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45554021040 = 24351160128711
BaseRepresentation
bin101010011011001110…
…110011001010110000
311100120201221001001110
4222123032303022300
51221243312133130
632532140433320
73201604534653
oct523316631260
9140521831043
1045554021040
111835706a280
1289b3b48840
1343ac92b948
1422c208789a
1512b93c7ab0
hexa9b3b32b0

45554021040 has 160 divisors (see below), whose sum is σ = 154317123072. Its totient is φ = 11024640000.

The previous prime is 45554021039. The next prime is 45554021057. The reversal of 45554021040 is 4012045554.

45554021040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 45554020989 and 45554021007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572285 + ... + 1600995.

Almost surely, 245554021040 is an apocalyptic number.

45554021040 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 45554021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77158561536).

45554021040 is an abundant number, since it is smaller than the sum of its proper divisors (108763102032).

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

45554021040 is a wasteful number, since it uses less digits than its factorization.

45554021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29339 (or 29333 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 45554021040 its reverse (4012045554), we get a palindrome (49566066594).

The spelling of 45554021040 in words is "forty-five billion, five hundred fifty-four million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 601 660 880 1202 1320 1803 2404 2640 3005 3606 4808 6010 6611 7212 9015 9616 12020 13222 14424 18030 19833 24040 26444 28711 28848 33055 36060 39666 48080 52888 57422 66110 72120 79332 86133 99165 105776 114844 132220 143555 144240 158664 172266 198330 229688 264440 287110 315821 317328 344532 396660 430665 459376 528880 574220 631642 689064 793320 861330 947463 1148440 1263284 1378128 1579105 1586640 1722660 1894926 2296880 2526568 3158210 3445320 3789852 4737315 5053136 6316420 6890640 7579704 9474630 12632840 15159408 17255311 18949260 25265680 34510622 37898520 51765933 69021244 75797040 86276555 103531866 138042488 172553110 189808421 207063732 258829665 276084976 345106220 379616842 414127464 517659330 569425263 690212440 759233684 828254928 949042105 1035318660 1138850526 1380424880 1518467368 1898084210 2070637320 2277701052 2847126315 3036934736 3796168420 4141274640 4555402104 5694252630 7592336840 9110804208 11388505260 15184673680 22777010520 45554021040