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20892392856 = 23341910715859
BaseRepresentation
bin10011011101010010…
…001001110110011000
31222221000201112010000
4103131102021312120
5320241423032411
613333044253000
71336506260226
oct233522116630
958830645100
1020892392856
118951235a85
1240709a1160
131c7c53994a
141022a21b16
15824293956
hex4dd489d98

20892392856 has 160 divisors (see below), whose sum is σ = 62177544000. Its totient is φ = 6535525824.

The previous prime is 20892392849. The next prime is 20892392863. The reversal of 20892392856 is 65829329802.

It is an interprime number because it is at equal distance from previous prime (20892392849) and next prime (20892392863).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1309455 + ... + 1325313.

It is an arithmetic number, because the mean of its divisors is an integer number (388609650).

Almost surely, 220892392856 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 20892392856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31088772000).

20892392856 is an abundant number, since it is smaller than the sum of its proper divisors (41285151144).

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

20892392856 is a wasteful number, since it uses less digits than its factorization.

20892392856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16003 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20892392856 in words is "twenty billion, eight hundred ninety-two million, three hundred ninety-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 107 108 114 152 162 171 214 216 228 321 324 342 428 456 513 642 648 684 856 963 1026 1284 1368 1539 1926 2033 2052 2568 2889 3078 3852 4066 4104 5778 6099 6156 7704 8132 8667 11556 12198 12312 15859 16264 17334 18297 23112 24396 31718 34668 36594 47577 48792 54891 63436 69336 73188 95154 109782 126872 142731 146376 164673 190308 219564 285462 301321 329346 380616 428193 439128 570924 602642 658692 856386 903963 1141848 1205284 1284579 1317384 1696913 1712772 1807926 2410568 2569158 2711889 3393826 3425544 3615852 5090739 5138316 5423778 6787652 7231704 8135667 10181478 10276632 10847556 13575304 15272217 16271334 20362956 21695112 24407001 30544434 32241347 32542668 40725912 45816651 48814002 61088868 64482694 65085336 91633302 96724041 97628004 122177736 128965388 137449953 183266604 193448082 195256008 257930776 274899906 290172123 366533208 386896164 549799812 580344246 773792328 870516369 1099599624 1160688492 1741032738 2321376984 2611549107 3482065476 5223098214 6964130952 10446196428 20892392856