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23940220928 = 2111322632
BaseRepresentation
bin10110010010111100…
…101100100000000000
32021210102202020020012
4112102330230200000
5343012144032203
614555322004052
71505155343321
oct262274544000
967712666205
1023940220928
11a1756a3358
124781646628
132346ac8b00
141231718448
15951b33bd8
hex592f2c800

23940220928 has 108 divisors (see below), whose sum is σ = 52032048705. Its totient is φ = 11007320064.

The previous prime is 23940220903. The next prime is 23940220943. The reversal of 23940220928 is 82902204932.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 20469597184 + 3470623744 = 143072^2 + 58912^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=109408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91027325 + ... + 91027587.

Almost surely, 223940220928 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 23940220928

23940220928 is an abundant number, since it is smaller than the sum of its proper divisors (28091827777).

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

23940220928 is an frugal number, since it uses more digits than its factorization.

23940220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 23940220928 in words is "twenty-three billion, nine hundred forty million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 263 338 416 512 526 676 832 1024 1052 1352 1664 2048 2104 2704 3328 3419 4208 5408 6656 6838 8416 10816 13312 13676 16832 21632 26624 27352 33664 43264 44447 54704 67328 69169 86528 88894 109408 134656 138338 173056 177788 218816 269312 276676 346112 355576 437632 538624 553352 711152 875264 899197 1106704 1422304 1750528 1798394 2213408 2844608 3501056 3596788 4426816 5689216 7002112 7193576 8853632 11378432 11689561 14387152 17707264 22756864 23379122 28774304 35414528 45513728 46758244 57548608 70829056 91027456 93516488 115097216 141658112 187032976 230194432 374065952 460388864 748131904 920777728 1496263808 1841555456 2992527616 5985055232 11970110464 23940220928