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21037037040 = 2433519974877
BaseRepresentation
bin10011100101111001…
…111011010111110000
32000022002220012122000
4103211321323113300
5321040440141130
613355252414000
71343213602335
oct234571732760
960262805560
1021037037040
118a1594a328
1240b1317300
131ca34b1b16
141037d1498c
15831d16260
hex4e5e7b5f0

21037037040 has 160 divisors (see below), whose sum is σ = 72512055360. Its totient is φ = 5605917696.

The previous prime is 21037037029. The next prime is 21037037057. The reversal of 21037037040 is 4073073012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21037036995 and 21037037013.

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, 4311082 + ... + 4315958.

It is an arithmetic number, because the mean of its divisors is an integer number (453200346).

Almost surely, 221037037040 is an apocalyptic number.

21037037040 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 21037037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36256027680).

21037037040 is an abundant number, since it is smaller than the sum of its proper divisors (51475018320).

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

21037037040 is a wasteful number, since it uses less digits than its factorization.

21037037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 21037037040 in words is "twenty-one billion, thirty-seven million, thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1997 2160 3994 4877 5991 7988 9754 9985 11982 14631 15976 17973 19508 19970 23964 24385 29262 29955 31952 35946 39016 39940 43893 47928 48770 53919 58524 59910 71892 73155 78032 79880 87786 89865 95856 97540 107838 117048 119820 131679 143784 146310 159760 175572 179730 195080 215676 219465 234096 239640 263358 269595 287568 292620 351144 359460 390160 431352 438930 479280 526716 539190 585240 658395 702288 718920 862704 877860 1053432 1078380 1170480 1316790 1437840 1755720 2106864 2156760 2633580 3511440 4313520 5267160 9739369 10534320 19478738 29218107 38957476 48696845 58436214 77914952 87654321 97393690 116872428 146090535 155829904 175308642 194787380 233744856 262962963 292181070 350617284 389574760 438271605 467489712 525925926 584362140 701234568 779149520 876543210 1051851852 1168724280 1314814815 1402469136 1753086420 2103703704 2337448560 2629629630 3506172840 4207407408 5259259260 7012345680 10518518520 21037037040