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136644142632 = 23337613736763
BaseRepresentation
bin111111101000010100…
…0000010011000101000
3111001200222001122212120
41333100220002120220
54214321400031012
6142435022111240
712605112022404
oct1772050023050
9431628048776
10136644142632
1152a500688a8
1222595a1b520
13cb6855348a
146883a72104
15384b2d858c
hex1fd0a02628

136644142632 has 128 divisors (see below), whose sum is σ = 357603480960. Its totient is φ = 43467217920.

The previous prime is 136644142567. The next prime is 136644142651. The reversal of 136644142632 is 236241446631.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20201283 + ... + 20208045.

It is an arithmetic number, because the mean of its divisors is an integer number (2793777195).

Almost surely, 2136644142632 is an apocalyptic number.

136644142632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136644142632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178801740480).

136644142632 is an abundant number, since it is smaller than the sum of its proper divisors (220959338328).

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

136644142632 is a wasteful number, since it uses less digits than its factorization.

136644142632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7239 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 136644142632 in words is "one hundred thirty-six billion, six hundred forty-four million, one hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 373 444 488 732 746 888 1119 1464 1492 2238 2257 2984 4476 4514 6763 6771 8952 9028 13526 13542 13801 18056 20289 22753 27052 27084 27602 40578 41403 45506 54104 54168 55204 68259 81156 82806 91012 110408 136518 162312 165612 182024 250231 273036 331224 412543 500462 546072 750693 825086 841861 1000924 1237629 1501386 1650172 1683722 2001848 2475258 2522599 2525583 3002772 3300344 3367444 4950516 5045198 5051166 6005544 6734888 7567797 9901032 10090396 10102332 15135594 15264091 20180792 20204664 30271188 30528182 45792273 60542376 61056364 91584546 93336163 122112728 153878539 183169092 186672326 280008489 307757078 366338184 373344652 461635617 560016978 615514156 746689304 923271234 1120033956 1231028312 1846542468 2240067912 3693084936 5693505943 11387011886 17080517829 22774023772 34161035658 45548047544 68322071316 136644142632