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11976490320 = 24354111310771
BaseRepresentation
bin10110010011101101…
…01011110101010000
31010220122212202010120
423021312223311100
5144011440142240
65300225430240
7602534326254
oct131166536520
933818782116
1011976490320
115096464493
1223a2a9b380
13118b322a82
1481885c264
154a1679ad0
hex2c9dabd50

11976490320 has 160 divisors (see below), whose sum is σ = 38372793984. Its totient is φ = 3087974400.

The previous prime is 11976490313. The next prime is 11976490387. The reversal of 11976490320 is 2309467911.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106535 + ... + 1117305.

Almost surely, 211976490320 is an apocalyptic number.

11976490320 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 11976490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186396992).

11976490320 is an abundant number, since it is smaller than the sum of its proper divisors (26396303664).

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

11976490320 is a wasteful number, since it uses less digits than its factorization.

11976490320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 11976490320 in words is "eleven billion, nine hundred seventy-six million, four hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 113 120 123 164 205 226 240 246 328 339 410 452 492 565 615 656 678 820 904 984 1130 1230 1356 1640 1695 1808 1968 2260 2460 2712 3280 3390 4520 4633 4920 5424 6780 9040 9266 9840 10771 13560 13899 18532 21542 23165 27120 27798 32313 37064 43084 46330 53855 55596 64626 69495 74128 86168 92660 107710 111192 129252 138990 161565 172336 185320 215420 222384 258504 277980 323130 370640 430840 441611 517008 555960 646260 861680 883222 1111920 1217123 1292520 1324833 1766444 2208055 2434246 2585040 2649666 3532888 3651369 4416110 4868492 5299332 6085615 6624165 7065776 7302738 8832220 9736984 10598664 12171230 13248330 14605476 17664440 18256845 19473968 21197328 24342460 26496660 29210952 35328880 36513690 48684920 49902043 52993320 58421904 73027380 97369840 99804086 105986640 146054760 149706129 199608172 249510215 292109520 299412258 399216344 499020430 598824516 748530645 798432688 998040860 1197649032 1497061290 1996081720 2395298064 2994122580 3992163440 5988245160 11976490320