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199998924408 = 233247291720261
BaseRepresentation
bin1011101001000011011…
…1010110011001111000
3201010020021021001001200
42322100313112121320
511234044211040113
6231513411014200
720310105544113
oct2722067263170
9633207231050
10199998924408
11779011a7088
123291729a360
1315b2403372a
149973cc157a
155308310873
hex2e90dd6678

199998924408 has 96 divisors (see below), whose sum is σ = 553405469760. Its totient is φ = 65222288640.

The previous prime is 199998924371. The next prime is 199998924443. The reversal of 199998924408 is 804429899991.

199998924408 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 98 + 92 + 440 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9860998 + ... + 9881258.

It is an arithmetic number, because the mean of its divisors is an integer number (5764640310).

Almost surely, 2199998924408 is an apocalyptic number.

199998924408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199998924408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276702734880).

199998924408 is an abundant number, since it is smaller than the sum of its proper divisors (353406545352).

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

199998924408 is a wasteful number, since it uses less digits than its factorization.

199998924408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23237 (or 23230 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 199998924408 in words is "one hundred ninety-nine billion, nine hundred ninety-eight million, nine hundred twenty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2917 3384 5834 8751 11668 17502 20261 23336 26253 35004 40522 52506 60783 70008 81044 105012 121566 137099 162088 182349 210024 243132 274198 364698 411297 486264 548396 729396 822594 952267 1096792 1233891 1458792 1645188 1904534 2467782 2856801 3290376 3809068 4935564 5713602 7618136 8570403 9871128 11427204 17140806 22854408 34281612 59101337 68563224 118202674 177304011 236405348 354608022 472810696 531912033 709216044 1063824066 1418432088 2127648132 2777762839 4255296264 5555525678 8333288517 11111051356 16666577034 22222102712 24999865551 33333154068 49999731102 66666308136 99999462204 199998924408