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48810721152 = 2733121119433
BaseRepresentation
bin101101011101010110…
…000111111110000000
311122222200222112202010
4231131112013332000
51244431021034102
634231235052520
73345401166324
oct553526077600
9148880875663
1048810721152
111977841a276
129562741140
1347ab56042b
1425107d1984
15140a275d6c
hexb5d587f80

48810721152 has 128 divisors (see below), whose sum is σ = 134477061120. Its totient is φ = 15669964800.

The previous prime is 48810721067. The next prime is 48810721153. The reversal of 48810721152 is 25112701884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 48810721152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48810721153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502028 + ... + 2521460.

It is an arithmetic number, because the mean of its divisors is an integer number (1050602040).

Almost surely, 248810721152 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 48810721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67238530560).

48810721152 is an abundant number, since it is smaller than the sum of its proper divisors (85666339968).

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

48810721152 is a wasteful number, since it uses less digits than its factorization.

48810721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The spelling of 48810721152 in words is "forty-eight billion, eight hundred ten million, seven hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 211 248 372 384 422 496 633 744 844 992 1266 1488 1688 1984 2532 2976 3376 3968 5064 5952 6541 6752 10128 11904 13082 13504 19433 19623 20256 26164 27008 38866 39246 40512 52328 58299 77732 78492 81024 104656 116598 155464 156984 209312 233196 310928 313968 418624 466392 602423 621856 627936 837248 932784 1204846 1243712 1255872 1807269 1865568 2409692 2487424 2511744 3614538 3731136 4100363 4819384 7229076 7462272 8200726 9638768 12301089 14458152 16401452 19277536 24602178 28916304 32802904 38555072 49204356 57832608 65605808 77110144 98408712 115665216 127111253 131211616 196817424 231330432 254222506 262423232 381333759 393634848 508445012 524846464 762667518 787269696 1016890024 1525335036 1574539392 2033780048 3050670072 4067560096 6101340144 8135120192 12202680288 16270240384 24405360576 48810721152