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21030180609640 = 23523371901324991
BaseRepresentation
bin1001100100000011110000…
…11100011101111001101000
32202110110120110000202100211
410302001320130131321220
510224024302214002030
6112421044231510504
74300244323514326
oct462017034357150
982413513022324
1021030180609640
116778938775724
122437958b28434
13b971a319cb77
14529c1aac4d16
1526709b00012a
hex13207871de68

21030180609640 has 128 divisors (see below), whose sum is σ = 50736503070720. Its totient is φ = 7824719232000.

The previous prime is 21030180609631. The next prime is 21030180609649. The reversal of 21030180609640 is 4690608103012.

It is an interprime number because it is at equal distance from previous prime (21030180609631) and next prime (21030180609649).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21030180609593 and 21030180609602.

It is not an unprimeable number, because it can be changed into a prime (21030180609649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64547545 + ... + 64872535.

It is an arithmetic number, because the mean of its divisors is an integer number (396378930240).

Almost surely, 221030180609640 is an apocalyptic number.

21030180609640 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 21030180609640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25368251535360).

21030180609640 is an abundant number, since it is smaller than the sum of its proper divisors (29706322461080).

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

21030180609640 is a wasteful number, since it uses less digits than its factorization.

21030180609640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326963 (or 326959 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 21030180609640 in words is "twenty-one trillion, thirty billion, one hundred eighty million, six hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 740 851 920 1480 1702 1901 3404 3802 4255 6808 7604 8510 9505 15208 17020 19010 34040 38020 43723 70337 76040 87446 140674 174892 218615 281348 324991 349784 351685 437230 562696 649982 703370 874460 1299964 1406740 1617751 1624955 1748920 2599928 2813480 3235502 3249910 6471004 6499820 7474793 8088755 12024667 12942008 12999640 14949586 16177510 24049334 29899172 32355020 37373965 48098668 59798344 60123335 64710040 74747930 96197336 120246670 149495860 240493340 276567341 298991720 480986680 553134682 617807891 1106269364 1235615782 1382836705 2212538728 2471231564 2765673410 3089039455 4942463128 5531346820 6178078910 11062693640 12356157820 14209581493 22858891967 24712315640 28419162986 45717783934 56838325972 71047907465 91435567868 113676651944 114294459835 142095814930 182871135736 228588919670 284191629860 457177839340 525754515241 568383259720 914355678680 1051509030482 2103018060964 2628772576205 4206036121928 5257545152410 10515090304820 21030180609640