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16661616160 = 255717385991
BaseRepresentation
bin11111000010001110…
…00001011000100000
31121000011202210112211
433201013001120200
5233110333204120
611353152131504
71126614254260
oct174107013040
947004683484
1016661616160
117080058912
12328bb36b94
131756b76597
14b40b977a0
15677b3525a
hex3e11c1620

16661616160 has 96 divisors (see below), whose sum is σ = 45246926592. Its totient is φ = 5679467520.

The previous prime is 16661616149. The next prime is 16661616161. The reversal of 16661616160 is 6161616661.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (16661616161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150765 + ... + 236755.

It is an arithmetic number, because the mean of its divisors is an integer number (471322152).

Almost surely, 216661616160 is an apocalyptic number.

16661616160 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 16661616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22623463296).

16661616160 is an abundant number, since it is smaller than the sum of its proper divisors (28585310432).

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

16661616160 is a wasteful number, since it uses less digits than its factorization.

16661616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86186 (or 86178 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 16661616160 in words is "sixteen billion, six hundred sixty-one million, six hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 173 224 280 346 560 692 865 1120 1211 1384 1730 2422 2768 3460 4844 5536 6055 6920 9688 12110 13840 19376 24220 27680 38752 48440 85991 96880 171982 193760 343964 429955 601937 687928 859910 1203874 1375856 1719820 2407748 2751712 3009685 3439640 4815496 6019370 6879280 9630992 12038740 13758560 14876443 19261984 24077480 29752886 48154960 59505772 74382215 96309920 104135101 119011544 148764430 208270202 238023088 297528860 416540404 476046176 520675505 595057720 833080808 1041351010 1190115440 1666161616 2082702020 2380230880 3332323232 4165404040 8330808080 16661616160