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136621465416 = 233283154914759
BaseRepresentation
bin111111100111101000…
…1100001111101001000
3111001122101101112120200
41333033101201331020
54214300043343131
6142432452052200
712604415203152
oct1771721417510
9431571345520
10136621465416
1152a3928a0a7
122258a304060
13cb639435c7
146880a4bad2
1538493092e6
hex1fcf461f48

136621465416 has 96 divisors (see below), whose sum is σ = 374741640000. Its totient is φ = 44959715712.

The previous prime is 136621465411. The next prime is 136621465427. The reversal of 136621465416 is 614564126631.

136621465416 is a `hidden beast` number, since 1 + 3 + 6 + 62 + 1 + 46 + 541 + 6 = 666.

It is a super-3 number, since 3×1366214654163 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (136621465411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9249445 + ... + 9264203.

It is an arithmetic number, because the mean of its divisors is an integer number (3903558750).

Almost surely, 2136621465416 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 136621465416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187370820000).

136621465416 is an abundant number, since it is smaller than the sum of its proper divisors (238120174584).

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

136621465416 is a wasteful number, since it uses less digits than its factorization.

136621465416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403 (or 16396 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 136621465416 in words is "one hundred thirty-six billion, six hundred twenty-one million, four hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1549 1992 2988 3098 4647 5976 6196 9294 12392 13941 14759 18588 27882 29518 37176 44277 55764 59036 88554 111528 118072 128567 132831 177108 257134 265662 354216 385701 514268 531324 771402 1028536 1062648 1157103 1224997 1542804 2314206 2449994 3085608 3674991 4628412 4899988 7349982 9256824 9799976 11024973 14699964 22049946 22861691 29399928 44099892 45723382 68585073 88199784 91446764 137170146 182893528 205755219 274340292 411510438 548680584 823020876 1646041752 1897520353 3795040706 5692561059 7590081412 11385122118 15180162824 17077683177 22770244236 34155366354 45540488472 68310732708 136621465416