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45157008820 = 225711215716979
BaseRepresentation
bin101010000011100100…
…010100010110110100
311022120001212201200011
4222003210110112310
51214440143240240
632424515230004
73156014145640
oct520344242664
9138501781604
1045157008820
1118172a55100
128902ba8304
1343485c5281
14228545dc20
1512946046ea
hexa839145b4

45157008820 has 144 divisors (see below), whose sum is σ = 119890753920. Its totient is φ = 13984439040.

The previous prime is 45157008803. The next prime is 45157008823. The reversal of 45157008820 is 2880075154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45157008823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651091 + ... + 2668069.

It is an arithmetic number, because the mean of its divisors is an integer number (832574680).

Almost surely, 245157008820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45157008820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59945376960).

45157008820 is an abundant number, since it is smaller than the sum of its proper divisors (74733745100).

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

45157008820 is a wasteful number, since it uses less digits than its factorization.

45157008820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17174 (or 17161 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The spelling of 45157008820 in words is "forty-five billion, one hundred fifty-seven million, eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 157 220 242 308 314 385 484 605 628 770 785 847 1099 1210 1540 1570 1694 1727 2198 2420 3140 3388 3454 4235 4396 5495 6908 8470 8635 10990 12089 16940 16979 17270 18997 21980 24178 33958 34540 37994 48356 60445 67916 75988 84895 94985 118853 120890 132979 169790 186769 189970 237706 241780 265958 339580 373538 379940 475412 531916 594265 664895 747076 933845 1188530 1307383 1329790 1867690 2054459 2377060 2614766 2659580 2665703 3735380 4108918 5229532 5331406 6536915 8217836 10272295 10662812 13073830 13328515 14381213 18659921 20544590 26147660 26657030 28762426 29322733 37319842 41089180 53314060 57524852 58645466 71906065 74639684 93299605 117290932 143812130 146613665 186599210 205259131 287624260 293227330 322550063 373198420 410518262 586454660 645100126 821036524 1026295655 1290200252 1612750315 2052591310 2257850441 3225500630 4105182620 4515700882 6451001260 9031401764 11289252205 22578504410 45157008820