Search a number
-
+
42554002777 = 111333179719
BaseRepresentation
bin100111101000011010…
…101000110101011001
311001211122212022122221
4213220122220311121
51144122311042102
631314331544041
73034346025016
oct475032506531
9131748768587
1042554002777
1117057697140
1282b72bb021
13402223c000
1420b987870d
151190d2d637
hex9e86a8d59

42554002777 has 64 divisors (see below), whose sum is σ = 52641792000. Its totient is φ = 34072833600.

The previous prime is 42554002769. The next prime is 42554002793. The reversal of 42554002777 is 77720045524.

42554002777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42554002777 - 23 = 42554002769 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42554002747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59184624 + ... + 59185342.

It is an arithmetic number, because the mean of its divisors is an integer number (822528000).

Almost surely, 242554002777 is an apocalyptic number.

It is an amenable number.

42554002777 is a deficient number, since it is larger than the sum of its proper divisors (10087789223).

42554002777 is a wasteful number, since it uses less digits than its factorization.

42554002777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 43.

The spelling of 42554002777 in words is "forty-two billion, five hundred fifty-four million, two thousand, seven hundred seventy-seven".

Divisors: 1 11 13 31 79 143 169 341 403 719 869 1027 1859 2197 2449 4433 5239 7909 9347 11297 13351 22289 24167 26939 31837 56801 57629 68107 102817 121511 146861 173563 245179 289757 350207 413881 624811 738413 749177 1336621 1579643 1760831 1909193 3187327 3766841 4552691 5380453 8122543 9599369 17376073 19369141 22890803 41435251 48968933 59184983 105593059 124791797 251798833 297580439 538658263 1372709767 3273384829 3868545707 42554002777