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20034473643408 = 2437194957633091
BaseRepresentation
bin1001000111000101000111…
…01011110100110110010000
32121221021110220201001002110
410203202203223310312100
510111221100223042113
6110335413215545320
74135304635115610
oct443424353646620
977837426631073
1020034473643408
11642463308a624
1222b699482b240
13b24320454ac3
144d39608b0a40
1524b2215e3bc3
hex1238a3af4d90

20034473643408 has 160 divisors (see below), whose sum is σ = 62275183498240. Its totient is φ = 5421762501120.

The previous prime is 20034473643397. The next prime is 20034473643491. The reversal of 20034473643408 is 80434637443002.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 31328943 + ... + 31962033.

It is an arithmetic number, because the mean of its divisors is an integer number (389219896864).

Almost surely, 220034473643408 is an apocalyptic number.

20034473643408 is a gapful number since it is divisible by the number (28) 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 20034473643408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31137591749120).

20034473643408 is an abundant number, since it is smaller than the sum of its proper divisors (42240709854832).

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

20034473643408 is a wasteful number, since it uses less digits than its factorization.

20034473643408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638085 (or 638079 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 20034473643408 in words is "twenty trillion, thirty-four billion, four hundred seventy-three million, six hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 4957 6384 9914 14871 19828 29742 34699 39656 59484 69398 79312 94183 104097 118968 138796 188366 208194 237936 277592 282549 376732 416388 555184 565098 633091 659281 753464 832776 1130196 1266182 1318562 1506928 1665552 1899273 1977843 2260392 2532364 2637124 3798546 3955686 4431637 4520784 5064728 5274248 7597092 7911372 8863274 10129456 10548496 12028729 13294911 15194184 15822744 17726548 24057458 26589822 30388368 31645488 35453096 36086187 48114916 53179644 70906192 72172374 84201103 96229832 106359288 144344748 168402206 192459664 212718576 252603309 288689496 336804412 505206618 577378992 673608824 1010413236 1347217648 2020826472 3138232087 4041652944 6276464174 9414696261 12552928348 18829392522 21967624609 25105856696 37658785044 43935249218 50211713392 59626409653 65902873827 75317570088 87870498436 119252819306 131805747654 150635140176 175740996872 178879228959 238505638612 263611495308 351481993744 357758457918 417384867571 477011277224 527222990616 715516915836 834769735142 954022554448 1054445981232 1252154602713 1431033831672 1669539470284 2504309205426 2862067663344 3339078940568 5008618410852 6678157881136 10017236821704 20034473643408