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23006444848464 = 24371131092002151
BaseRepresentation
bin1010011101100100110101…
…11110010000010101010000
310000110101122200212000011010
411032302122332100111100
511003414144340122324
6120533003113050520
74563106102416450
oct516623276202520
9100411580760133
1023006444848464
11736aa84381860
1226b69779b6a40
13cab6630c462c
1459773707dd60
1529d6b52d4829
hex14ec9af90550

23006444848464 has 160 divisors (see below), whose sum is σ = 74122550138880. Its totient is φ = 5973774912000.

The previous prime is 23006444848459. The next prime is 23006444848481. The reversal of 23006444848464 is 46484844460032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10489789 + ... + 12491939.

It is an arithmetic number, because the mean of its divisors is an integer number (463265938368).

Almost surely, 223006444848464 is an apocalyptic number.

23006444848464 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 23006444848464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37061275069440).

23006444848464 is an abundant number, since it is smaller than the sum of its proper divisors (51116105290416).

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

23006444848464 is a wasteful number, since it uses less digits than its factorization.

23006444848464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005289 (or 2005283 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 57.

The spelling of 23006444848464 in words is "twenty-three trillion, six billion, four hundred forty-four million, eight hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3109 3696 6218 9327 12436 18654 21763 24872 34199 37308 43526 49744 65289 68398 74616 87052 102597 130578 136796 149232 174104 205194 239393 261156 273592 348208 410388 478786 522312 547184 718179 820776 957572 1044624 1436358 1641552 1915144 2002151 2872716 3830288 4004302 5745432 6006453 8008604 11490864 12012906 14015057 16017208 22023661 24025812 28030114 32034416 42045171 44047322 48051624 56060228 66070983 84090342 88094644 96103248 112120456 132141966 154165627 168180684 176189288 224240912 264283932 308331254 336361368 352378576 462496881 528567864 616662508 672722736 924993762 1057135728 1233325016 1849987524 2466650032 3699975048 6224687459 7399950096 12449374918 18674062377 24898749836 37348124754 43572812213 49797499672 68471562049 74696249508 87145624426 99594999344 130718436639 136943124098 149392499016 174291248852 205414686147 261436873278 273886248196 298784998032 348582497704 410829372294 479300934343 522873746556 547772496392 697164995408 821658744588 958601868686 1045747493112 1095544992784 1437902803029 1643317489176 1917203737372 2091494986224 2875805606058 3286634978352 3834407474744 5751611212116 7668814949488 11503222424232 23006444848464