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148148156296296 = 2332131543211025641
BaseRepresentation
bin100001101011110101101110…
…001110101110110001101000
3201102112211021201211121022200
4201223311232032232301220
5123404224411002440141
61243030153510420200
743130231264040162
oct4153655616566150
9642484251747280
10148148156296296
114322830a018762
1214748131961660
136488407901670
1428825a2509932
15121da18243ab6
hex86bd6e3aec68

148148156296296 has 96 divisors (see below), whose sum is σ = 432102010496520. Its totient is φ = 45583708262400.

The previous prime is 148148156296291. The next prime is 148148156296319. The reversal of 148148156296296 is 692692651841841.

148148156296296 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 48 + 1 + 5 + 6 + 296 + 296 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28128024459396 + 120020131836900 = 5303586^2 + 10955370^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (148148156296291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143931636 + ... + 144957276.

Almost surely, 2148148156296296 is an apocalyptic number.

It is an amenable number.

148148156296296 is an abundant number, since it is smaller than the sum of its proper divisors (283953854200224).

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

148148156296296 is a wasteful number, since it uses less digits than its factorization.

148148156296296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179987 (or 1179980 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 148148156296296 in words is "one hundred forty-eight trillion, one hundred forty-eight billion, one hundred fifty-six million, two hundred ninety-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 154321 308642 462963 617284 925926 1025641 1234568 1388889 1851852 2006173 2051282 2777778 3076923 3703704 4012346 4102564 5555556 6018519 6153846 8024692 8205128 9230769 11111112 12037038 12307692 13333333 16049384 18055557 18461538 24074076 24615384 26666666 36111114 36923076 39999999 48148152 53333332 72222228 73846152 79999998 106666664 119999997 144444456 159999996 239999994 319999992 479999988 959999976 158277944761 316555889522 474833834283 633111779044 949667668566 1266223558088 1424501502849 1899335337132 2057613281893 2849003005698 3798670674264 4115226563786 5698006011396 6172839845679 8230453127572 11396012022792 12345679691358 16460906255144 18518519537037 24691359382716 37037039074074 49382718765432 74074078148148 148148156296296