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20400364432 = 2472317611103
BaseRepresentation
bin10010111111111101…
…001101101110010000
31221122201212220000001
4102333331031232100
5313234443130212
613212150335344
71321353144100
oct227775155620
957581786001
1020400364432
118719523818
123b5405a554
131c01616076
14db7543200
157e5ea2657
hex4bff4db90

20400364432 has 120 divisors (see below), whose sum is σ = 47567526912. Its totient is φ = 8442201600.

The previous prime is 20400364427. The next prime is 20400364433. The reversal of 20400364432 is 23446300402.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 20400364432.

It is not an unprimeable number, because it can be changed into a prime (20400364433) 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, 18494793 + ... + 18495895.

Almost surely, 220400364432 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 20400364432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783763456).

20400364432 is an abundant number, since it is smaller than the sum of its proper divisors (27167162480).

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

20400364432 is a wasteful number, since it uses less digits than its factorization.

20400364432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20400364432 its reverse (23446300402), we get a palindrome (43846664834).

The spelling of 20400364432 in words is "twenty billion, four hundred million, three hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 761 784 868 1103 1519 1522 1736 2206 3038 3044 3472 4412 5327 6076 6088 7721 8824 10654 12152 12176 15442 17648 21308 23591 24304 30884 34193 37289 42616 47182 54047 61768 68386 74578 85232 94364 108094 123536 136772 149156 165137 188728 216188 239351 273544 298312 330274 377456 432376 478702 547088 596624 660548 839383 864752 957404 1155959 1321096 1675457 1678766 1914808 2311918 2642192 3350914 3357532 3829616 4623836 5875681 6701828 6715064 9247672 11751362 13403656 13430128 18495344 23502724 26020873 26807312 41129767 47005448 52041746 82259534 94010896 104083492 164519068 182146111 208166984 329038136 364292222 416333968 658076272 728584444 1275022777 1457168888 2550045554 2914337776 5100091108 10200182216 20400364432