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74999031900 = 223521320819241
BaseRepresentation
bin100010111011001001…
…0100110100001011100
321011120210220120110020
41011312102212201130
52212044223010100
654242025312140
75263355152452
oct1056622464134
9234523816406
1074999031900
1129896aa87a1
1212651035650
1370c30276b0
1438b69049d2
151e3e4255a0
hex11764a685c

74999031900 has 144 divisors (see below), whose sum is σ = 233826888288. Its totient is φ = 18450432000.

The previous prime is 74999031883. The next prime is 74999031929. The reversal of 74999031900 is 913099947.

It is a super-2 number, since 2×749990319002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8111280 + ... + 8120520.

Almost surely, 274999031900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74999031900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116913444144).

74999031900 is an abundant number, since it is smaller than the sum of its proper divisors (158827856388).

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

74999031900 is a wasteful number, since it uses less digits than its factorization.

74999031900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The spelling of 74999031900 in words is "seventy-four billion, nine hundred ninety-nine million, thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2081 3900 4162 6243 8324 9241 10405 12486 18482 20810 24972 27053 27723 31215 36964 41620 46205 52025 54106 55446 62430 81159 92410 104050 108212 110892 120133 124860 135265 138615 156075 162318 184820 208100 231025 240266 270530 277230 312150 324636 360399 405795 462050 480532 541060 554460 600665 624300 676325 693075 720798 811590 924100 1201330 1352650 1386150 1441596 1623180 1801995 2028975 2402660 2705300 2772300 3003325 3603990 4057950 6006650 7207980 8115900 9009975 12013300 18019950 19230521 36039900 38461042 57691563 76922084 96152605 115383126 192305210 230766252 249996773 288457815 384610420 480763025 499993546 576915630 749990319 961526050 999987092 1153831260 1249983865 1442289075 1499980638 1923052100 2499967730 2884578150 2999961276 3749951595 4999935460 5769156300 6249919325 7499903190 12499838650 14999806380 18749757975 24999677300 37499515950 74999031900