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12857570940 = 2235192599991
BaseRepresentation
bin10111111100101111…
…01111011001111100
31020012001210021112010
423332113233121330
5202313014232230
65523502211220
7633423356364
oct137627573174
936161707463
1012857570940
1154a8844395
1225a9b83b10
13129ba23b56
1489d8919a4
15503bba9b0
hex2fe5ef67c

12857570940 has 144 divisors (see below), whose sum is σ = 38097561600. Its totient is φ = 3239533440.

The previous prime is 12857570927. The next prime is 12857570941. The reversal of 12857570940 is 4907575821.

It is a self number, because there is not a number n which added to its sum of digits gives 12857570940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12857570941) 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, 12973845 + ... + 12974835.

It is an arithmetic number, because the mean of its divisors is an integer number (264566400).

Almost surely, 212857570940 is an apocalyptic number.

12857570940 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 12857570940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048780800).

12857570940 is an abundant number, since it is smaller than the sum of its proper divisors (25239990660).

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

12857570940 is a wasteful number, since it uses less digits than its factorization.

12857570940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 12857570940 in words is "twelve billion, eight hundred fifty-seven million, five hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 599 722 991 1083 1140 1198 1444 1797 1805 1982 2166 2396 2973 2995 3594 3610 3964 4332 4955 5415 5946 5990 7188 7220 8985 9910 10830 11381 11892 11980 14865 17970 18829 19820 21660 22762 29730 34143 35940 37658 45524 56487 56905 59460 68286 75316 94145 112974 113810 136572 170715 188290 216239 225948 227620 282435 341430 357751 376580 432478 564870 593609 648717 682860 715502 864956 1073253 1081195 1129740 1187218 1297434 1431004 1780827 1788755 2146506 2162390 2374436 2594868 2968045 3243585 3561654 3577510 4293012 4324780 5366265 5936090 6487170 7123308 7155020 8904135 10732530 11278571 11872180 12974340 17808270 21465060 22557142 33835713 35616540 45114284 56392855 67671426 112785710 135342852 169178565 214292849 225571420 338357130 428585698 642878547 676714260 857171396 1071464245 1285757094 2142928490 2571514188 3214392735 4285856980 6428785470 12857570940