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20513540415354 = 237317906764667
BaseRepresentation
bin1001010101000001011100…
…10010100001111101111010
32200122002000220100120212020
410222200232102201331322
510142043212321242404
6111343442415255310
74215024440361000
oct452405622417572
980562026316766
1020513540415354
11659981a860a48
1223737b321a536
13b5a5597691ac
1450cc098c2a70
1525890e5b8ed9
hex12a82e4a1f7a

20513540415354 has 128 divisors (see below), whose sum is σ = 50665774233600. Its totient is φ = 5515552482048.

The previous prime is 20513540415341. The next prime is 20513540415391. The reversal of 20513540415354 is 45351404531502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317185729 + ... + 317250395.

It is an arithmetic number, because the mean of its divisors is an integer number (395826361200).

Almost surely, 220513540415354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20513540415354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25332887116800).

20513540415354 is an abundant number, since it is smaller than the sum of its proper divisors (30152233818246).

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

20513540415354 is a wasteful number, since it uses less digits than its factorization.

20513540415354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73777 (or 73763 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 20513540415354 its reverse (45351404531502), we get a palindrome (65864944946856).

The spelling of 20513540415354 in words is "twenty trillion, five hundred thirteen billion, five hundred forty million, four hundred fifteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 357 686 714 833 1029 1666 2058 2499 4998 5831 9067 11662 17493 18134 27201 34986 54402 63469 64667 126938 129334 154139 190407 194001 308278 380814 388002 444283 452669 462417 888566 905338 924834 1078973 1099339 1332849 1358007 2157946 2198678 2665698 2716014 3109981 3168683 3236919 3298017 6219962 6337366 6473838 6596034 7552811 7695373 9329943 9506049 15105622 15390746 18659886 19012098 22180781 22658433 23086119 44361562 45316866 46172238 52869677 53867611 66542343 105739354 107735222 133084686 158609031 161602833 317218062 323205666 377073277 586335689 754146554 1131219831 1172671378 1759007067 2262439662 3518014134 4104349823 8208699646 9967706713 12313049469 19935413426 24626098938 28730448761 29903120139 57460897522 59806240278 69773946991 86191346283 139547893982 172382692566 201113141327 209321840973 402226282654 418643681946 488417628937 603339423981 976835257874 1206678847962 1465252886811 2930505773622 3418923402559 6837846805118 10256770207677 20513540415354