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17953504149 = 371973616387
BaseRepresentation
bin10000101110000111…
…001011101110010101
31201100012200111201010
4100232013023232111
5243232044113044
612125301522433
71203622160460
oct205607135625
951305614633
1017953504149
117683315439
123590713419
131901701149
14c245a62d7
15701271bb9
hex42e1cbb95

17953504149 has 32 divisors (see below), whose sum is σ = 29192135680. Its totient is φ = 9586035072.

The previous prime is 17953504097. The next prime is 17953504159. The reversal of 17953504149 is 94140535971.

It is not a de Polignac number, because 17953504149 - 231 = 15806020501 is a prime.

It is a super-2 number, since 2×179535041492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17953504098 and 17953504107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17953504159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279067 + ... + 337320.

It is an arithmetic number, because the mean of its divisors is an integer number (912254240).

Almost surely, 217953504149 is an apocalyptic number.

17953504149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

17953504149 is a deficient number, since it is larger than the sum of its proper divisors (11238631531).

17953504149 is a wasteful number, since it uses less digits than its factorization.

17953504149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616489.

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 17953504149 in words is "seventeen billion, nine hundred fifty-three million, five hundred four thousand, one hundred forty-nine".

Divisors: 1 3 7 19 21 57 73 133 219 399 511 1387 1533 4161 9709 29127 616387 1849161 4314709 11711353 12944127 35134059 44996251 81979471 134988753 245938413 314973757 854928769 944921271 2564786307 5984501383 17953504149