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35640064112 = 2419293722953
BaseRepresentation
bin100001001100010100…
…000011100001110000
310101222211001211211112
4201030110003201300
51040442324022422
624212310132452
72401123355312
oct411424034160
9111884054745
1035640064112
1114129983744
126aa7951128
13348ca09343
141a215217b2
15dd8d63ee2
hex84c503870

35640064112 has 120 divisors (see below), whose sum is σ = 77306770800. Its totient is φ = 15854082048.

The previous prime is 35640064111. The next prime is 35640064127. The reversal of 35640064112 is 21146004653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35640064111) 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, 12067628 + ... + 12070580.

It is an arithmetic number, because the mean of its divisors is an integer number (644223090).

Almost surely, 235640064112 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 35640064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38653385400).

35640064112 is an abundant number, since it is smaller than the sum of its proper divisors (41666706688).

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

35640064112 is a wasteful number, since it uses less digits than its factorization.

35640064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 35640064112 its reverse (21146004653), we get a palindrome (56786068765).

The spelling of 35640064112 in words is "thirty-five billion, six hundred forty million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 29 37 38 58 74 76 116 148 152 232 296 304 464 551 592 703 1073 1102 1369 1406 2146 2204 2738 2812 2953 4292 4408 5476 5624 5906 8584 8816 10952 11248 11812 17168 20387 21904 23624 26011 39701 40774 47248 52022 56107 79402 81548 85637 104044 109261 112214 158804 163096 171274 208088 218522 224428 317608 326192 342548 416176 437044 448856 635216 685096 754319 874088 897712 1370192 1508638 1627103 1748176 2075959 3017276 3168569 3254206 4042657 4151918 6034552 6337138 6508412 8085314 8303836 12069104 12674276 13016824 16170628 16607672 25348552 26033648 32341256 33215344 50697104 60202811 64682512 76810483 117237053 120405622 153620966 234474106 240811244 307241932 468948212 481622488 614483864 937896424 963244976 1228967728 1875792848 2227504007 4455008014 8910016028 17820032056 35640064112