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49094141900 = 225217375913229
BaseRepresentation
bin101101101110001111…
…010010011111001100
311200201110021210220212
4231232033102133030
51301021100020100
634315321501552
73355412215016
oct555617223714
9150643253825
1049094141900
11199033aa4a1
1296216418b8
1348251a4b0b
14253a2cb1b6
1514250ac635
hexb6e3d27cc

49094141900 has 144 divisors (see below), whose sum is σ = 117822146400. Its totient is φ = 17676840960.

The previous prime is 49094141881. The next prime is 49094141909. The reversal of 49094141900 is 914149094.

It is a happy number.

It is a super-2 number, since 2×490941419002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49094141909) 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, 3704486 + ... + 3717714.

It is an arithmetic number, because the mean of its divisors is an integer number (818209350).

Almost surely, 249094141900 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 49094141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58911073200).

49094141900 is an abundant number, since it is smaller than the sum of its proper divisors (68728004500).

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

49094141900 is a wasteful number, since it uses less digits than its factorization.

49094141900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13356 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 49094141900 in words is "forty-nine billion, ninety-four million, one hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 59 68 74 85 100 118 148 170 185 236 295 340 370 425 590 629 740 850 925 1003 1180 1258 1475 1700 1850 2006 2183 2516 2950 3145 3700 4012 4366 5015 5900 6290 8732 10030 10915 12580 13229 15725 20060 21830 25075 26458 31450 37111 43660 50150 52916 54575 62900 66145 74222 100300 109150 132290 148444 185555 218300 224893 264580 330725 371110 449786 489473 661450 742220 780511 899572 927775 978946 1124465 1322900 1561022 1855550 1957892 2248930 2447365 3122044 3711100 3902555 4497860 4894730 5622325 7805110 8321041 9789460 11244650 12236825 13268687 15610220 16642082 19512775 22489300 24473650 26537374 28878907 33284164 39025550 41605205 48947300 53074748 57757814 66343435 78051100 83210410 115515628 132686870 144394535 166420820 208026025 265373740 288789070 331717175 416052050 490941419 577578140 663434350 721972675 832104100 981882838 1326868700 1443945350 1963765676 2454707095 2887890700 4909414190 9818828380 12273535475 24547070950 49094141900