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368104010480 = 24537523237781
BaseRepresentation
bin1010101101101001011…
…01010111001011110000
31022012010210122012221122
411112310231113023300
522012334111313410
6441034334241412
735410650314633
oct5266455271360
91265123565848
10368104010480
11132126132388
125b411356268
1328934517c6b
1413b60015c1a
159896604e55
hex55b4b572f0

368104010480 has 80 divisors (see below), whose sum is σ = 880657024224. Its totient is φ = 142987576320.

The previous prime is 368104010471. The next prime is 368104010497. The reversal of 368104010480 is 84010401863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 368104010480.

It is a congruent number.

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, 1429190 + ... + 1666970.

Almost surely, 2368104010480 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 368104010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440328512112).

368104010480 is an abundant number, since it is smaller than the sum of its proper divisors (512553013744).

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

368104010480 is a wasteful number, since it uses less digits than its factorization.

368104010480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238354 (or 238348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 368104010480 in words is "three hundred sixty-eight billion, one hundred four million, ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 523 592 740 1046 1480 2092 2615 2960 4184 5230 8368 10460 19351 20920 38702 41840 77404 96755 154808 193510 237781 309616 387020 475562 774040 951124 1188905 1548080 1902248 2377810 3804496 4755620 8797897 9511240 17595794 19022480 35191588 43989485 70383176 87978970 124359463 140766352 175957940 248718926 351915880 497437852 621797315 703831760 994875704 1243594630 1989751408 2487189260 4601300131 4974378520 9202600262 9948757040 18405200524 23006500655 36810401048 46013001310 73620802096 92026002620 184052005240 368104010480