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16740841058048 = 2819291181100493
BaseRepresentation
bin1111001110011100011111…
…1000100110111100000000
32012021102000222220220201002
43303213013320212330000
54143240220302324143
655334345231031132
73345325435062212
oct363470770467400
965242028826632
1016740841058048
1153748293874a8
121a645a196b4a8
13945868034993
1441c3923a65b2
151e07037025b8
hexf39c7e26f00

16740841058048 has 144 divisors (see below), whose sum is σ = 36419146192800. Its totient is φ = 7649869086720.

The previous prime is 16740841057873. The next prime is 16740841058057. The reversal of 16740841058048 is 84085014804761.

It is a junction number, because it is equal to n+sod(n) for n = 16740841057984 and 16740841058002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166536890 + ... + 166637382.

It is an arithmetic number, because the mean of its divisors is an integer number (252910737450).

Almost surely, 216740841058048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16740841058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209573096400).

16740841058048 is an abundant number, since it is smaller than the sum of its proper divisors (19678305134752).

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

16740841058048 is a wasteful number, since it uses less digits than its factorization.

16740841058048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101738 (or 101724 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 56.

The spelling of 16740841058048 in words is "sixteen trillion, seven hundred forty billion, eight hundred forty-one million, fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 464 551 608 928 1102 1181 1216 1856 2204 2362 2432 3712 4408 4724 4864 7424 8816 9448 17632 18896 22439 34249 35264 37792 44878 68498 70528 75584 89756 100493 136996 141056 151168 179512 200986 273992 302336 359024 401972 547984 650731 718048 803944 1095968 1301462 1436096 1607888 1909367 2191936 2602924 2872192 2914297 3215776 3818734 4383872 5205848 5744384 5828594 6431552 7637468 8767744 10411696 11657188 12863104 15274936 20823392 23314376 25726208 30549872 41646784 46628752 55371643 61099744 83293568 93257504 110743286 118682233 122199488 166587136 186515008 221486572 237364466 244398976 373030016 442973144 474728932 488797952 746060032 885946288 949457864 1771892576 1898915728 2254962427 3441784757 3543785152 3797831456 4509924854 6883569514 7087570304 7595662912 9019849708 13767139028 14175140608 15191325824 18039699416 27534278056 30382651648 36079398832 55068556112 65393910383 72158797664 110137112224 130787820766 144317595328 220274224448 261575641532 288635190656 440548448896 523151283064 577270381312 881096897792 1046302566128 2092605132256 4185210264512 8370420529024 16740841058048