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642556700946 = 232191878820763
BaseRepresentation
bin10010101100110110101…
…11010010100100010010
32021102112212210110100100
421112123113102210102
541011424003412241
61211104140033230
764265103561306
oct11263327224422
92242485713310
10642556700946
11228563562926
12a4646b32816
1348792602664
1423158221d06
1511aab0309b6
hex959b5d2912

642556700946 has 24 divisors (see below), whose sum is σ = 1465480195920. Its totient is φ = 202912642296.

The previous prime is 642556700923. The next prime is 642556700963. The reversal of 642556700946 is 649007655246.

642556700946 is a `hidden beast` number, since 6 + 42 + 556 + 7 + 0 + 0 + 9 + 46 = 666.

It is a super-2 number, since 2×6425567009462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642556700892 and 642556700901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939410040 + ... + 939410723.

It is an arithmetic number, because the mean of its divisors is an integer number (61061674830).

Almost surely, 2642556700946 is an apocalyptic number.

642556700946 is an abundant number, since it is smaller than the sum of its proper divisors (822923494974).

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

642556700946 is a wasteful number, since it uses less digits than its factorization.

642556700946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878820790 (or 1878820787 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

It can be divided in two parts, 64255 and 6700946, that added together give a 4-th power (6765201 = 514).

The spelling of 642556700946 in words is "six hundred forty-two billion, five hundred fifty-six million, seven hundred thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1878820763 3757641526 5636462289 11272924578 16909386867 33818773734 35697594497 71395188994 107092783491 214185566982 321278350473 642556700946