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194110770816 = 2733113497047
BaseRepresentation
bin1011010011000111100…
…1110100111010000000
3200120000220122211211000
42310301321310322000
511140014324131231
6225101231252000
720011150220424
oct2646171647200
9616026584730
10194110770816
117535a519146
123175337a000
13153c6198591
149575ca8b84
1550b141c6e6
hex2d31e74e80

194110770816 has 128 divisors (see below), whose sum is σ = 577967414400. Its totient is φ = 64130863104.

The previous prime is 194110770811. The next prime is 194110770817. The reversal of 194110770816 is 618077011491.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (194110770811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142005 + ... + 639051.

It is an arithmetic number, because the mean of its divisors is an integer number (4515370425).

Almost surely, 2194110770816 is an apocalyptic number.

194110770816 is a gapful number since it is divisible by the number (16) 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 194110770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288983707200).

194110770816 is an abundant number, since it is smaller than the sum of its proper divisors (383856643584).

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

194110770816 is a wasteful number, since it uses less digits than its factorization.

194110770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497183 (or 497165 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 194110770816 in words is "one hundred ninety-four billion, one hundred ten million, seven hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 288 339 384 432 452 576 678 864 904 1017 1152 1356 1728 1808 2034 2712 3051 3456 3616 4068 5424 6102 7232 8136 10848 12204 14464 16272 21696 24408 32544 43392 48816 65088 97632 130176 195264 390528 497047 994094 1491141 1988188 2982282 3976376 4473423 5964564 7952752 8946846 11929128 13420269 15905504 17893692 23858256 26840538 31811008 35787384 47716512 53681076 56166311 63622016 71574768 95433024 107362152 112332622 143149536 168498933 190866048 214724304 224665244 286299072 336997866 429448608 449330488 505496799 572598144 673995732 858897216 898660976 1010993598 1347991464 1516490397 1717794432 1797321952 2021987196 2695982928 3032980794 3594643904 4043974392 5391965856 6065961588 7189287808 8087948784 10783931712 12131923176 16175897568 21567863424 24263846352 32351795136 48527692704 64703590272 97055385408 194110770816