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4057688867504 = 242985710204223
BaseRepresentation
bin111011000011000001000…
…110101000001010110000
3112100220121022110210220112
4323003001012220022300
51012440121322230004
612344024310400452
7566105212202156
oct73030106501260
915326538423815
104057688867504
111324946644678
125564a7960128
1323583b7b35ac
14100570ca73d6
157083a88ce6e
hex3b0c11a82b0

4057688867504 has 40 divisors (see below), whose sum is σ = 8142358498560. Its totient is φ = 1956598343168.

The previous prime is 4057688867471. The next prime is 4057688867527.

4057688867504 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4704464 + ... + 5499759.

It is an arithmetic number, because the mean of its divisors is an integer number (203558962464).

Almost surely, 24057688867504 is an apocalyptic number.

It is an amenable number.

4057688867504 is an abundant number, since it is smaller than the sum of its proper divisors (4084669631056).

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

4057688867504 is a wasteful number, since it uses less digits than its factorization.

4057688867504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205117 (or 10205111 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 68.

The spelling of 4057688867504 in words is "four trillion, fifty-seven billion, six hundred eighty-eight million, eight hundred sixty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 857 1714 3428 6856 13712 24853 49706 99412 198824 397648 10204223 20408446 40816892 81633784 163267568 295922467 591844934 1183689868 2367379736 4734759472 8745019111 17490038222 34980076444 69960152888 139920305776 253605554219 507211108438 1014422216876 2028844433752 4057688867504