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803466985040 = 245313710698191
BaseRepresentation
bin10111011000100100101…
…11010011111001010000
32211210212222212211100222
423230102113103321100
5101131000022010130
61413035125532212
7112022442455066
oct13542227237120
92753788784328
10803466985040
1128a826191995
1210b873574068
135a9c7326905
142ac609ac036
1515d7787bce5
hexbb125d3e50

803466985040 has 160 divisors (see below), whose sum is σ = 1982532157440. Its totient is φ = 302293555200.

The previous prime is 803466985031. The next prime is 803466985063. The reversal of 803466985040 is 40589664308.

803466985040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 98087345 + ... + 98095535.

It is an arithmetic number, because the mean of its divisors is an integer number (12390825984).

Almost surely, 2803466985040 is an apocalyptic number.

803466985040 is a gapful number since it is divisible by the number (80) 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 803466985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991266078720).

803466985040 is an abundant number, since it is smaller than the sum of its proper divisors (1179065172400).

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

803466985040 is a wasteful number, since it uses less digits than its factorization.

803466985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 803466985040 in words is "eight hundred three billion, four hundred sixty-six million, nine hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 592 620 740 1069 1147 1240 1480 2138 2294 2480 2960 4276 4588 5345 5735 8191 8552 9176 10690 11470 16382 17104 18352 21380 22940 32764 33139 39553 40955 42760 45880 65528 66278 79106 81910 85520 91760 131056 132556 158212 163820 165695 197765 253921 265112 303067 316424 327640 331390 395530 507842 530224 606134 632848 655280 662780 791060 1015684 1212268 1226143 1269605 1325560 1515335 1582120 2031368 2424536 2452286 2539210 2651120 3030670 3164240 4062736 4849072 4904572 5078420 6061340 6130715 8756179 9395077 9809144 10156840 12122680 12261430 17512358 18790154 19618288 20313680 24245360 24522860 35024716 37580308 43780895 46975385 49045720 70049432 75160616 87561790 93950770 98091440 140098864 150321232 175123580 187901540 271441549 323978623 350247160 375803080 542883098 647957246 700494320 751606160 1085766196 1295914492 1357207745 1619893115 2171532392 2591828984 2714415490 3239786230 4343064784 5183657968 5428830980 6479572460 10043337313 10857661960 12959144920 20086674626 21715323920 25918289840 40173349252 50216686565 80346698504 100433373130 160693397008 200866746260 401733492520 803466985040