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104056300432 = 24721037731667
BaseRepresentation
bin110000011101000111…
…1010010001110010000
3100221120212021202101001
41200322033102032100
53201101403103212
6115445223351344
710342416650200
oct1407217221620
9327525252331
10104056300432
1140148083707
12182002b2554
139a73cb4206
145071a6c400
152a903d1657
hex183a3d2390

104056300432 has 120 divisors (see below), whose sum is σ = 237250368576. Its totient is φ = 44079001344.

The previous prime is 104056300367. The next prime is 104056300459. The reversal of 104056300432 is 234003650401.

104056300432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 104056300432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62420463 + ... + 62422129.

Almost surely, 2104056300432 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 104056300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118625184288).

104056300432 is an abundant number, since it is smaller than the sum of its proper divisors (133194068144).

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

104056300432 is a wasteful number, since it uses less digits than its factorization.

104056300432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 104056300432 its reverse (234003650401), we get a palindrome (338059950833).

The spelling of 104056300432 in words is "one hundred four billion, fifty-six million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 721 773 784 824 1442 1546 1648 1667 2884 3092 3334 5047 5411 5768 6184 6668 10094 10822 11536 11669 12368 13336 20188 21644 23338 26672 37877 40376 43288 46676 75754 79619 80752 81683 86576 93352 151508 159238 163366 171701 186704 303016 318476 326732 343402 557333 606032 636952 653464 686804 1114666 1201907 1273904 1288591 1306928 1373608 2229332 2403814 2577182 2747216 3901331 4458664 4807628 5154364 7802662 8413349 8917328 9020137 9615256 10308728 15605324 16826698 18040274 19230512 20617456 31210648 33653396 36080548 62421296 63140959 67306792 72161096 126281918 132724873 134613584 144322192 252563836 265449746 505127672 530899492 929074111 1010255344 1061798984 1858148222 2123597968 3716296444 6503518777 7432592888 13007037554 14865185776 26014075108 52028150216 104056300432