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104604427400 = 235211210142797
BaseRepresentation
bin110000101101011101…
…0001110010010001000
3101000000001200111012212
41201122322032102020
53203212213134100
6120015443524252
710362123651044
oct1413272162210
9330001614185
10104604427400
11403a9521600
1218333989688
139b30719cb5
1450c4791024
152ac35a4635
hex185ae8e488

104604427400 has 144 divisors (see below), whose sum is σ = 269977915620. Its totient is φ = 37660480000.

The previous prime is 104604427399. The next prime is 104604427441. The reversal of 104604427400 is 4724406401.

It can be written as a sum of positive squares in 6 ways, for example, as 93392582404 + 11211844996 = 305602^2 + 105886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2422802 + ... + 2465598.

Almost surely, 2104604427400 is an apocalyptic number.

104604427400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104604427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134988957810).

104604427400 is an abundant number, since it is smaller than the sum of its proper divisors (165373488220).

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

104604427400 is a wasteful number, since it uses less digits than its factorization.

104604427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42936 (or 42916 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 104604427400 in words is "one hundred four billion, six hundred four million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5555 6050 8888 10100 11110 12100 12221 20200 22220 24200 24442 27775 42797 44440 48884 55550 61105 85594 97768 111100 122210 171188 213985 222200 244420 305525 342376 427970 470767 488840 611050 855940 941534 1069925 1222100 1711880 1883068 2139850 2353835 2444200 3766136 4279700 4322497 4707670 5178437 8559400 8644994 9415340 10356874 11769175 17289988 18830680 20713748 21612485 23538350 25892185 34579976 41427496 43224970 47076700 47547467 51784370 86449940 94153400 95094934 103568740 108062425 129460925 172899880 190189868 207137480 216124850 237737335 258921850 380379736 432249700 475474670 517843700 523022137 864499400 950949340 1035687400 1046044274 1188686675 1901898680 2092088548 2377373350 2615110685 4184177096 4754746700 5230221370 9509493400 10460442740 13075553425 20920885480 26151106850 52302213700 104604427400