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52140096386048 = 210112619679823
BaseRepresentation
bin10111101101011110011111…
…11011000111010000000000
320211121112200222001220122202
423312233033323013100000
523313230404133323143
6302520455110052332
713660666123516316
oct1366571773072000
9224545628056582
1052140096386048
1115682544136300
125a2112494a0a8
132312a367c5ba8
14cc38464160b6
1560643c04cab8
hex2f6bcfec7400

52140096386048 has 132 divisors (see below), whose sum is σ = 114751313570880. Its totient is φ = 23661721374720.

The previous prime is 52140096386017. The next prime is 52140096386071. The reversal of 52140096386048 is 84068369004125.

It is a super-2 number, since 2×521400963860482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52140096385984 and 52140096386002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76356665 + ... + 77036487.

Almost surely, 252140096386048 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 52140096386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57375656785440).

52140096386048 is an abundant number, since it is smaller than the sum of its proper divisors (62611217184832).

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

52140096386048 is a wasteful number, since it uses less digits than its factorization.

52140096386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680484 (or 680455 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 52140096386048 in words is "fifty-two trillion, one hundred forty billion, ninety-six million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 619 704 968 1024 1238 1408 1936 2476 2816 3872 4952 5632 6809 7744 9904 11264 13618 15488 19808 27236 30976 39616 54472 61952 74899 79232 108944 123904 149798 158464 217888 299596 316928 435776 599192 633856 679823 871552 1198384 1359646 1743104 2396768 2719292 3486208 4793536 5438584 6972416 7478053 9587072 10877168 14956106 19174144 21754336 29912212 38348288 43508672 59824424 76696576 82258583 87017344 119648848 164517166 174034688 239297696 329034332 348069376 420810437 478595392 658068664 696138752 841620874 957190784 1316137328 1683241748 1914381568 2632274656 3366483496 3828763136 4628914807 5264549312 6732966992 7657526272 9257829614 10529098624 13465933984 18515659228 21058197248 26931867968 37031318456 42116394496 50918062877 53863735936 74062636912 84232788992 101836125754 107727471872 148125273824 203672251508 215454943744 296250547648 407344503016 430909887488 592501095296 814689006032 1185002190592 1629378012064 2370004381184 3258756024128 4740008762368 6517512048256 13035024096512 26070048193024 52140096386048