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122616642616 = 23132113881911
BaseRepresentation
bin111001000110010000…
…1010111110000111000
3102201111100211211100221
41302030201113300320
54002104330030431
6132155044105424
711600361160036
oct1621441276070
9381440754327
10122616642616
1148001997486
121b920095274
13b741336500
145d12a7b556
1532c9a72111
hex1c8c857c38

122616642616 has 96 divisors (see below), whose sum is σ = 251715885120. Its totient is φ = 55966310400.

The previous prime is 122616642571. The next prime is 122616642637. The reversal of 122616642616 is 616246616221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134595201 + ... + 134596111.

It is an arithmetic number, because the mean of its divisors is an integer number (2622040470).

Almost surely, 2122616642616 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 122616642616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125857942560).

122616642616 is an abundant number, since it is smaller than the sum of its proper divisors (129099242504).

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

122616642616 is a wasteful number, since it uses less digits than its factorization.

122616642616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1920 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The spelling of 122616642616 in words is "one hundred twenty-two billion, six hundred sixteen million, six hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 113 169 226 338 452 676 881 904 911 1352 1469 1762 1822 2938 3524 3644 5876 7048 7288 11453 11752 11843 19097 22906 23686 38194 45812 47372 76388 91624 94744 99553 102943 148889 152776 153959 199106 205886 297778 307918 398212 411772 595556 615836 796424 802591 823544 1191112 1231672 1294189 1338259 1605182 2588378 2676518 3210364 5176756 5353036 6420728 10353512 10433683 10706072 16824457 17397367 20867366 33648914 34794734 41734732 67297828 69589468 83469464 90692783 134595656 135637879 139178936 181385566 271275758 362771132 542551516 725542264 1085103032 1179006179 2358012358 4716024716 9432049432 15327080327 30654160654 61308321308 122616642616