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20435037672 = 23377110316633
BaseRepresentation
bin10011000010000001…
…011110110111101000
31221202011010110202010
4103002001132313220
5313322332201142
613215425435520
71322253645210
oct230201366750
957664113663
1020435037672
118737056295
123b6379bba0
131c0886618a
14dbbdab240
157e9050e9c
hex4c205ede8

20435037672 has 128 divisors (see below), whose sum is σ = 59786588160. Its totient is φ = 5700119040.

The previous prime is 20435037671. The next prime is 20435037703. The reversal of 20435037672 is 27673053402.

It is a self number, because there is not a number n which added to its sum of digits gives 20435037672.

It is not an unprimeable number, because it can be changed into a prime (20435037671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220268 + ... + 1236900.

It is an arithmetic number, because the mean of its divisors is an integer number (467082720).

Almost surely, 220435037672 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 20435037672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29893294080).

20435037672 is an abundant number, since it is smaller than the sum of its proper divisors (39351550488).

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

20435037672 is a wasteful number, since it uses less digits than its factorization.

20435037672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16823 (or 16819 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 20435037672 in words is "twenty billion, four hundred thirty-five million, thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 103 142 168 206 213 284 309 412 426 497 568 618 721 824 852 994 1236 1442 1491 1704 1988 2163 2472 2884 2982 3976 4326 5768 5964 7313 8652 11928 14626 16633 17304 21939 29252 33266 43878 49899 51191 58504 66532 87756 99798 102382 116431 133064 153573 175512 199596 204764 232862 307146 349293 399192 409528 465724 614292 698586 931448 1180943 1228584 1397172 1713199 2361886 2794344 3426398 3542829 4723772 5139597 6852796 7085658 8266601 9447544 10279194 11992393 13705592 14171316 16533202 20558388 23984786 24799803 28342632 33066404 35977179 41116776 47969572 49599606 66132808 71954358 95939144 99199212 121637129 143908716 198398424 243274258 287817432 364911387 486548516 729822774 851459903 973097032 1459645548 1702919806 2554379709 2919291096 3405839612 5108759418 6811679224 10217518836 20435037672