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20481414840 = 23335149127277
BaseRepresentation
bin10011000100110010…
…011001011010111000
31221212101101200021000
4103010302121122320
5313421220233330
613224203445000
71323356103465
oct230462313270
957771350230
1020481414840
118760252127
123b77226760
131c153535a3
14dc420066c
157ed162560
hex4c4c996b8

20481414840 has 128 divisors (see below), whose sum is σ = 68730120000. Its totient is φ = 5425012224.

The previous prime is 20481414827. The next prime is 20481414851. The reversal of 20481414840 is 4841418402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20481414795 and 20481414804.

It is a congruent number.

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, 97282 + ... + 224558.

Almost surely, 220481414840 is an apocalyptic number.

20481414840 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 20481414840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34365060000).

20481414840 is an abundant number, since it is smaller than the sum of its proper divisors (48248705160).

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

20481414840 is a wasteful number, since it uses less digits than its factorization.

20481414840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127446 (or 127436 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 20481414840 in words is "twenty billion, four hundred eighty-one million, four hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 1080 1192 1341 1490 1788 2235 2682 2980 3576 4023 4470 5364 5960 6705 8046 8940 10728 13410 16092 17880 20115 26820 32184 40230 53640 80460 127277 160920 254554 381831 509108 636385 763662 1018216 1145493 1272770 1527324 1909155 2290986 2545540 3054648 3436479 3818310 4581972 5091080 5727465 6872958 7636620 9163944 11454930 13745916 15273240 17182395 18964273 22909860 27491832 34364790 37928546 45819720 56892819 68729580 75857092 94821365 113785638 137459160 151714184 170678457 189642730 227571276 284464095 341356914 379285460 455142552 512035371 568928190 682713828 758570920 853392285 1024070742 1137856380 1365427656 1706784570 2048141484 2275712760 2560176855 3413569140 4096282968 5120353710 6827138280 10240707420 20481414840