Search a number
-
+
536560433552 = 241113239745439
BaseRepresentation
bin1111100111011010111…
…11100111100110010000
31220021221211010011121002
413303231133213212100
532242333432333202
61050254212121132
753523316301543
oct7635537474620
91807854104532
10536560433552
11197610416340
1287ba50061a8
133b79c733100
141bd80a8485a
15de55699302
hex7ced7e7990

536560433552 has 120 divisors (see below), whose sum is σ = 1231162629120. Its totient is φ = 224558231040.

The previous prime is 536560433533. The next prime is 536560433567. The reversal of 536560433552 is 255334065635.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 536560433497 and 536560433506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11785649 + ... + 11831087.

It is an arithmetic number, because the mean of its divisors is an integer number (10259688576).

Almost surely, 2536560433552 is an apocalyptic number.

536560433552 is a gapful number since it is divisible by the number (52) 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 536560433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615581314560).

536560433552 is an abundant number, since it is smaller than the sum of its proper divisors (694602195568).

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

536560433552 is a wasteful number, since it uses less digits than its factorization.

536560433552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45881 (or 45862 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 47.

The spelling of 536560433552 in words is "five hundred thirty-six billion, five hundred sixty million, four hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 397 572 676 794 1144 1352 1588 1859 2288 2704 3176 3718 4367 5161 6352 7436 8734 10322 14872 17468 20644 29744 34936 41288 45439 56771 67093 69872 82576 90878 113542 134186 181756 227084 268372 363512 454168 499829 536744 590707 727024 738023 908336 999658 1073488 1181414 1476046 1999316 2362828 2952092 3998632 4725656 5904184 6497777 7679191 7997264 9451312 11808368 12995554 15358382 18039283 25991108 30716764 36078566 51982216 61433528 72157132 84471101 103964432 122867056 144314264 168942202 198432113 234510679 288628528 337884404 396864226 469021358 675768808 793728452 938042716 1351537616 1587456904 1876085432 2579617469 3048638827 3174913808 3752170864 5159234938 6097277654 10318469876 12194555308 20636939752 24389110616 33535027097 41273879504 48778221232 67070054194 134140108388 268280216776 536560433552