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48896176080 = 2435534917829
BaseRepresentation
bin101101100010011100…
…000110111111010000
311200012122210002212110
4231202130012333100
51300114410113310
634243530425320
73350456432133
oct554234067720
9150178702773
1048896176080
1119811686884
129587292240
1347c318068b
14251bcb821a
151412a05d20
hexb62706fd0

48896176080 has 160 divisors (see below), whose sum is σ = 154772415360. Its totient is φ = 12765276160.

The previous prime is 48896175967. The next prime is 48896176081. The reversal of 48896176080 is 8067169884.

48896176080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48896176080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48896176081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6241606 + ... + 6249434.

It is an arithmetic number, because the mean of its divisors is an integer number (967327596).

Almost surely, 248896176080 is an apocalyptic number.

48896176080 is a gapful number since it is divisible by the number (40) 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 48896176080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77386207680).

48896176080 is an abundant number, since it is smaller than the sum of its proper divisors (105876239280).

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

48896176080 is a wasteful number, since it uses less digits than its factorization.

48896176080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 48896176080 in words is "forty-eight billion, eight hundred ninety-six million, one hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 491 530 636 795 848 982 1060 1272 1473 1590 1964 2120 2455 2544 2946 3180 3928 4240 4910 5892 6360 7365 7829 7856 9820 11784 12720 14730 15658 19640 23487 23568 26023 29460 31316 39145 39280 46974 52046 58920 62632 78069 78290 93948 104092 117435 117840 125264 130115 156138 156580 187896 208184 234870 260230 312276 313160 375792 390345 414937 416368 469740 520460 624552 626320 780690 829874 939480 1040920 1244811 1249104 1561380 1659748 1878960 2074685 2081840 2489622 3122760 3319496 3844039 4149370 4979244 6224055 6245520 6638992 7688078 8298740 9958488 11532117 12448110 15376156 16597480 19220195 19916976 23064234 24896220 30752312 33194960 38440390 46128468 49792440 57660585 61504624 76880780 92256936 99584880 115321170 153761560 184513872 203734067 230642340 307523120 407468134 461284680 611202201 814936268 922569360 1018670335 1222404402 1629872536 2037340670 2444808804 3056011005 3259745072 4074681340 4889617608 6112022010 8149362680 9779235216 12224044020 16298725360 24448088040 48896176080