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131554620032 = 2711296594889
BaseRepresentation
bin111101010000101000…
…1000011001010000000
3110120120021020010101112
41322201101003022000
54123410440320112
6140234012022452
712335021551163
oct1724121031200
9416507203345
10131554620032
1150879176180
12215b5461a28
13c536cac044
14651db49ada
15364e59ba22
hex1ea1443280

131554620032 has 128 divisors (see below), whose sum is σ = 296275320000. Its totient is φ = 57636167680.

The previous prime is 131554620031. The next prime is 131554620053. The reversal of 131554620032 is 230026455131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (131554620031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26905844 + ... + 26910732.

Almost surely, 2131554620032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131554620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148137660000).

131554620032 is an abundant number, since it is smaller than the sum of its proper divisors (164720699968).

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

131554620032 is a wasteful number, since it uses less digits than its factorization.

131554620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 131554620032 in words is "one hundred thirty-one billion, five hundred fifty-four million, six hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 659 704 928 1276 1318 1408 1856 2552 2636 3712 4889 5104 5272 7249 9778 10208 10544 14498 19111 19556 20416 21088 28996 38222 39112 40832 42176 53779 57992 76444 78224 84352 107558 115984 141781 152888 156448 210221 215116 231968 283562 305776 312896 420442 430232 463936 567124 611552 625792 840884 860464 927872 1134248 1223104 1559591 1681768 1720928 2268496 2446208 3119182 3221851 3363536 3441856 4536992 6238364 6443702 6727072 6883712 9073984 12476728 12887404 13454144 18147968 24953456 25774808 26908288 35440361 49906912 51549616 70880722 93433679 99813824 103099232 141761444 186867358 199627648 206198464 283522888 373734716 412396928 567045776 747469432 1027770469 1134091552 1494938864 2055540938 2268183104 2989877728 4111081876 4536366208 5979755456 8222163752 11959510912 16444327504 32888655008 65777310016 131554620032