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20358440718 = 2372118237649
BaseRepresentation
bin10010111101011101…
…010010011100001110
31221112210222221110220
4102331131102130032
5313143230100333
613204052012210
71320333614400
oct227535223416
957483887426
1020358440718
1186a7899920
123b42001066
131bc5a27a35
14db1b4cb70
157e24708b3
hex4bd75270e

20358440718 has 96 divisors (see below), whose sum is σ = 51739948800. Its totient is φ = 5280791040.

The previous prime is 20358440659. The next prime is 20358440737. The reversal of 20358440718 is 81704485302.

It is a super-2 number, since 2×203584407182 (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 a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20358440718.

It is a congruent number.

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, 2657758 + ... + 2665406.

It is an arithmetic number, because the mean of its divisors is an integer number (538957800).

Almost surely, 220358440718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20358440718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25869974400).

20358440718 is an abundant number, since it is smaller than the sum of its proper divisors (31381508082).

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

20358440718 is a wasteful number, since it uses less digits than its factorization.

20358440718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 20358440718 in words is "twenty billion, three hundred fifty-eight million, four hundred forty thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 823 1078 1617 1646 2469 3234 4938 5761 7649 9053 11522 15298 17283 18106 22947 27159 34566 40327 45894 53543 54318 63371 80654 84139 107086 120981 126742 160629 168278 190113 241962 252417 321258 374801 380226 443597 504834 588973 749602 887194 1124403 1177946 1330791 1766919 2248806 2661582 3533838 4122811 6295127 8245622 12368433 12590254 18885381 24736866 37770762 44065889 69246397 88131778 132197667 138492794 207739191 264395334 308461223 415478382 484724779 616922446 925383669 969449558 1454174337 1850767338 2908348674 3393073453 6786146906 10179220359 20358440718