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74008148820 = 223543233123113
BaseRepresentation
bin100010011101100111…
…0101011101101010100
321002000202101111101220
41010323032223231110
52203032041230240
653555431250340
75226663612504
oct1047316535524
9232022344356
1074008148820
1129428741661
12124152199b0
136c95960148
14382108ba04
151dd24455d0
hex113b3abb54

74008148820 has 96 divisors (see below), whose sum is σ = 212953732992. Its totient is φ = 19193653248.

The previous prime is 74008148743. The next prime is 74008148873. The reversal of 74008148820 is 2884180047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539584 + ... + 662696.

It is an arithmetic number, because the mean of its divisors is an integer number (2218268052).

Almost surely, 274008148820 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 74008148820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106476866496).

74008148820 is an abundant number, since it is smaller than the sum of its proper divisors (138945584172).

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

74008148820 is a wasteful number, since it uses less digits than its factorization.

74008148820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123401 (or 123399 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 74008148820 in words is "seventy-four billion, eight million, one hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 233 258 430 466 516 645 699 860 932 1165 1290 1398 2330 2580 2796 3495 4660 6990 10019 13980 20038 30057 40076 50095 60114 100190 120228 123113 150285 200380 246226 300570 369339 492452 601140 615565 738678 1231130 1477356 1846695 2462260 3693390 5293859 7386780 10587718 15881577 21175436 26469295 28685329 31763154 52938590 57370658 63526308 79407885 86055987 105877180 114741316 143426645 158815770 172111974 286853290 317631540 344223948 430279935 573706580 860559870 1233469147 1721119740 2466938294 3700407441 4933876588 6167345735 7400814882 12334691470 14801629764 18502037205 24669382940 37004074410 74008148820