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20835419514 = 2371324097177
BaseRepresentation
bin10011011001111000…
…110100010101111010
31222210001111222101020
4103121320310111322
5320132331411024
613323251203310
71335215100210
oct233170642572
958701458336
1020835419514
118922062078
1240558a6536
131c707ac500
141019230cb0
1581e28c979
hex4d9e3457a

20835419514 has 96 divisors (see below), whose sum is σ = 51702272640. Its totient is φ = 5480856576.

The previous prime is 20835419509. The next prime is 20835419531. The reversal of 20835419514 is 41591453802.

It is a super-2 number, since 2×208354195142 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2899494 + ... + 2906670.

It is an arithmetic number, because the mean of its divisors is an integer number (538565340).

Almost surely, 220835419514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20835419514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25851136320).

20835419514 is an abundant number, since it is smaller than the sum of its proper divisors (30866853126).

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

20835419514 is a wasteful number, since it uses less digits than its factorization.

20835419514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 20835419514 in words is "twenty billion, eight hundred thirty-five million, four hundred nineteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 409 507 546 818 1014 1183 1227 2366 2454 2863 3549 5317 5726 7098 7177 8589 10634 14354 15951 17178 21531 31902 37219 43062 50239 69121 74438 93301 100478 111657 138242 150717 186602 207363 223314 279903 301434 414726 483847 559806 653107 967694 1212913 1306214 1451541 1959321 2425826 2903082 2935393 3638739 3918642 5870786 7277478 8490391 8806179 16980782 17612358 20547751 25471173 38160109 41095502 50942346 61643253 76320218 114480327 123286506 228960654 267120763 496081417 534241526 801362289 992162834 1488244251 1602724578 2976488502 3472569919 6945139838 10417709757 20835419514