Search a number
-
+
500500005056 = 261729122912907
BaseRepresentation
bin1110100100010000010…
…00000000000011000000
31202211212201001121020022
413102020020000003000
531200011000130211
61021532044033012
751105566564132
oct7221010000300
91684781047208
10500500005056
11183296228717
1281000532768
133827390525c
141a31d7bb052
15d04499cbdb
hex74882000c0

500500005056 has 112 divisors (see below), whose sum is σ = 1088833687200. Its totient is φ = 227205070848.

The previous prime is 500500005053. The next prime is 500500005059. The reversal of 500500005056 is 650500005005.

It is an interprime number because it is at equal distance from previous prime (500500005053) and next prime (500500005059).

It is a super-2 number, since 2×5005000050562 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (500500005053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38770955 + ... + 38783861.

It is an arithmetic number, because the mean of its divisors is an integer number (9721729350).

Almost surely, 2500500005056 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 500500005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544416843600).

500500005056 is an abundant number, since it is smaller than the sum of its proper divisors (588333682144).

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

500500005056 is a wasteful number, since it uses less digits than its factorization.

500500005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14194 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The spelling of 500500005056 in words is "five hundred billion, five hundred million, five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1229 1856 1972 2458 3944 4916 7888 9832 12907 15776 19664 20893 25814 31552 35641 39328 41786 51628 71282 78656 83572 103256 142564 167144 206512 219419 285128 334288 374303 413024 438838 570256 605897 668576 748606 826048 877676 1140512 1211794 1337152 1497212 1755352 2281024 2423588 2994424 3510704 4847176 5988848 6363151 7021408 9694352 11977696 12726302 14042816 15862703 19388704 23955392 25452604 31725406 38777408 50905208 63450812 101810416 126901624 203620832 253803248 269665951 407241664 460018387 507606496 539331902 920036774 1015212992 1078663804 1840073548 2157327608 3680147096 4314655216 7360294192 7820312579 8629310432 14720588384 15640625158 17258620864 29441176768 31281250316 62562500632 125125001264 250250002528 500500005056