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48330664624 = 24111733734789
BaseRepresentation
bin101101000000101110…
…110110101010110000
311121202020200010222201
4231000232312222300
51242440122231444
634111445512544
73330451604524
oct550056665260
9147666603881
1048330664624
1119551444740
129449a12754
134732c6bb08
1424a6b4bd84
1513cd04bdd4
hexb40bb6ab0

48330664624 has 80 divisors (see below), whose sum is σ = 108217136160. Its totient is φ = 20665774080.

The previous prime is 48330664609. The next prime is 48330664633. The reversal of 48330664624 is 42646603384.

It is a super-2 number, since 2×483306646242 (a number of 22 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 15 ways as a sum of consecutive naturals, for example, 10089622 + ... + 10094410.

It is an arithmetic number, because the mean of its divisors is an integer number (1352714202).

Almost surely, 248330664624 is an apocalyptic number.

48330664624 is a gapful number since it is divisible by the number (44) 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 48330664624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54108568080).

48330664624 is an abundant number, since it is smaller than the sum of its proper divisors (59886471536).

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

48330664624 is a wasteful number, since it uses less digits than its factorization.

48330664624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8192 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 46.

The spelling of 48330664624 in words is "forty-eight billion, three hundred thirty million, six hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 3373 4789 6746 9578 13492 19156 26984 37103 38312 52679 53968 57341 74206 76624 81413 105358 114682 148412 162826 210716 229364 296824 325652 421432 458728 593648 630751 651304 842864 895543 917456 1261502 1302608 1791086 2523004 3582172 5046008 7164344 10092016 14328688 16153297 32306594 64613188 129226376 177686267 258452752 274606049 355372534 549212098 710745068 1098424196 1421490136 2196848392 2842980272 3020666539 4393696784 6041333078 12082666156 24165332312 48330664624