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23428187008 = 273147269467
BaseRepresentation
bin10101110100011011…
…011100001110000000
32020110202021012201221
4111310123130032000
5340440103441013
614432431204424
71456400206132
oct256433341600
966422235657
1023428187008
119a32667726
12465a076714
1322949bc465
1411c370d052
15921be008d
hex5746dc380

23428187008 has 128 divisors (see below), whose sum is σ = 49492684800. Its totient is φ = 11030108160.

The previous prime is 23428186981. The next prime is 23428187093. The reversal of 23428187008 is 80078182432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50167191 + ... + 50167657.

It is an arithmetic number, because the mean of its divisors is an integer number (386661600).

Almost surely, 223428187008 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 23428187008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746342400).

23428187008 is an abundant number, since it is smaller than the sum of its proper divisors (26064497792).

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

23428187008 is a wasteful number, since it uses less digits than its factorization.

23428187008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 23428187008 in words is "twenty-three billion, four hundred twenty-eight million, one hundred eighty-seven thousand, eight".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 269 376 467 496 538 752 934 992 1076 1457 1504 1868 1984 2152 2914 3008 3736 3968 4304 5828 6016 7472 8339 8608 11656 12643 14477 14944 16678 17216 21949 23312 25286 28954 29888 33356 34432 43898 46624 50572 57908 59776 66712 87796 93248 101144 115816 125623 133424 175592 186496 202288 231632 251246 266848 351184 391933 404576 463264 502492 533696 680419 702368 783866 809152 926528 1004984 1067392 1360838 1404736 1567732 1618304 1853056 2009968 2721676 2809472 3135464 3894313 4019936 5443352 5904281 6270928 7788626 8039872 10886704 11808562 12541856 15577252 16079744 21773408 23617124 25083712 31154504 43546816 47234248 50167424 62309008 87093632 94468496 124618016 183032711 188936992 249236032 366065422 377873984 498472064 732130844 755747968 1464261688 2928523376 5857046752 11714093504 23428187008