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20402037072 = 2432678272557
BaseRepresentation
bin10011000000000011…
…100110000101010000
31221122212000212102200
4103000003212011100
5313240410141242
613212250243200
71321403311434
oct230003460520
957585025380
1020402037072
11871a46646a
123b54726500
131c01a804b1
14db785a9c4
157e61d304c
hex4c00e6150

20402037072 has 120 divisors (see below), whose sum is σ = 58042329696. Its totient is φ = 6688459008.

The previous prime is 20402037043. The next prime is 20402037079. The reversal of 20402037072 is 27073020402.

20402037072 is a `hidden beast` number, since 204 + 0 + 20 + 370 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402037079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7977618 + ... + 7980174.

Almost surely, 220402037072 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 20402037072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29021164848).

20402037072 is an abundant number, since it is smaller than the sum of its proper divisors (37640292624).

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

20402037072 is a wasteful number, since it uses less digits than its factorization.

20402037072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

Adding to 20402037072 its reverse (27073020402), we get a palindrome (47475057474).

The spelling of 20402037072 in words is "twenty billion, four hundred two million, thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 827 1072 1206 1608 1654 2412 2481 2557 3216 3308 4824 4962 5114 6616 7443 7671 9648 9924 10228 13232 14886 15342 19848 20456 23013 29772 30684 39696 40912 46026 55409 59544 61368 92052 110818 119088 122736 166227 171319 184104 221636 332454 342638 368208 443272 498681 513957 664908 685276 886544 997362 1027914 1329816 1370552 1541871 1994724 2055828 2114639 2659632 2741104 3083742 3989448 4111656 4229278 6167484 6343917 7978896 8223312 8458556 12334968 12687834 16917112 19031751 24669936 25375668 33834224 38063502 50751336 76127004 101502672 141680813 152254008 283361626 304508016 425042439 566723252 850084878 1133446504 1275127317 1700169756 2266893008 2550254634 3400339512 5100509268 6800679024 10201018536 20402037072