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45909577320 = 23355313815227
BaseRepresentation
bin101010110000011011…
…001000111001101000
311101111111222011120120
4222300123020321220
51223010322433240
633031321323240
73213452653125
oct526033107150
9141444864516
1045909577320
1118519839a42
128a93036520
1344384abb89
14231739d74c
1512da70cad0
hexab06c8e68

45909577320 has 128 divisors (see below), whose sum is σ = 140455866240. Its totient is φ = 12000568320.

The previous prime is 45909577313. The next prime is 45909577333. The reversal of 45909577320 is 2377590954.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 8780547 + ... + 8785773.

It is an arithmetic number, because the mean of its divisors is an integer number (1097311455).

Almost surely, 245909577320 is an apocalyptic number.

45909577320 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 45909577320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227933120).

45909577320 is an abundant number, since it is smaller than the sum of its proper divisors (94546288920).

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

45909577320 is a wasteful number, since it uses less digits than its factorization.

45909577320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 45909577320 in words is "forty-five billion, nine hundred nine million, five hundred seventy-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1381 1590 2120 2762 3180 4143 5227 5524 6360 6905 8286 10454 11048 13810 15681 16572 20715 20908 26135 27620 31362 33144 41430 41816 52270 55240 62724 73193 78405 82860 104540 125448 146386 156810 165720 209080 219579 277031 292772 313620 365965 439158 554062 585544 627240 731930 831093 878316 1097895 1108124 1385155 1463860 1662186 1756632 2195790 2216248 2770310 2927720 3324372 4155465 4391580 5540620 6648744 7218487 8310930 8783160 11081240 14436974 16621860 21655461 28873948 33243720 36092435 43310922 57747896 72184870 86621844 108277305 144369740 173243688 216554610 288739480 382579811 433109220 765159622 866218440 1147739433 1530319244 1912899055 2295478866 3060638488 3825798110 4590957732 5738697165 7651596220 9181915464 11477394330 15303192440 22954788660 45909577320