Search a number
-
+
1131972554772 = 223434843100271
BaseRepresentation
bin10000011110001110110…
…100100111000000010100
311000012211010001211120000
4100132032310213000110
5122021234433223042
62224004312211300
7144532222646643
oct20361664470024
94005733054500
101131972554772
113a7080aa6684
12163473399b30
138298aa28537
143cb058a535a
151e6a286a74c
hex1078ed27014

1131972554772 has 60 divisors (see below), whose sum is σ = 2959314300096. Its totient is φ = 377309592720.

The previous prime is 1131972554771. The next prime is 1131972554809. The reversal of 1131972554772 is 2774552791311.

1131972554772 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 9 + 7 + 25 + 547 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131972554771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11238997 + ... + 11339267.

Almost surely, 21131972554772 is an apocalyptic number.

1131972554772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131972554772 is an abundant number, since it is smaller than the sum of its proper divisors (1827341745324).

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

1131972554772 is a wasteful number, since it uses less digits than its factorization.

1131972554772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135130 (or 135119 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The spelling of 1131972554772 in words is "one trillion, one hundred thirty-one billion, nine hundred seventy-two million, five hundred fifty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 34843 69686 100271 104529 139372 200542 209058 300813 313587 401084 418116 601626 627174 902439 940761 1203252 1254348 1804878 1881522 2707317 2822283 3609756 3763044 5414634 5644566 8121951 10829268 11289132 16243902 32487804 3493742453 6987484906 10481227359 13974969812 20962454718 31443682077 41924909436 62887364154 94331046231 125774728308 188662092462 282993138693 377324184924 565986277386 1131972554772