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399865364687104 = 28101353401109253
BaseRepresentation
bin101101011101011001110100…
…1000001010010100100000000
31221102210202101210011120121121
41122322303221001102210000
5404402343231324441404
63534235340153002024
7150140214333435241
oct13272635101224400
91842722353146547
10399865364687104
11106455a48996368
1238a207056b3314
13142171b0243934
1470a58306cccc8
15313663839de54
hex16bace9052900

399865364687104 has 144 divisors (see below), whose sum is σ = 810378169688304. Its totient is φ = 196898324480000.

The previous prime is 399865364687077. The next prime is 399865364687141. The reversal of 399865364687104 is 401786463568993.

It can be written as a sum of positive squares in 8 ways, for example, as 103560093896704 + 296305270790400 = 10176448^2 + 17213520^2 .

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, 3659939742 + ... + 3660048994.

It is an arithmetic number, because the mean of its divisors is an integer number (5627626178391).

Almost surely, 2399865364687104 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 399865364687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405189084844152).

399865364687104 is an abundant number, since it is smaller than the sum of its proper divisors (410512805001200).

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

399865364687104 is a wasteful number, since it uses less digits than its factorization.

399865364687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110124 (or 110110 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 79.

The spelling of 399865364687104 in words is "three hundred ninety-nine trillion, eight hundred sixty-five billion, three hundred sixty-four million, six hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 353 401 404 706 802 808 1412 1604 1616 2824 3208 3232 5648 6416 6464 11296 12832 12928 22592 25664 25856 35653 40501 45184 51328 71306 81002 90368 102656 109253 141553 142612 162004 218506 283106 285224 324008 437012 566212 570448 648016 874024 1132424 1140896 1296032 1748048 2264848 2281792 2592064 3496096 4529696 4563584 5184128 6992192 9059392 9127168 10368256 11034553 13984384 14296853 18118784 22069106 27968768 28593706 36237568 38566309 43810453 44138212 57187412 77132618 87620906 88276424 114374824 154265236 175241812 176552848 228749648 308530472 350483624 353105696 457499296 617060944 700967248 706211392 914998592 1234121888 1401934496 1412422784 1829997184 2468243776 2803868992 2824845568 3659994368 3895197209 4424855753 4936487552 5607737984 7790394418 8849711506 9872975104 11215475968 15465089909 15580788836 17699423012 30930179818 31161577672 35398846024 61860359636 62323155344 70797692048 123720719272 124646310688 141595384096 247441438544 249292621376 283190768192 494882877088 498585242752 566381536384 989765754176 997170485504 1132763072768 1561974080809 1979531508352 3123948161618 3959063016704 6247896323236 12495792646472 24991585292944 49983170585888 99966341171776 199932682343552 399865364687104