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168242137336 = 2371310111320249
BaseRepresentation
bin1001110010110000000…
…0110100100011111000
3121002021002021002212201
42130230000310203320
510224024441343321
6205142300515544
715104124400060
oct2345400644370
9532232232781
10168242137336
1165395333a09
1228733b4bbb4
1312b329cb670
14820040c3a0
15459a367291
hex272c0348f8

168242137336 has 128 divisors (see below), whose sum is σ = 395584560000. Its totient is φ = 65311948800.

The previous prime is 168242137333. The next prime is 168242137337. The reversal of 168242137336 is 633731242861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168242137333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8298540 + ... + 8318788.

It is an arithmetic number, because the mean of its divisors is an integer number (3090504375).

Almost surely, 2168242137336 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 168242137336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197792280000).

168242137336 is an abundant number, since it is smaller than the sum of its proper divisors (227342422664).

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

168242137336 is a wasteful number, since it uses less digits than its factorization.

168242137336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20489 (or 20485 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The spelling of 168242137336 in words is "one hundred sixty-eight billion, two hundred forty-two million, one hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 113 182 202 226 364 404 452 707 728 791 808 904 1313 1414 1469 1582 2626 2828 2938 3164 5252 5656 5876 6328 9191 10283 10504 11413 11752 18382 20249 20566 22826 36764 40498 41132 45652 73528 79891 80996 82264 91304 141743 148369 159782 161992 263237 283486 296738 319564 526474 566972 593476 639128 1038583 1052948 1133944 1186952 1842659 2045149 2077166 2105896 2288137 3685318 4090298 4154332 4576274 7370636 8180596 8308664 9152548 14316043 14741272 16016959 16361192 18305096 26586937 28632086 29745781 32033918 53173874 57264172 59491562 64067836 106347748 114528344 118983124 128135672 186108559 208220467 212695496 231101837 237966248 372217118 416440934 462203674 744434236 832881868 924407348 1488868472 1617712859 1665763736 1848814696 3004323881 3235425718 6008647762 6470851436 12017295524 12941702872 21030267167 24034591048 42060534334 84121068668 168242137336