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20974925000 = 23554717851
BaseRepresentation
bin10011100010001100…
…111111010011001000
32000010210000120221002
4103202030333103020
5320424040100000
613345153234132
71341530630561
oct234214772310
960123016832
1020974925000
118993886667
124094562948
131c93675733
14102d987168
1582b6478d5
hex4e233f4c8

20974925000 has 96 divisors (see below), whose sum is σ = 50205536640. Its totient is φ = 8211000000.

The previous prime is 20974924991. The next prime is 20974925021. The reversal of 20974925000 is 52947902.

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 23 ways as a sum of consecutive naturals, for example, 1166075 + ... + 1183925.

It is an arithmetic number, because the mean of its divisors is an integer number (522974340).

Almost surely, 220974925000 is an apocalyptic number.

20974925000 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 20974925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25102768320).

20974925000 is an abundant number, since it is smaller than the sum of its proper divisors (29230611640).

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

20974925000 is an equidigital number, since it uses as much as digits as its factorization.

20974925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17929 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 20974925000 in words is "twenty billion, nine hundred seventy-four million, nine hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 940 1000 1175 1250 1880 2350 2500 3125 4700 5000 5875 6250 9400 11750 12500 17851 23500 25000 29375 35702 47000 58750 71404 89255 117500 142808 146875 178510 235000 293750 357020 446275 587500 714040 838997 892550 1175000 1677994 1785100 2231375 3355988 3570200 4194985 4462750 6711976 8389970 8925500 11156875 16779940 17851000 20974925 22313750 33559880 41949850 44627500 55784375 83899700 89255000 104874625 111568750 167799400 209749250 223137500 419498500 446275000 524373125 838997000 1048746250 2097492500 2621865625 4194985000 5243731250 10487462500 20974925000