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4021920864 = 253413119359
BaseRepresentation
bin1110111110111001…
…1010010001100000
3101101021221202020000
43233232122101200
531214102431424
61503031420000
7201444522543
oct35756322140
911337852200
104021920864
1117842a6745
12942b24600
134c1328240
142a221c85a
151881553c9
hexefb9a460

4021920864 has 120 divisors (see below), whose sum is σ = 12738337920. Its totient is φ = 1237503744.

The previous prime is 4021920863. The next prime is 4021920901. The reversal of 4021920864 is 4680291204.

4021920864 is a `hidden beast` number, since 402 + 192 + 0 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021920863) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 25984 + ... + 93375.

It is an arithmetic number, because the mean of its divisors is an integer number (106152816).

Almost surely, 24021920864 is an apocalyptic number.

It is an amenable number.

4021920864 is an abundant number, since it is smaller than the sum of its proper divisors (8716417056).

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

4021920864 is a wasteful number, since it uses less digits than its factorization.

4021920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119394 (or 119377 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4021920864 is about 63418.6160681546. The cubic root of 4021920864 is about 1590.2955378018.

The spelling of 4021920864 in words is "four billion, twenty-one million, nine hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 119359 238718 358077 477436 716154 954872 1074231 1432308 1551667 1909744 2148462 2864616 3103334 3222693 3819488 4296924 4655001 5729232 6206668 6445386 8593848 9310002 9668079 11458464 12413336 12890772 13965003 17187696 18620004 19336158 24826672 25781544 27930006 34375392 37240008 38672316 41895009 49653344 51563088 55860012 74480016 77344632 83790018 103126176 111720024 125685027 148960032 154689264 167580036 223440048 251370054 309378528 335160072 446880096 502740108 670320144 1005480216 1340640288 2010960432 4021920864