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10009643004 = 22321937395513
BaseRepresentation
bin10010101001001111…
…10000011111111100
3221211120220112211200
421110213300133330
5130444432034004
64333125215500
7503022363444
oct112447603774
927746815750
1010009643004
114277200a39
121b34261590
13c369b56aa
146ad553124
153d8b65239
hex2549f07fc

10009643004 has 72 divisors (see below), whose sum is σ = 27353748240. Its totient is φ = 3075501312.

The previous prime is 10009643003. The next prime is 10009643051. The reversal of 10009643004 is 40034690001.

10009643004 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 643 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×100096430042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009643003) 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 23 ways as a sum of consecutive naturals, for example, 172449 + ... + 223064.

It is an arithmetic number, because the mean of its divisors is an integer number (379913170).

Almost surely, 210009643004 is an apocalyptic number.

It is an amenable number.

10009643004 is an abundant number, since it is smaller than the sum of its proper divisors (17344105236).

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

10009643004 is a wasteful number, since it uses less digits than its factorization.

10009643004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395579 (or 395574 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10009643004 in words is "ten billion, nine million, six hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 25308 395513 791026 1186539 1582052 2373078 3559617 4746156 7119234 7514747 14238468 14633981 15029494 22544241 29267962 30058988 43901943 45088482 58535924 67632723 87803886 90176964 131705829 135265446 175607772 263411658 270530892 278045639 526823316 556091278 834136917 1112182556 1668273834 2502410751 3336547668 5004821502 10009643004