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42553601664 = 273715830953
BaseRepresentation
bin100111101000011001…
…000110111010000000
311001211122002221102220
4213220121012322000
51144122210223124
631314315211040
73034342434420
oct475031067200
9131748087386
1042553601664
1117057442842
1282b7146a80
13402212b572
1420b97b2480
151190c9e879
hex9e8646e80

42553601664 has 64 divisors (see below), whose sum is σ = 129180584640. Its totient is φ = 12158171136.

The previous prime is 42553601633. The next prime is 42553601677. The reversal of 42553601664 is 46610635524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7912789 + ... + 7918164.

It is an arithmetic number, because the mean of its divisors is an integer number (2018446635).

Almost surely, 242553601664 is an apocalyptic number.

It is an amenable number.

42553601664 is an abundant number, since it is smaller than the sum of its proper divisors (86626982976).

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

42553601664 is a wasteful number, since it uses less digits than its factorization.

42553601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830977 (or 15830965 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 42553601664 in words is "forty-two billion, five hundred fifty-three million, six hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 15830953 31661906 47492859 63323812 94985718 110816671 126647624 189971436 221633342 253295248 332450013 379942872 443266684 506590496 664900026 759885744 886533368 1013180992 1329800052 1519771488 1773066736 2026361984 2659600104 3039542976 3546133472 5319200208 6079085952 7092266944 10638400416 14184533888 21276800832 42553601664