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20818186038 = 232131913993347
BaseRepresentation
bin10011011000110111…
…000100111100110110
31222201212002102111100
4103120313010330312
5320113423423123
613321433550530
71334615442636
oct233067047466
958655072440
1020818186038
118913361331
12404bb75446
131c6a0573a0
141016c266c6
1581c9d6643
hex4d8dc4f36

20818186038 has 96 divisors (see below), whose sum is σ = 51184224000. Its totient is φ = 6062309568.

The previous prime is 20818186031. The next prime is 20818186061. The reversal of 20818186038 is 83068181802.

20818186038 is a `hidden beast` number, since 20 + 8 + 1 + 8 + 18 + 603 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20818185984 and 20818186002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20818186031) by changing a digit.

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, 6218281 + ... + 6221627.

It is an arithmetic number, because the mean of its divisors is an integer number (533169000).

Almost surely, 220818186038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20818186038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112000).

20818186038 is an abundant number, since it is smaller than the sum of its proper divisors (30366037962).

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

20818186038 is a wasteful number, since it uses less digits than its factorization.

20818186038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 20818186038 in words is "twenty billion, eight hundred eighteen million, one hundred eighty-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1399 1482 2223 2798 3347 4197 4446 6694 8394 10041 12591 18187 20082 25182 26581 30123 36374 43511 53162 54561 60246 63593 79743 87022 109122 127186 130533 159486 163683 190779 239229 261066 327366 345553 381558 391599 478458 572337 691106 783198 826709 1036659 1144674 1653418 2073318 2480127 3109977 4682453 4960254 6219954 7440381 9364906 14047359 14880762 28094718 42142077 60871889 84284154 88966607 121743778 177933214 182615667 266899821 365231334 533799642 547847001 800699463 1095694002 1156565891 1601398926 2313131782 3469697673 6939395346 10409093019 20818186038