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20974121856 = 27343165257
BaseRepresentation
bin10011100010001001…
…111011001110000000
32000010201111210020000
4103202021323032000
5320423333344411
613345124120000
71341521044212
oct234211731600
960121453200
1020974121856
118993388206
124094236000
131c93453cbc
14102d8185b2
1582b539956
hex4e227b380

20974121856 has 160 divisors (see below), whose sum is σ = 64433138880. Its totient is φ = 6765742080.

The previous prime is 20974121821. The next prime is 20974121867. The reversal of 20974121856 is 65812147902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288780 + ... + 354036.

It is an arithmetic number, because the mean of its divisors is an integer number (402707118).

Almost surely, 220974121856 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 20974121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32216569440).

20974121856 is an abundant number, since it is smaller than the sum of its proper divisors (43459017024).

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

20974121856 is an equidigital number, since it uses as much as digits as its factorization.

20974121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65314 (or 65293 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 20974121856 in words is "twenty billion, nine hundred seventy-four million, one hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8928 10044 10368 11904 13392 17856 20088 26784 35712 40176 53568 65257 80352 107136 130514 160704 195771 261028 321408 391542 522056 587313 783084 1044112 1174626 1566168 1761939 2022967 2088224 2349252 3132336 3523878 4045934 4176448 4698504 5285817 6068901 6264672 7047756 8091868 8352896 9397008 10571634 12137802 12529344 14095512 16183736 18206703 18794016 21143268 24275604 25058688 28191024 32367472 36413406 37588032 42286536 48551208 54620109 56382048 64734944 72826812 75176064 84573072 97102416 109240218 112764096 129469888 145653624 163860327 169146144 194204832 218480436 225528192 258939776 291307248 327720654 338292288 388409664 436960872 582614496 655441308 676584576 776819328 873921744 1165228992 1310882616 1747843488 2330457984 2621765232 3495686976 5243530464 6991373952 10487060928 20974121856