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23007255744 = 2631120115417
BaseRepresentation
bin10101011011010101…
…101101110011000000
32012101102012200121010
4111123111231303000
5334104324140434
614322553200520
71443066306234
oct253325556300
965342180533
1023007255744
119836aa5850
124561100140
13222872c8c5
14118385a5c4
158e9c949e9
hex55b56dcc0

23007255744 has 112 divisors (see below), whose sum is σ = 66452593536. Its totient is φ = 6967142400.

The previous prime is 23007255727. The next prime is 23007255757. The reversal of 23007255744 is 44755270032.

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, 4244524 + ... + 4249940.

It is an arithmetic number, because the mean of its divisors is an integer number (593326728).

Almost surely, 223007255744 is an apocalyptic number.

23007255744 is a gapful number since it is divisible by the number (24) 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 23007255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33226296768).

23007255744 is an abundant number, since it is smaller than the sum of its proper divisors (43445337792).

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

23007255744 is a wasteful number, since it uses less digits than its factorization.

23007255744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7444 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 39.

The spelling of 23007255744 in words is "twenty-three billion, seven million, two hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2011 2112 4022 5417 6033 8044 10834 12066 16088 16251 21668 22121 24132 32176 32502 43336 44242 48264 59587 64352 65004 66363 86672 88484 96528 119174 128704 130008 132726 173344 176968 178761 193056 238348 260016 265452 346688 353936 357522 386112 476696 520032 530904 707872 715044 953392 1040064 1061808 1415744 1430088 1906784 2123616 2860176 3813568 4247232 5720352 10893587 11440704 21787174 32680761 43574348 65361522 87148696 119829457 130723044 174297392 239658914 261446088 348594784 359488371 479317828 522892176 697189568 718976742 958635656 1045784352 1437953484 1917271312 2091568704 2875906968 3834542624 5751813936 7669085248 11503627872 23007255744