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131864150436 = 223192333317549
BaseRepresentation
bin111101011001110110…
…1110100000110100100
3110121100211122220021120
41322303231310012210
54130024210303221
6140324430213540
712345500533164
oct1726355640644
9417324586246
10131864150436
1150a17969a27
12216810542b0
13c586165a25
14654ccc05a4
15366b83e5c6
hex1eb3b741a4

131864150436 has 96 divisors (see below), whose sum is σ = 338104704000. Its totient is φ = 39813586560.

The previous prime is 131864150399. The next prime is 131864150471. The reversal of 131864150436 is 634051468131.

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, 17463990 + ... + 17471538.

It is an arithmetic number, because the mean of its divisors is an integer number (3521924000).

Almost surely, 2131864150436 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 131864150436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169052352000).

131864150436 is an abundant number, since it is smaller than the sum of its proper divisors (206240553564).

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

131864150436 is a wasteful number, since it uses less digits than its factorization.

131864150436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929 (or 10927 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 131864150436 in words is "one hundred thirty-one billion, eight hundred sixty-four million, one hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 3331 5244 6662 7549 9993 13324 15098 19986 22647 30196 39972 45294 63289 76613 90588 126578 143431 153226 173627 189867 229839 253156 286862 306452 347254 379734 430293 459678 520881 573724 694508 759468 860586 919356 1041762 1455647 1721172 2083524 2911294 3298913 4366941 5822588 6597826 8733882 9896739 13195652 17467764 19793478 25145719 39586956 50291438 75437157 100582876 150874314 301748628 477768661 578351537 955537322 1156703074 1433305983 1735054611 1911074644 2313406148 2866611966 3470109222 5733223932 6940218444 10988679203 21977358406 32966037609 43954716812 65932075218 131864150436