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48104948416 = 2671719313271
BaseRepresentation
bin101100110011010001…
…110100001011000000
311121011111221120120011
4230303101310023000
51242004331322131
634033223554304
73322041213010
oct546321641300
9147144846504
1048104948416
1119445a97818
1293a62bb994
1346c827c625
142484b93c40
1513b83130b1
hexb334742c0

48104948416 has 112 divisors (see below), whose sum is σ = 115607665152. Its totient is φ = 19387699200.

The previous prime is 48104948389. The next prime is 48104948449. The reversal of 48104948416 is 61484940184.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×481049484163 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48104948416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14704861 + ... + 14708131.

It is an arithmetic number, because the mean of its divisors is an integer number (1032211296).

Almost surely, 248104948416 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 48104948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57803832576).

48104948416 is an abundant number, since it is smaller than the sum of its proper divisors (67502716736).

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

48104948416 is a wasteful number, since it uses less digits than its factorization.

48104948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 48104948416 in words is "forty-eight billion, one hundred four million, nine hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 1931 3271 3808 3862 6542 7616 7724 13084 13517 15448 22897 26168 27034 30896 32827 45794 52336 54068 55607 61792 65654 91588 104672 108136 111214 123584 131308 183176 209344 216272 222428 229789 262616 366352 389249 432544 444856 459578 525232 732704 778498 865088 889712 919156 1050464 1465408 1556996 1779424 1838312 2100928 3113992 3558848 3676624 6227984 6316301 7353248 12455968 12632602 14706496 24911936 25265204 44214107 50530408 88428214 101060816 107377117 176856428 202121632 214754234 353712856 404243264 429508468 707425712 751639819 859016936 1414851424 1503279638 1718033872 2829702848 3006559276 3436067744 6013118552 6872135488 12026237104 24052474208 48104948416