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20524541004 = 223211232937691
BaseRepresentation
bin10011000111010110…
…111010010001001100
31221222101112201020100
4103013112322101030
5314013240303004
613232344051100
71324421501652
oct230726722114
957871481210
1020524541004
118782628490
123b89763a90
131c21273026
14dc9c28dd2
15801d30739
hex4c75ba44c

20524541004 has 144 divisors (see below), whose sum is σ = 59268029184. Its totient is φ = 5928067200.

The previous prime is 20524540979. The next prime is 20524541033. The reversal of 20524541004 is 40014542502.

20524541004 is a `hidden beast` number, since 2 + 0 + 5 + 245 + 410 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2664799 + ... + 2672489.

It is an arithmetic number, because the mean of its divisors is an integer number (411583536).

Almost surely, 220524541004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20524541004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29634014592).

20524541004 is an abundant number, since it is smaller than the sum of its proper divisors (38743488180).

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

20524541004 is a wasteful number, since it uses less digits than its factorization.

20524541004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 20524541004 in words is "twenty billion, five hundred twenty-four million, five hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 293 396 414 506 586 759 828 879 1012 1172 1518 1758 2277 2637 3036 3223 3516 4554 5274 6446 6739 7691 9108 9669 10548 12892 13478 15382 19338 20217 23073 26956 29007 30764 38676 40434 46146 58014 60651 69219 74129 80868 84601 92292 116028 121302 138438 148258 169202 176893 222387 242604 253803 276876 296516 338404 353786 444774 507606 530679 667161 707572 761409 889548 1015212 1061358 1334322 1522818 1592037 1945823 2122716 2253463 2668644 3045636 3184074 3891646 4506926 5837469 6368148 6760389 7783292 9013852 11674938 13520778 17512407 20281167 23349876 24788093 27041556 35024814 40562334 49576186 51829649 70049628 74364279 81124668 99152372 103659298 148728558 155488947 207318596 223092837 297457116 310977894 446185674 466466841 570126139 621955788 892371348 932933682 1140252278 1710378417 1865867364 2280504556 3420756834 5131135251 6841513668 10262270502 20524541004