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45400846000 = 2453171335319
BaseRepresentation
bin101010010010000110…
…011110111010110000
311100012001200221101211
4222102012132322300
51220440104033000
632505025405504
73165034552336
oct522206367260
9140161627354
1045400846000
1118288659634
128970799894
134386c8a823
1422a99b3b56
1512aac1c7ba
hexa9219eeb0

45400846000 has 80 divisors (see below), whose sum is σ = 116236935360. Its totient is φ = 17092070400.

The previous prime is 45400845953. The next prime is 45400846037. The reversal of 45400846000 is 64800454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×454008460002 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 633660 + ... + 701659.

It is an arithmetic number, because the mean of its divisors is an integer number (1452961692).

Almost surely, 245400846000 is an apocalyptic number.

45400846000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45400846000 is an abundant number, since it is smaller than the sum of its proper divisors (70836089360).

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

45400846000 is a wasteful number, since it uses less digits than its factorization.

45400846000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335359 (or 1335343 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 45400846000 in words is "forty-five billion, four hundred million, eight hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 1335319 2670638 5341276 6676595 10682552 13353190 21365104 22700423 26706380 33382975 45400846 53412760 66765950 90801692 106825520 113502115 133531900 166914875 181603384 227004230 267063800 333829750 363206768 454008460 534127600 567510575 667659500 908016920 1135021150 1335319000 1816033840 2270042300 2670638000 2837552875 4540084600 5675105750 9080169200 11350211500 22700423000 45400846000