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20972749680 = 2432541710459
BaseRepresentation
bin10011100010000100…
…101100001101110000
32000010121221001221200
4103202010230031300
5320423010442210
613345034451200
71341503300541
oct234204541560
960117831850
1020972749680
118992630283
124093893b00
131c9309356c
14102d57c4c8
1582b3680c0
hex4e212c370

20972749680 has 120 divisors (see below), whose sum is σ = 72151475760. Its totient is φ = 5456317440.

The previous prime is 20972749661. The next prime is 20972749717. The reversal of 20972749680 is 8694727902.

20972749680 is a `hidden beast` number, since 2 + 0 + 9 + 72 + 7 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325710 + ... + 384749.

It is an arithmetic number, because the mean of its divisors is an integer number (601262298).

Almost surely, 220972749680 is an apocalyptic number.

20972749680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20972749680 is an abundant number, since it is smaller than the sum of its proper divisors (51178726080).

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

20972749680 is a wasteful number, since it uses less digits than its factorization.

20972749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710519 (or 710510 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 20972749680 in words is "twenty billion, nine hundred seventy-two million, seven hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 710459 1420918 2131377 2841836 3552295 4262754 5683672 6394131 7104590 8525508 10656885 11367344 12788262 14209180 17051016 21313770 25576524 28418360 29128819 31970655 34102032 42627540 51153048 56836720 58257638 63941310 85255080 87386457 102306096 116515276 127882620 145644095 170510160 174772914 233030552 255765240 262159371 291288190 349545828 436932285 466061104 511530480 524318742 582576380 699091656 873864570 1048637484 1165152760 1310796855 1398183312 1747729140 2097274968 2330305520 2621593710 3495458280 4194549936 5243187420 6990916560 10486374840 20972749680