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23277067441144 = 23116772715313547
BaseRepresentation
bin1010100101011100111010…
…10101100001001111111000
310001102021011212000010010021
411102232131111201033320
511022332413231104034
6121301200454300224
74621466300460226
oct522563525411770
9101367155003107
1023277067441144
117464826814130
12273b302957674
13ccb03083728a
145a688a721b16
152a575384b6b4
hex152b9d5613f8

23277067441144 has 128 divisors (see below), whose sum is σ = 48434539345920. Its totient is φ = 10398500323200.

The previous prime is 23277067441139. The next prime is 23277067441219. The reversal of 23277067441144 is 44114476077232.

It is a junction number, because it is equal to n+sod(n) for n = 23277067441091 and 23277067441100.

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, 6562464379 + ... + 6562467925.

It is an arithmetic number, because the mean of its divisors is an integer number (378394838640).

Almost surely, 223277067441144 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 23277067441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217269672960).

23277067441144 is an abundant number, since it is smaller than the sum of its proper divisors (25157471904776).

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

23277067441144 is a wasteful number, since it uses less digits than its factorization.

23277067441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 52.

The spelling of 23277067441144 in words is "twenty-three trillion, two hundred seventy-seven billion, sixty-seven million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 727 737 1454 1474 1531 2908 2948 3062 3547 5816 5896 6124 7094 7997 12248 14188 15994 16841 28376 31988 33682 39017 48709 63976 67364 78034 97418 102577 134728 156068 194836 205154 237649 312136 389672 410308 475298 535799 820616 950596 1071598 1113037 1128347 1901192 2143196 2226074 2256694 2578669 2614139 4286392 4452148 4513388 5157338 5228278 5430457 8904296 9026776 10314676 10456556 10860914 12243407 20629352 20913112 21721828 24486814 28365359 43443656 48973628 56730718 59735027 74573479 97947256 113461436 119470054 149146958 172770823 226922872 238940108 298293916 345541646 363840619 477880216 596587832 691083292 727681238 820308269 1382166584 1455362476 1640616538 1900479053 2910724952 3281233076 3800958106 3947942239 4002246809 6562466152 7601916212 7895884478 8004493618 15203832424 15791768956 16008987236 31583537912 32017974472 43427364629 86854729258 173709458516 264512130013 347418917032 529024260026 1058048520052 2116097040104 2909633430143 5819266860286 11638533720572 23277067441144