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46104285000 = 233543199149
BaseRepresentation
bin101010111100000001…
…111000111101001000
311102000002100100022010
4222330001320331020
51223410144110000
633102514455520
73221335646034
oct527401707510
9142002310263
1046104285000
1118609737784
128b282945a0
134469932317
1423351a51c4
1512ec86dd50
hexabc078f48

46104285000 has 160 divisors (see below), whose sum is σ = 148677408000. Its totient is φ = 11897760000.

The previous prime is 46104284953. The next prime is 46104285001. The reversal of 46104285000 is 58240164.

It is a super-2 number, since 2×461042850002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46104285001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 415426 + ... + 514574.

It is an arithmetic number, because the mean of its divisors is an integer number (929233800).

Almost surely, 246104285000 is an apocalyptic number.

46104285000 is a gapful number since it is divisible by the number (40) 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 46104285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74338704000).

46104285000 is an abundant number, since it is smaller than the sum of its proper divisors (102573123000).

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

46104285000 is a wasteful number, since it uses less digits than its factorization.

46104285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99209 (or 99190 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 46104285000 in words is "forty-six billion, one hundred four million, two hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 625 744 750 775 930 1000 1240 1250 1500 1550 1860 1875 2325 2500 3000 3100 3720 3750 3875 4650 5000 6200 7500 7750 9300 11625 15000 15500 18600 19375 23250 31000 38750 46500 58125 77500 93000 99149 116250 155000 198298 232500 297447 396596 465000 495745 594894 793192 991490 1189788 1487235 1982980 2379576 2478725 2974470 3073619 3965960 4957450 5948940 6147238 7436175 9220857 9914900 11897880 12294476 12393625 14872350 15368095 18441714 19829800 24588952 24787250 29744700 30736190 36883428 37180875 46104285 49574500 59489400 61472380 61968125 73766856 74361750 76840475 92208570 99149000 122944760 123936250 148723500 153680950 184417140 185904375 230521425 247872500 297447000 307361900 368834280 371808750 384202375 461042850 495745000 614723800 743617500 768404750 922085700 1152607125 1487235000 1536809500 1844171400 1921011875 2305214250 3073619000 3842023750 4610428500 5763035625 7684047500 9220857000 11526071250 15368095000 23052142500 46104285000