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642426106553 = 71115753141377
BaseRepresentation
bin10010101100100111001…
…01000111001010111001
32021102012210001120111222
421112103211013022321
541011142040402203
61211043153001425
764261626543530
oct11262345071271
92242183046458
10642426106553
112284a6875380
12a460b253275
134877153947a
1423144b49317
1511a9e836038
hex95939472b9

642426106553 has 16 divisors (see below), whose sum is σ = 806048421504. Its totient is φ = 497403279360.

The previous prime is 642426106501. The next prime is 642426106561. The reversal of 642426106553 is 355601624246.

It is a happy number.

642426106553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-642426106553 is a prime.

It is a super-2 number, since 2×6424261065532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642426106853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26558600 + ... + 26582777.

It is an arithmetic number, because the mean of its divisors is an integer number (50378026344).

Almost surely, 2642426106553 is an apocalyptic number.

It is an amenable number.

642426106553 is a deficient number, since it is larger than the sum of its proper divisors (163622314951).

642426106553 is a wasteful number, since it uses less digits than its factorization.

642426106553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53141552.

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 642426106553 in words is "six hundred forty-two billion, four hundred twenty-six million, one hundred six thousand, five hundred fifty-three".

Divisors: 1 7 11 77 157 1099 1727 12089 53141377 371989639 584555147 4091886029 8343196189 58402373323 91775158079 642426106553