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104003433432 = 23332043123567
BaseRepresentation
bin110000011011100010…
…1100111001111011000
3100221110011210211111000
41200313011213033120
53200444334332212
6115440054305000
710341205412043
oct1406705471730
9327404724430
10104003433432
1140120254978
12181a6658160
139a66063b72
145068a29c5a
152a8a93c1dc
hex18371673d8

104003433432 has 64 divisors (see below), whose sum is σ = 288924825600. Its totient is φ = 34664643360.

The previous prime is 104003433431. The next prime is 104003433433. The reversal of 104003433432 is 234334300401.

It is an interprime number because it is at equal distance from previous prime (104003433431) and next prime (104003433433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104003433396 and 104003433405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104003433431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4401313 + ... + 4424879.

It is an arithmetic number, because the mean of its divisors is an integer number (4514450400).

Almost surely, 2104003433432 is an apocalyptic number.

104003433432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104003433432 is an abundant number, since it is smaller than the sum of its proper divisors (184921392168).

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

104003433432 is a wasteful number, since it uses less digits than its factorization.

104003433432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44013 (or 44003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 104003433432 its reverse (234334300401), we get a palindrome (338337733833).

The spelling of 104003433432 in words is "one hundred four billion, three million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 20431 23567 40862 47134 61293 70701 81724 94268 122586 141402 163448 183879 188536 212103 245172 282804 367758 424206 490344 551637 565608 636309 735516 848412 1103274 1272618 1471032 1696824 2206548 2545236 4413096 5090472 481497377 962994754 1444492131 1925989508 2888984262 3851979016 4333476393 5777968524 8666952786 11555937048 13000429179 17333905572 26000858358 34667811144 52001716716 104003433432