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1930837633340 = 2257211607295079
BaseRepresentation
bin11100000110001110111…
…001000010100100111100
320211120211101122121000112
4130012032321002210330
5223113323413231330
64035003051245152
7256332646042100
oct34061671024474
96746741577015
101930837633340
11684955564080
122722617497b8
13110100818165
146964b1db900
153535b1c9795
hex1c18ee4293c

1930837633340 has 144 divisors (see below), whose sum is σ = 5154051409920. Its totient is φ = 600826020480.

The previous prime is 1930837633339. The next prime is 1930837633349. The reversal of 1930837633340 is 433367380391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930837633349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6395921 + ... + 6690999.

It is an arithmetic number, because the mean of its divisors is an integer number (35792023680).

Almost surely, 21930837633340 is an apocalyptic number.

1930837633340 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 1930837633340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577025704960).

1930837633340 is an abundant number, since it is smaller than the sum of its proper divisors (3223213776580).

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

1930837633340 is a wasteful number, since it uses less digits than its factorization.

1930837633340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295720 (or 295711 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 50.

The spelling of 1930837633340 in words is "one trillion, nine hundred thirty billion, eight hundred thirty-seven million, six hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 607 770 980 1078 1214 1540 2156 2428 2695 3035 4249 5390 6070 6677 8498 10780 12140 13354 16996 21245 26708 29743 33385 42490 46739 59486 66770 84980 93478 118972 133540 148715 186956 233695 295079 297430 327173 467390 590158 594860 654346 934780 1180316 1308692 1475395 1635865 2065553 2950790 3245869 3271730 4131106 5901580 6491738 6543460 8262212 10327765 12983476 14458871 16229345 20655530 22721083 28917742 32458690 41311060 45442166 57835484 64917380 72294355 90884332 113605415 144588710 159047581 179112953 227210830 289177420 318095162 358225906 454421660 636190324 716451812 795237905 895564765 1253790671 1590475810 1791129530 1970242483 2507581342 3180951620 3582259060 3940484966 5015162684 6268953355 7880969932 8776534697 9851212415 12537906710 13791697381 17553069394 19702424830 25075813420 27583394762 35106138788 39404849660 43882673485 55166789524 68958486905 87765346970 96541881667 137916973810 175530693940 193083763334 275833947620 386167526668 482709408335 965418816670 1930837633340