Search a number
-
+
16140763560 = 23351741192979
BaseRepresentation
bin11110000100001000…
…01000000110101000
31112122212200202002210
433002010020012220
5231024013413220
611225344325120
71110661140465
oct170204100650
945585622083
1016140763560
116933049619
1231656137a0
1316a2c9cc8c
14ad193466c
1564704d6e0
hex3c21081a8

16140763560 has 128 divisors (see below), whose sum is σ = 52521436800. Its totient is φ = 3952189440.

The previous prime is 16140763559. The next prime is 16140763571. The reversal of 16140763560 is 6536704161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12850 + ... + 180129.

It is an arithmetic number, because the mean of its divisors is an integer number (410323725).

Almost surely, 216140763560 is an apocalyptic number.

16140763560 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 16140763560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26260718400).

16140763560 is an abundant number, since it is smaller than the sum of its proper divisors (36380673240).

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

16140763560 is a wasteful number, since it uses less digits than its factorization.

16140763560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193051 (or 193047 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 16140763560 in words is "sixteen billion, one hundred forty million, seven hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 85 102 120 123 136 164 170 204 205 246 255 328 340 408 410 492 510 615 680 697 820 984 1020 1230 1394 1640 2040 2091 2460 2788 3485 4182 4920 5576 6970 8364 10455 13940 16728 20910 27880 41820 83640 192979 385958 578937 771916 964895 1157874 1543832 1929790 2315748 2894685 3280643 3859580 4631496 5789370 6561286 7719160 7912139 9841929 11578740 13122572 15824278 16403215 19683858 23157480 23736417 26245144 31648556 32806430 39367716 39560695 47472834 49209645 63297112 65612860 78735432 79121390 94945668 98419290 118682085 131225720 134506363 158242780 189891336 196838580 237364170 269012726 316485560 393677160 403519089 474728340 538025452 672531815 807038178 949456680 1076050904 1345063630 1614076356 2017595445 2690127260 3228152712 4035190890 5380254520 8070381780 16140763560