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20412157584 = 24371317274889
BaseRepresentation
bin10011000000101010…
…001100111010010000
31221200120002001011110
4103000222030322100
5313301003020314
613213251213320
71321555322340
oct230052147220
957616061143
1020412157584
118725149125
123b57ba7240
131c03bb4b70
14db8d32d20
157e7031a59
hex4c0a8ce90

20412157584 has 160 divisors (see below), whose sum is σ = 68718101760. Its totient is φ = 5066735616.

The previous prime is 20412157583. The next prime is 20412157603. The reversal of 20412157584 is 48575121402.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20412157583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63189 + ... + 211700.

It is an arithmetic number, because the mean of its divisors is an integer number (429488136).

Almost surely, 220412157584 is an apocalyptic number.

20412157584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20412157584 is an abundant number, since it is smaller than the sum of its proper divisors (48305944176).

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

20412157584 is a wasteful number, since it uses less digits than its factorization.

20412157584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274937 (or 274931 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

Adding to 20412157584 its reverse (48575121402), we get a palindrome (68987278986).

The spelling of 20412157584 in words is "twenty billion, four hundred twelve million, one hundred fifty-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 37128 74256 274889 549778 824667 1099556 1649334 1924223 2199112 3298668 3573557 3848446 4398224 4673113 5772669 6597336 7147114 7696892 9346226 10720671 11545338 13194672 14019339 14294228 15393784 18692452 21441342 23090676 25014899 28038678 28588456 30787568 32711791 37384904 42882684 46181352 50029798 56077356 57176912 60750469 65423582 74769808 75044697 85765368 92362704 98135373 100059596 112154712 121500938 130847164 150089394 171530736 182251407 196270746 200119192 224309424 243001876 261694328 300178788 364502814 392541492 400238384 425253283 486003752 523388656 600357576 729005628 785082984 850506566 972007504 1200715152 1275759849 1458011256 1570165968 1701013132 2551519698 2916022512 3402026264 5103039396 6804052528 10206078792 20412157584