Search a number
-
+
52341606332046 = 2352112332190647
BaseRepresentation
bin10111110011010101110101…
…10110100011011010001110
320212022210211112120210200000
423321222322312203122032
523330031102210111141
6303153222455345130
714011361541014253
oct1371527266433216
9225283745523600
1052341606332046
111574aa50260259
125a541a20821a6
132328a3b8aa425
14ccd4c0c6942a
1560b7d2d335b6
hex2f9abada368e

52341606332046 has 96 divisors (see below), whose sum is σ = 118671643254528. Its totient is φ = 17289980245440.

The previous prime is 52341606332033. The next prime is 52341606332063. The reversal of 52341606332046 is 64023360614325.

52341606332046 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 1 + 6 + 0 + 633 + 2 + 0 + 4 + 6 = 666.

It is a super-2 number, since 2×523416063320462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52341606331992 and 52341606332010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22797895 + ... + 24988541.

It is an arithmetic number, because the mean of its divisors is an integer number (1236162950568).

Almost surely, 252341606332046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52341606332046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59335821627264).

52341606332046 is an abundant number, since it is smaller than the sum of its proper divisors (66330036922482).

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

52341606332046 is a wasteful number, since it uses less digits than its factorization.

52341606332046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191108 (or 2191096 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 52341606332046 in words is "fifty-two trillion, three hundred forty-one billion, six hundred six million, three hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 233 243 422 466 486 633 699 1266 1398 1899 2097 3798 4194 5697 6291 11394 12582 17091 18873 34182 37746 49163 51273 56619 98326 102546 113238 147489 294978 442467 884934 1327401 2190647 2654802 3982203 4381294 6571941 7964406 11946609 13143882 19715823 23893218 39431646 59147469 118294938 177442407 354884814 462226517 510420751 532327221 924453034 1020841502 1064654442 1386679551 1531262253 2773359102 3062524506 4160038653 4593786759 8320077306 9187573518 12480115959 13781360277 24960231918 27562720554 37440347877 41344080831 74880695754 82688161662 107698778461 112321043631 124032242493 215397556922 224642087262 248064484986 323096335383 646192670766 969289006149 1938578012298 2907867018447 5815734036894 8723601055341 17447202110682 26170803166023 52341606332046