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131554050552 = 233210118090491
BaseRepresentation
bin111101010000100111…
…0111000000111111000
3110120120020011012012200
41322201032320013320
54123410314104202
6140233551510200
712335013656661
oct1724116700770
9416506135180
10131554050552
1150878917331
12215b5228360
13c536b3ca82
14651da3c368
15364e4d7e1c
hex1ea13b81f8

131554050552 has 48 divisors (see below), whose sum is σ = 359819885880. Its totient is φ = 43417176000.

The previous prime is 131554050527. The next prime is 131554050557. The reversal of 131554050552 is 255050455131.

131554050552 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 54 + 0 + 50 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131554050557) by changing a digit.

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, 9037974 + ... + 9052517.

Almost surely, 2131554050552 is an apocalyptic number.

131554050552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131554050552 is an abundant number, since it is smaller than the sum of its proper divisors (228265835328).

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

131554050552 is a wasteful number, since it uses less digits than its factorization.

131554050552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18090604 (or 18090597 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 131554050552 in words is "one hundred thirty-one billion, five hundred fifty-four million, fifty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 18090491 36180982 54271473 72361964 108542946 144723928 162814419 217085892 325628838 434171784 651257676 1302515352 1827139591 3654279182 5481418773 7308558364 10962837546 14617116728 16444256319 21925675092 32888512638 43851350184 65777025276 131554050552