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13408374100 = 22521119641549
BaseRepresentation
bin11000111110011001…
…11000110101010100
31021121110012222102011
430133030320311110
5204430020432400
610054255554004
7653162204452
oct143714706524
937543188364
1013408374100
11576074aa10
12272252b904
131358b85a94
14912aad9d2
1553721b8ba
hex31f338d54

13408374100 has 72 divisors (see below), whose sum is σ = 33411924000. Its totient is φ = 4619145600.

The previous prime is 13408374047. The next prime is 13408374103. The reversal of 13408374100 is 147380431.

It is a super-3 number, since 3×134083741003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408374103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299875 + ... + 341674.

It is an arithmetic number, because the mean of its divisors is an integer number (464054500).

Almost surely, 213408374100 is an apocalyptic number.

13408374100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13408374100 is an abundant number, since it is smaller than the sum of its proper divisors (20003549900).

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

13408374100 is a wasteful number, since it uses less digits than its factorization.

13408374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641593 (or 641586 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 13408374100 in words is "thirteen billion, four hundred eight million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 641549 1283098 2566196 3207745 6415490 7057039 12189431 12830980 14114078 16038725 24378862 28228156 32077450 35285195 48757724 60947155 64154900 70570390 121894310 134083741 141140780 176425975 243788620 268167482 304735775 352851950 536334964 609471550 670418705 705703900 1218943100 1340837410 2681674820 3352093525 6704187050 13408374100