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20771607920 = 2457145925423
BaseRepresentation
bin10011010110000101…
…011001010101110000
31222121121110000022212
4103112011121111300
5320020012423140
613313051351252
71333511516450
oct232605312560
958547400285
1020771607920
11889a038518
124038452528
131c604c967b
14101097dd60
15818885765
hex4d6159570

20771607920 has 80 divisors (see below), whose sum is σ = 55233131520. Its totient is φ = 7116532992.

The previous prime is 20771607919. The next prime is 20771607931. The reversal of 20771607920 is 2970617702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804329 + ... + 829751.

It is an arithmetic number, because the mean of its divisors is an integer number (690414144).

Almost surely, 220771607920 is an apocalyptic number.

20771607920 is a gapful number since it is divisible by the number (20) 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 20771607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27616565760).

20771607920 is an abundant number, since it is smaller than the sum of its proper divisors (34461523600).

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

20771607920 is a wasteful number, since it uses less digits than its factorization.

20771607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26902 (or 26896 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The spelling of 20771607920 in words is "twenty billion, seven hundred seventy-one million, six hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1459 2918 5836 7295 10213 11672 14590 20426 23344 25423 29180 40852 50846 51065 58360 81704 101692 102130 116720 127115 163408 177961 203384 204260 254230 355922 406768 408520 508460 711844 817040 889805 1016920 1423688 1779610 2033840 2847376 3559220 7118440 14236880 37092157 74184314 148368628 185460785 259645099 296737256 370921570 519290198 593474512 741843140 1038580396 1298225495 1483686280 2077160792 2596450990 2967372560 4154321584 5192901980 10385803960 20771607920