Search a number
-
+
42657761364 = 22341179484373
BaseRepresentation
bin100111101110100110…
…011100100001010100
311002002220002210200120
4213232212130201110
51144330341330424
631332515511540
73040045663131
oct475646344124
9132086083616
1042657761364
1117100215539
128325bb85b0
13403a89a51a
1420c9567588
151199ec6a79
hex9ee99c854

42657761364 has 48 divisors (see below), whose sum is σ = 102532288320. Its totient is φ = 13794914560.

The previous prime is 42657761359. The next prime is 42657761387. The reversal of 42657761364 is 46316775624.

42657761364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×426577613642 (a number of 22 digits) contains 22 as substring.

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, 154119 + ... + 330254.

It is an arithmetic number, because the mean of its divisors is an integer number (2136089340).

Almost surely, 242657761364 is an apocalyptic number.

It is an amenable number.

42657761364 is an abundant number, since it is smaller than the sum of its proper divisors (59874526956).

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

42657761364 is a wasteful number, since it uses less digits than its factorization.

42657761364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484600 (or 484598 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 42657761364 in words is "forty-two billion, six hundred fifty-seven million, seven hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 41 82 123 164 179 246 358 492 537 716 1074 2148 7339 14678 22017 29356 44034 88068 484373 968746 1453119 1937492 2906238 5812476 19859293 39718586 59577879 79437172 86702767 119155758 173405534 238311516 260108301 346811068 520216602 1040433204 3554813447 7109626894 10664440341 14219253788 21328880682 42657761364