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21337622040 = 2335727539227
BaseRepresentation
bin10011110111110100…
…100100011000011000
32001002001111111201210
4103313310210120120
5322144412401130
613445151143120
71353523536420
oct236764443030
961061444653
1021337622040
11905a593289
124175b14aa0
132020855c77
141065bdb480
1584d3dd5b0
hex4f7d24618

21337622040 has 128 divisors (see below), whose sum is σ = 73192066560. Its totient is φ = 4874870784.

The previous prime is 21337622039. The next prime is 21337622051. The reversal of 21337622040 is 4022673312.

It is a super-2 number, since 2×213376220402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21337621989 and 21337622007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2307907 + ... + 2317133.

It is an arithmetic number, because the mean of its divisors is an integer number (571813020).

Almost surely, 221337622040 is an apocalyptic number.

21337622040 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 21337622040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36596033280).

21337622040 is an abundant number, since it is smaller than the sum of its proper divisors (51854444520).

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

21337622040 is a wasteful number, since it uses less digits than its factorization.

21337622040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 21337622040 in words is "twenty-one billion, three hundred thirty-seven million, six hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2753 5506 8259 9227 11012 13765 16518 18454 19271 22024 27530 27681 33036 36908 38542 41295 46135 55060 55362 57813 64589 66072 73816 77084 82590 92270 96355 110120 110724 115626 129178 138405 154168 165180 184540 192710 193767 221448 231252 258356 276810 289065 322945 330360 369080 385420 387534 462504 516712 553620 578130 645890 770840 775068 968835 1107240 1156260 1291780 1550136 1937670 2312520 2583560 3875340 7750680 25401931 50803862 76205793 101607724 127009655 152411586 177813517 203215448 254019310 304823172 355627034 381028965 508038620 533440551 609646344 711254068 762057930 889067585 1016077240 1066881102 1422508136 1524115860 1778135170 2133762204 2667202755 3048231720 3556270340 4267524408 5334405510 7112540680 10668811020 21337622040