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20010610004 = 227211149167373
BaseRepresentation
bin10010101000101110…
…011010110101010100
31220122120111022102212
4102220232122311110
5311440204010004
613105344452552
71305611243600
oct225056326524
956576438385
1020010610004
118539516520
123a6561a158
131b6b951048
14d7b888500
157c1b6496e
hex4a8b9ad54

20010610004 has 144 divisors (see below), whose sum is σ = 45125942400. Its totient is φ = 7677008640.

The previous prime is 20010610003. The next prime is 20010610013. The reversal of 20010610004 is 40001601002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010610003) by changing a digit.

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, 53647562 + ... + 53647934.

It is an arithmetic number, because the mean of its divisors is an integer number (313374600).

Almost surely, 220010610004 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 20010610004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562971200).

20010610004 is an abundant number, since it is smaller than the sum of its proper divisors (25115332396).

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

20010610004 is a wasteful number, since it uses less digits than its factorization.

20010610004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The spelling of 20010610004 in words is "twenty billion, ten million, six hundred ten thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 149 154 167 196 298 308 334 373 539 596 668 746 1043 1078 1169 1492 1639 1837 2086 2156 2338 2611 3278 3674 4103 4172 4676 5222 6556 7301 7348 8183 8206 10444 11473 12859 14602 16366 16412 18277 22946 24883 25718 28721 29204 32732 36554 45892 49766 51436 55577 57442 62291 73108 80311 90013 99532 111154 114884 124582 160622 174181 180026 201047 222308 249164 273713 321244 348362 360052 389039 402094 436037 547426 611347 685201 696724 778078 804188 872074 1094852 1219267 1222694 1370402 1556156 1744148 1915991 2438534 2445388 2723273 2740804 3052259 3831982 4279429 4796407 4877068 5446546 6104518 7663964 8558858 9281359 9592814 10893092 12209036 13411937 17117716 18562718 19185628 26823874 29956003 33574849 37125436 53647748 59912006 64969513 67149698 102094949 119824012 129939026 134299396 204189898 259878052 408379796 454786591 714664643 909573182 1429329286 1819146364 2858658572 5002652501 10005305002 20010610004