089 635767 1061980 1155940 1168178 1271534 2336356 2543068 2920445 3178835 3649183 5840890 6357670 7298366 11681780 12715340 14596732 18245915 36491830 40141013 72983660 80282026 105826307 160564052 200705065 211652614 401410130 423305228 529131535 802820260 1058263070 1164089377 2116526140 2328178754 4656357508 5820446885 11640893770 23281787540