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20682107904 = 210318793583
BaseRepresentation
bin10011010000101111…
…111110110000000000
31222101101000221101110
4103100233332300000
5314324104423104
613300133203320
71331344005453
oct232057766000
958341027343
1020682107904
118853568867
124012490540
131c47ac1193
141002b2349a
15810aa6e89
hex4d0bfec00

20682107904 has 88 divisors (see below), whose sum is σ = 55170088960. Its totient is φ = 6888443904.

The previous prime is 20682107899. The next prime is 20682107969. The reversal of 20682107904 is 40970128602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5770497 + ... + 5774079.

Almost surely, 220682107904 is an apocalyptic number.

20682107904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20682107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585044480).

20682107904 is an abundant number, since it is smaller than the sum of its proper divisors (34487981056).

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

20682107904 is a wasteful number, since it uses less digits than its factorization.

20682107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20682107904 in words is "twenty billion, six hundred eighty-two million, one hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1879 3072 3583 3758 5637 7166 7516 10749 11274 14332 15032 21498 22548 28664 30064 42996 45096 57328 60128 85992 90192 114656 120256 171984 180384 229312 240512 343968 360768 458624 481024 687936 721536 917248 962048 1375872 1443072 1834496 1924096 2751744 2886144 3668992 5503488 5772288 6732457 11006976 13464914 20197371 26929828 40394742 53859656 80789484 107719312 161578968 215438624 323157936 430877248 646315872 861754496 1292631744 1723508992 2585263488 3447017984 5170526976 6894035968 10341053952 20682107904