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2664065445054 = 2313172518779127
BaseRepresentation
bin100110110001000110101…
…011001010110010111110
3100102200102022010201101120
4212301012223022302332
5322122001223220204
65355504344051410
7363321011440206
oct46610653126276
910380368121346
102664065445054
11937907545492
12370392163b66
131642b2ca5940
1492d274d5406
154947244e6d9
hex26c46acacbe

2664065445054 has 128 divisors (see below), whose sum is σ = 6107345298432. Its totient is φ = 767460096000.

The previous prime is 2664065445043. The next prime is 2664065445101. The reversal of 2664065445054 is 4505445604662.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2664065444988 and 2664065445006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291883839 + ... + 291892965.

It is an arithmetic number, because the mean of its divisors is an integer number (47713635144).

Almost surely, 22664065445054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664065445054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053672649216).

2664065445054 is an abundant number, since it is smaller than the sum of its proper divisors (3443279853378).

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

2664065445054 is a wasteful number, since it uses less digits than its factorization.

2664065445054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290.

The product of its (nonzero) digits is 13824000, while the sum is 51.

The spelling of 2664065445054 in words is "two trillion, six hundred sixty-four billion, sixty-five million, four hundred forty-five thousand, fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 251 442 502 663 753 877 1326 1506 1754 2631 3263 4267 5262 6526 8534 9127 9789 11401 12801 14909 18254 19578 22802 25602 27381 29818 34203 44727 54762 55471 68406 89454 110942 118651 155159 166413 193817 220127 237302 310318 332826 355953 387634 440254 465477 581451 660381 711906 930954 1162902 1320762 2017067 2290877 2861651 3742159 4034134 4581754 5723302 6051201 6872631 7484318 8004379 8584953 11226477 12102402 13745262 16008758 17169906 22452954 24013137 29781401 38944909 48026274 48648067 59562802 77889818 89344203 97296134 104056927 116834727 136074443 145944201 178688406 208113854 233669454 272148886 291888402 312170781 408223329 506283817 624341562 816446658 1012567634 1518851451 1768967759 2009099129 3037702902 3537935518 4018198258 5306903277 6027297387 10613806554 12054594774 26118288677 34154685193 52236577354 68309370386 78354866031 102464055579 156709732062 204928111158 444010907509 888021815018 1332032722527 2664065445054