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48660215808 = 211311536869
BaseRepresentation
bin101101010100010111…
…111111100000000000
311122121012210002020010
4231110113333200000
51244124003401213
634204301144520
73341563003251
oct552427774000
9148535702203
1048660215808
1119700472396
12952025b140
134786315509
1424d8814b28
1513ebe46ac3
hexb545ff800

48660215808 has 96 divisors (see below), whose sum is σ = 129860312400. Its totient is φ = 16203644928.

The previous prime is 48660215801. The next prime is 48660215837. The reversal of 48660215808 is 80851206684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×486602158082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48660215801) by changing a digit.

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, 7080598 + ... + 7087466.

Almost surely, 248660215808 is an apocalyptic number.

48660215808 is a gapful number since it is divisible by the number (48) 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 48660215808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64930156200).

48660215808 is an abundant number, since it is smaller than the sum of its proper divisors (81200096592).

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

48660215808 is a wasteful number, since it uses less digits than its factorization.

48660215808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 48660215808 in words is "forty-eight billion, six hundred sixty million, two hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1153 1536 2048 2306 3072 3459 4612 6144 6869 6918 9224 13738 13836 18448 20607 27476 27672 36896 41214 54952 55344 73792 82428 109904 110688 147584 164856 219808 221376 295168 329712 439616 442752 590336 659424 879232 885504 1180672 1318848 1758464 1771008 2361344 2637696 3516928 3542016 5275392 7033856 7084032 7919957 10550784 14067712 15839914 21101568 23759871 31679828 42203136 47519742 63359656 95039484 126719312 190078968 253438624 380157936 506877248 760315872 1013754496 1520631744 2027508992 3041263488 4055017984 6082526976 8110035968 12165053952 16220071936 24330107904 48660215808