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16135612440 = 2335199772959
BaseRepresentation
bin11110000011100000…
…11110100000011000
31112122112000001002120
433001300132200120
5231021204044230
611225042101240
71110566304603
oct170160364030
945575001076
1016135612440
1169301504a2
12316394a820
1316a1bb848c
14ad0d9333a
15646882310
hex3c1c1e818

16135612440 has 128 divisors (see below), whose sum is σ = 51480576000. Its totient is φ = 4034285568.

The previous prime is 16135612391. The next prime is 16135612447. The reversal of 16135612440 is 4421653161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16135612447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184681 + ... + 257639.

It is an arithmetic number, because the mean of its divisors is an integer number (402192000).

Almost surely, 216135612440 is an apocalyptic number.

16135612440 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 16135612440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288000).

16135612440 is an abundant number, since it is smaller than the sum of its proper divisors (35344963560).

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

16135612440 is a wasteful number, since it uses less digits than its factorization.

16135612440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73089 (or 73085 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 16135612440 in words is "sixteen billion, one hundred thirty-five million, six hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 97 114 120 152 190 194 228 285 291 380 388 456 485 570 582 760 776 970 1140 1164 1455 1843 1940 2280 2328 2910 3686 3880 5529 5820 7372 9215 11058 11640 14744 18430 22116 27645 36860 44232 55290 72959 73720 110580 145918 218877 221160 291836 364795 437754 583672 729590 875508 1094385 1386221 1459180 1751016 2188770 2772442 2918360 4158663 4377540 5544884 6931105 7077023 8317326 8755080 11089768 13862210 14154046 16634652 20793315 21231069 27724420 28308092 33269304 35385115 41586630 42462138 55448840 56616184 70770230 83173260 84924276 106155345 134463437 141540460 166346520 169848552 212310690 268926874 283080920 403390311 424621380 537853748 672317185 806780622 849242760 1075707496 1344634370 1613561244 2016951555 2689268740 3227122488 4033903110 5378537480 8067806220 16135612440