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10004424100002 = 2342691459157351
BaseRepresentation
bin1001000110010101011000…
…1001010000100010100010
31022102102011111221211010000
42101211112021100202202
52302403030032200002
633135545144520430
72051536645516113
oct221452611204242
938372144854100
1010004424100002
113207941653912
121156b11480116
1357754a8a8b87
1426830691c20a
1512538853c61c
hex919562508a2

10004424100002 has 80 divisors (see below), whose sum is σ = 22516221499200. Its totient is φ = 3320112693600.

The previous prime is 10004424100001. The next prime is 10004424100003. The reversal of 10004424100002 is 20000142440001.

It is an interprime number because it is at equal distance from previous prime (10004424100001) and next prime (10004424100003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10004424100001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63501627 + ... + 63658977.

It is an arithmetic number, because the mean of its divisors is an integer number (281452768740).

Almost surely, 210004424100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004424100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258110749600).

10004424100002 is an abundant number, since it is smaller than the sum of its proper divisors (12511797399198).

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

10004424100002 is a wasteful number, since it uses less digits than its factorization.

10004424100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159093 (or 159084 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10004424100002 its reverse (20000142440001), we get a palindrome (30004566540003).

The spelling of 10004424100002 in words is "ten trillion, four billion, four hundred twenty-four million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 269 538 807 1459 1614 2421 2918 4377 4842 7263 8754 13131 14526 21789 26262 39393 43578 78786 118179 157351 236358 314702 392471 472053 784942 944106 1177413 1416159 2354826 2832318 3532239 4248477 7064478 8496954 10596717 12745431 21193434 25490862 31790151 42327419 63580302 84654838 126982257 229575109 253964514 380946771 459150218 688725327 761893542 1142840313 1377450654 2066175981 2285680626 3428520939 4132351962 6198527943 6857041878 12397055886 18595583829 37191167658 61755704321 123511408642 185267112963 370534225926 555801338889 1111602677778 1667404016667 3334808033334 5002212050001 10004424100002