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65623411316064 = 2537540718060641
BaseRepresentation
bin11101110101111001001000…
…00111101101010101100000
322121100112111100212210000210
432322330210013231111200
532100133221244103224
6351322551243014120
716552064210440440
oct1672744407552540
9277315440783023
1065623411316064
1119a00806986458
12743a30b80a340
132a803519332a4
14122c293720120
1578c0375ed429
hex3baf241ed560

65623411316064 has 96 divisors (see below), whose sum is σ = 196906655102976. Its totient is φ = 18746077409280.

The previous prime is 65623411316041. The next prime is 65623411316129. The reversal of 65623411316064 is 46061311432656.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×656234113160642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5396817 + ... + 12663824.

It is an arithmetic number, because the mean of its divisors is an integer number (2051110990656).

Almost surely, 265623411316064 is an apocalyptic number.

It is an amenable number.

65623411316064 is an abundant number, since it is smaller than the sum of its proper divisors (131283243786912).

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

65623411316064 is a wasteful number, since it uses less digits than its factorization.

65623411316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18066068 (or 18066060 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 65623411316064 in words is "sixty-five trillion, six hundred twenty-three billion, four hundred eleven million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5407 10814 16221 21628 32442 37849 43256 64884 75698 86512 113547 129768 151396 173024 227094 259536 302792 454188 519072 605584 908376 1211168 1816752 3633504 18060641 36121282 54181923 72242564 108363846 126424487 144485128 216727692 252848974 288970256 379273461 433455384 505697948 577940512 758546922 866910768 1011395896 1517093844 1733821536 2022791792 3034187688 4045583584 6068375376 12136750752 97653885887 195307771774 292961657661 390615543548 585923315322 683577201209 781231087096 1171846630644 1367154402418 1562462174192 2050731603627 2343693261288 2734308804836 3124924348384 4101463207254 4687386522576 5468617609672 8202926414508 9374773045152 10937235219344 16405852829016 21874470438688 32811705658032 65623411316064