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36140479488 = 2103210935977
BaseRepresentation
bin100001101010001000…
…111111010000000000
310110021200200120200100
4201222020333100000
51043003430320423
624334103522400
72416411002261
oct415210772000
9113250616610
1036140479488
11143663a4173
127007459400
13353c5a8509
141a6bb84968
15e17c60343
hex86a23f400

36140479488 has 132 divisors (see below), whose sum is σ = 105315161380. Its totient is φ = 11935973376.

The previous prime is 36140479451. The next prime is 36140479549. The reversal of 36140479488 is 88497404163.

It can be written as a sum of positive squares in 2 ways, for example, as 31269556224 + 4870923264 = 176832^2 + 69792^2 .

It is a super-2 number, since 2×361404794882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986556 + ... + 1022532.

Almost surely, 236140479488 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 36140479488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52657580690).

36140479488 is an abundant number, since it is smaller than the sum of its proper divisors (69174681892).

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

36140479488 is a wasteful number, since it uses less digits than its factorization.

36140479488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36112 (or 36091 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 36140479488 in words is "thirty-six billion, one hundred forty million, four hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 256 288 327 384 436 512 576 654 768 872 981 1024 1152 1308 1536 1744 1962 2304 2616 3072 3488 3924 4608 5232 6976 7848 9216 10464 13952 15696 20928 27904 31392 35977 41856 55808 62784 71954 83712 107931 111616 125568 143908 167424 215862 251136 287816 323793 334848 431724 502272 575632 647586 863448 1004544 1151264 1295172 1726896 2302528 2590344 3453792 3921493 4605056 5180688 6907584 7842986 9210112 10361376 11764479 13815168 15685972 18420224 20722752 23528958 27630336 31371944 35293437 36840448 41445504 47057916 55260672 62743888 70586874 82891008 94115832 110521344 125487776 141173748 165782016 188231664 250975552 282347496 331564032 376463328 501951104 564694992 752926656 1003902208 1129389984 1505853312 2007804416 2258779968 3011706624 4015608832 4517559936 6023413248 9035119872 12046826496 18070239744 36140479488