Search a number
-
+
2761231356 = 223513218521
BaseRepresentation
bin1010010010010101…
…0000101111111100
321010102202002100000
42210211100233330
521123333400411
61133554434300
7125266036122
oct24445205774
97112662300
102761231356
111197708a94
12650892990
133500a5010
141c2a11912
1511262c956
hexa4950bfc

2761231356 has 72 divisors (see below), whose sum is σ = 7795116784. Its totient is φ = 849605760.

The previous prime is 2761231339. The next prime is 2761231357. The reversal of 2761231356 is 6531321672.

2761231356 is a `hidden beast` number, since 2 + 7 + 612 + 3 + 1 + 35 + 6 = 666.

2761231356 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2761231356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761231357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96625 + ... + 121896.

Almost surely, 22761231356 is an apocalyptic number.

2761231356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2761231356 is an abundant number, since it is smaller than the sum of its proper divisors (5033885428).

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

2761231356 is a wasteful number, since it uses less digits than its factorization.

2761231356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218553 (or 218539 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2761231356 is about 52547.4200698759. The cubic root of 2761231356 is about 1402.9243898563.

The spelling of 2761231356 in words is "two billion, seven hundred sixty-one million, two hundred thirty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 218521 437042 655563 874084 1311126 1966689 2622252 2840773 3933378 5681546 5900067 7866756 8522319 11363092 11800134 17044638 17700201 23600268 25566957 34089276 35400402 51133914 53100603 70800804 76700871 102267828 106201206 153401742 212402412 230102613 306803484 460205226 690307839 920410452 1380615678 2761231356