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99998417493 = 32133135277817
BaseRepresentation
bin101110100100001011…
…1101100001001010101
3100120010001122221110100
41131020113230021111
53114244043324433
6113534425044313
710140024344532
oct1351027541125
9316101587410
1099998417493
1139455555147
1217469326699
1395783a7350
144ba8b6bd89
152904025b13
hex17485ec255

99998417493 has 48 divisors (see below), whose sum is σ = 160637008896. Its totient is φ = 59527906560.

The previous prime is 99998417471. The next prime is 99998417507. The reversal of 99998417493 is 39471489999.

99998417493 is a `hidden beast` number, since 9 + 9 + 9 + 98 + 41 + 7 + 493 = 666.

It is not a de Polignac number, because 99998417493 - 25 = 99998417461 is a prime.

It is a super-3 number, since 3×999984174933 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99998417423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12788521 + ... + 12796337.

It is an arithmetic number, because the mean of its divisors is an integer number (3346604352).

Almost surely, 299998417493 is an apocalyptic number.

99998417493 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

99998417493 is a deficient number, since it is larger than the sum of its proper divisors (60638591403).

99998417493 is a wasteful number, since it uses less digits than its factorization.

With its successor (99998417494) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (11391).

99998417493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11394 (or 11391 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 99998417493 in words is "ninety-nine billion, nine hundred ninety-eight million, four hundred seventeen thousand, four hundred ninety-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3527 3627 7817 10581 23451 31743 45851 70353 101621 109337 137553 242327 304863 328011 412659 726981 914589 984033 1421381 2180943 3150251 4264143 9450753 12792429 27570559 28352259 82711677 248135031 358417267 854687329 1075251801 2564061987 3225755403 7692185961 11110935277 33332805831 99998417493