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505671885376 = 26711031023329
BaseRepresentation
bin1110101101111000110…
…01001010001001000000
31210100020010212100021021
413112330121022021000
531241104000313001
61024145155235224
751351010051330
oct7267431121100
91710203770237
10505671885376
111854aa661979
12820045a8b14
13388b9253c78
141a6906210c0
15d248a56ba1
hex75bc64a240

505671885376 has 56 divisors (see below), whose sum is σ = 1147832421120. Its totient is φ = 216519831552.

The previous prime is 505671885343. The next prime is 505671885413. The reversal of 505671885376 is 673588176505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×5056718853762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17521 + ... + 1005808.

It is an arithmetic number, because the mean of its divisors is an integer number (20497007520).

Almost surely, 2505671885376 is an apocalyptic number.

505671885376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505671885376 is an abundant number, since it is smaller than the sum of its proper divisors (642160535744).

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

505671885376 is a wasteful number, since it uses less digits than its factorization.

505671885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024451 (or 1024441 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 61.

The spelling of 505671885376 in words is "five hundred five billion, six hundred seventy-one million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1103 2206 4412 7721 8824 15442 17648 30884 35296 61768 70592 123536 247072 494144 1023329 2046658 4093316 7163303 8186632 14326606 16373264 28653212 32746528 57306424 65493056 114612848 229225696 458451392 1128731887 2257463774 4514927548 7901123209 9029855096 15802246418 18059710192 31604492836 36119420384 63208985672 72238840768 126417971344 252835942688 505671885376