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45840763640 = 2357238979979
BaseRepresentation
bin101010101100010100…
…101000101011111000
311101022201111001221202
4222230110220223320
51222340213414030
633020422353332
73211656030140
oct525424505370
9141281431852
1045840763640
1118493a09231
128a73b8b848
134427167319
14230c1a9920
1512d4668745
hexaac528af8

45840763640 has 128 divisors (see below), whose sum is σ = 124384896000. Its totient is φ = 14864391168.

The previous prime is 45840763637. The next prime is 45840763643. The reversal of 45840763640 is 4636704854.

It is an interprime number because it is at equal distance from previous prime (45840763637) and next prime (45840763643).

It is a super-2 number, since 2×458407636402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45840763643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533171 + ... + 613149.

It is an arithmetic number, because the mean of its divisors is an integer number (971757000).

Almost surely, 245840763640 is an apocalyptic number.

45840763640 is a gapful number since it is divisible by the number (40) 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 45840763640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62192448000).

45840763640 is an abundant number, since it is smaller than the sum of its proper divisors (78544132360).

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

45840763640 is a wasteful number, since it uses less digits than its factorization.

45840763640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80109 (or 80105 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 45840763640 in words is "forty-five billion, eight hundred forty million, seven hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 89 92 115 140 161 178 184 230 280 322 356 445 460 623 644 712 805 890 920 1246 1288 1610 1780 2047 2492 3115 3220 3560 4094 4984 6230 6440 8188 10235 12460 14329 16376 20470 24920 28658 40940 57316 71645 79979 81880 114632 143290 159958 286580 319916 399895 559853 573160 639832 799790 1119706 1599580 1839517 2239412 2799265 3199160 3679034 4478824 5598530 7118131 7358068 9197585 11197060 12876619 14236262 14716136 18395170 22394120 25753238 28472524 35590655 36790340 49826917 51506476 56945048 64383095 71181310 73580680 99653834 103012952 128766190 142362620 163717013 199307668 249134585 257532380 284725240 327434026 398615336 498269170 515064760 654868052 818585065 996538340 1146019091 1309736104 1637170130 1993076680 2292038182 3274340260 4584076364 5730095455 6548680520 9168152728 11460190910 22920381820 45840763640