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133686759424 = 2122921972
BaseRepresentation
bin111110010000001011…
…0100001000000000000
3110210001212020000210011
41330200112201000000
54142242302300144
6141225335114304
712441611464051
oct1744026410000
9423055200704
10133686759424
1151772766049
1221aab512994
13c7b694089a
146682da0728
153726861a34
hex1f205a1000

133686759424 has 117 divisors (see below), whose sum is σ = 278290019527. Its totient is φ = 64210829312.

The previous prime is 133686759403. The next prime is 133686759431. The reversal of 133686759424 is 424957686331.

The square root of 133686759424 is 365632.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51184537600 + 82502221824 = 226240^2 + 287232^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 678612894 + ... + 678613090.

Almost surely, 2133686759424 is an apocalyptic number.

133686759424 is the 365632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133686759424

133686759424 is an abundant number, since it is smaller than the sum of its proper divisors (144603260103).

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

133686759424 is an frugal number, since it uses more digits than its factorization.

133686759424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 228 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 133686759424 in words is "one hundred thirty-three billion, six hundred eighty-six million, seven hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 197 232 256 394 464 512 788 841 928 1024 1576 1682 1856 2048 3152 3364 3712 4096 5713 6304 6728 7424 11426 12608 13456 14848 22852 25216 26912 29696 38809 45704 50432 53824 59392 77618 91408 100864 107648 118784 155236 165677 182816 201728 215296 310472 331354 365632 403456 430592 620944 662708 731264 806912 861184 1125461 1241888 1325416 1462528 1722368 2250922 2483776 2650832 2925056 3444736 4501844 4967552 5301664 5850112 9003688 9935104 10603328 11700224 18007376 19870208 21206656 23400448 32638369 36014752 39740416 42413312 65276738 72029504 79480832 84826624 130553476 144059008 158961664 169653248 261106952 288118016 339306496 522213904 576236032 678612992 1044427808 1152472064 2088855616 2304944128 4177711232 4609888256 8355422464 16710844928 33421689856 66843379712 133686759424