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1136127136632 = 2333173910691933
BaseRepresentation
bin10000100010000110011…
…101000101001101111000
311000121112122122110110020
4100202012131011031320
5122103242021333012
62225532443250440
7145040201215335
oct20420635051570
94017478573406
101136127136632
113a8913171504
12164232819a20
13831a06914b7
143cdbb57798c
151e847477a8c
hex10886745378

1136127136632 has 128 divisors (see below), whose sum is σ = 2940175104000. Its totient is φ = 365465157120.

The previous prime is 1136127136619. The next prime is 1136127136721. The reversal of 1136127136632 is 2366317216311.

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 31 ways as a sum of consecutive naturals, for example, 587752338 + ... + 587754270.

It is an arithmetic number, because the mean of its divisors is an integer number (22970118000).

Almost surely, 21136127136632 is an apocalyptic number.

1136127136632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136127136632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470087552000).

1136127136632 is an abundant number, since it is smaller than the sum of its proper divisors (1804047967368).

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

1136127136632 is a wasteful number, since it uses less digits than its factorization.

1136127136632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3777 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The spelling of 1136127136632 in words is "one trillion, one hundred thirty-six billion, one hundred twenty-seven million, one hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 739 744 1069 1478 1933 2138 2217 2956 3207 3866 4276 4434 5799 5912 6414 7732 8552 8868 11598 12828 15464 17736 22909 23196 25656 33139 45818 46392 59923 66278 68727 91636 99417 119846 132556 137454 179769 183272 198834 239692 265112 274908 359538 397668 479384 549816 719076 789991 795336 1428487 1438152 1579982 2066377 2369973 2856974 3159964 4132754 4285461 4739946 5713948 6199131 6319928 8265508 8570922 9479892 11427896 12398262 16531016 17141844 18959784 24489721 24796524 34283688 44283097 48979442 49593048 64057687 73469163 88566194 97958884 128115374 132849291 146938326 177132388 192173061 195917768 256230748 265698582 293876652 354264776 384346122 512461496 531397164 587753304 768692244 1062794328 1527052603 1537384488 3054105206 4581157809 6108210412 9162315618 12216420824 18324631236 36649262472 47338630693 94677261386 142015892079 189354522772 284031784158 378709045544 568063568316 1136127136632