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45431110520 = 23519211491577
BaseRepresentation
bin101010010011111001…
…111011101101111000
311100021011122112111222
4222103321323231320
51221020331014040
632512030211212
73165553032155
oct522371735570
9140234575458
1045431110520
11182a374a834
12897a953b08
134390326023
1422ada1122c
1512ad6e9bb5
hexa93e7bb78

45431110520 has 128 divisors (see below), whose sum is σ = 108517881600. Its totient is φ = 17069875200.

The previous prime is 45431110481. The next prime is 45431110523. The reversal of 45431110520 is 2501113454.

It is a self number, because there is not a number n which added to its sum of digits gives 45431110520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45431110523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78736472 + ... + 78737048.

It is an arithmetic number, because the mean of its divisors is an integer number (847795950).

Almost surely, 245431110520 is an apocalyptic number.

45431110520 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 45431110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54258940800).

45431110520 is an abundant number, since it is smaller than the sum of its proper divisors (63086771080).

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

45431110520 is a wasteful number, since it uses less digits than its factorization.

45431110520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 45431110520 its reverse (2501113454), we get a palindrome (47932223974).

The spelling of 45431110520 in words is "forty-five billion, four hundred thirty-one million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 211 380 422 491 577 760 844 982 1055 1154 1688 1964 2110 2308 2455 2885 3928 4009 4220 4616 4910 5770 8018 8440 9329 9820 10963 11540 16036 18658 19640 20045 21926 23080 32072 37316 40090 43852 46645 54815 74632 80180 87704 93290 103601 109630 121747 160360 186580 207202 219260 243494 283307 373160 414404 438520 486988 518005 566614 608735 828808 973976 1036010 1133228 1217470 1416535 1968419 2072020 2266456 2313193 2434940 2833070 3936838 4144040 4626386 4869880 5382833 5666140 7873676 9252772 9842095 10765666 11332280 11565965 15747352 18505544 19684190 21531332 23131930 26914165 39368380 43062664 46263860 53828330 59777777 78736760 92527720 107656660 119555554 215313320 239111108 298888885 478222216 597777770 1135777763 1195555540 2271555526 2391111080 4543111052 5678888815 9086222104 11357777630 22715555260 45431110520