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48405448032 = 25317233127297
BaseRepresentation
bin101101000101001100…
…001000010101100000
311121221110101112112120
4231011030020111200
51243113243314112
634123120424240
73332350343124
oct550514102540
9147843345476
1048405448032
111958a682607
12946aa78080
1347455c3956
1424b2a57584
1513d48bee8c
hexb45308560

48405448032 has 96 divisors (see below), whose sum is σ = 135117152352. Its totient is φ = 15120728064.

The previous prime is 48405448019. The next prime is 48405448033. The reversal of 48405448032 is 23084450484.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48405448033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316608 + ... + 443904.

It is an arithmetic number, because the mean of its divisors is an integer number (1407470337).

Almost surely, 248405448032 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 48405448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67558576176).

48405448032 is an abundant number, since it is smaller than the sum of its proper divisors (86711704320).

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

48405448032 is a wasteful number, since it uses less digits than its factorization.

48405448032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127560 (or 127552 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 48405448032 in words is "forty-eight billion, four hundred five million, four hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 233 272 408 466 544 699 816 932 1398 1632 1864 2796 3728 3961 5592 7456 7922 11184 11883 15844 22368 23766 31688 47532 63376 95064 126752 127297 190128 254594 380256 381891 509188 763782 1018376 1527564 2036752 2164049 3055128 4073504 4328098 6110256 6492147 8656196 12220512 12984294 17312392 25968588 29660201 34624784 51937176 59320402 69249568 88980603 103874352 118640804 177961206 207748704 237281608 355922412 474563216 504223417 711844824 949126432 1008446834 1423689648 1512670251 2016893668 2847379296 3025340502 4033787336 6050681004 8067574672 12101362008 16135149344 24202724016 48405448032