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21541415266540 = 225132389109115017
BaseRepresentation
bin1001110010111100000000…
…11001111010100011101100
32211021100011021020011121001
410321132000121322203230
510310413304302012130
6113451553424450044
74352213231426521
oct471360031724354
984240137204531
1021541415266540
116955732375134
1224baa54479924
13c03467a45100
1454687801d148
1527551d0c56ca
hex13978067a8ec

21541415266540 has 144 divisors (see below), whose sum is σ = 49158624846240. Its totient is φ = 7925507266560.

The previous prime is 21541415266531. The next prime is 21541415266561. The reversal of 21541415266540 is 4566251414512.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1434461112 + ... + 1434476128.

It is an arithmetic number, because the mean of its divisors is an integer number (341379339210).

Almost surely, 221541415266540 is an apocalyptic number.

21541415266540 is a gapful number since it is divisible by the number (20) 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 21541415266540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579312423120).

21541415266540 is an abundant number, since it is smaller than the sum of its proper divisors (27617209579700).

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

21541415266540 is a wasteful number, since it uses less digits than its factorization.

21541415266540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16532 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 21541415266540 in words is "twenty-one trillion, five hundred forty-one billion, four hundred fifteen million, two hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 389 676 778 845 1091 1556 1690 1945 2182 3380 3890 4364 5057 5455 7780 10114 10910 14183 15017 20228 21820 25285 28366 30034 50570 56732 60068 65741 70915 75085 101140 131482 141830 150170 184379 195221 262964 283660 300340 328705 368758 390442 424399 657410 737516 780884 848798 921895 976105 1314820 1697596 1843790 1952210 2121995 2537873 3687580 3904420 4243990 5075746 5517187 5841613 8487980 10151492 11034374 11683226 12689365 16383547 22068748 23366452 25378730 27585935 29208065 32767094 50757460 55171870 58416130 65534188 71723431 75940969 81917735 110343740 116832260 143446862 151881938 163835470 212986111 286893724 303763876 327670940 358617155 379704845 425972222 717234310 759409690 851944444 987232597 1064930555 1434468620 1518819380 1974465194 2129861110 2768819443 3948930388 4259722220 4936162985 5537638886 6373199783 9872325970 11075277772 12746399566 13844097215 19744651940 25492799132 27688194430 31865998915 55376388860 63731997830 82851597179 127463995660 165703194358 331406388716 414257985895 828515971790 1077070763327 1657031943580 2154141526654 4308283053308 5385353816635 10770707633270 21541415266540