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45138584880 = 243456965831
BaseRepresentation
bin101010000010011110…
…000010010100110000
311022111210012200210000
4222002132002110300
51214420434204010
632423020310000
73155401432554
oct520236022460
9138453180700
1045138584880
1118163610a04
1288b89a2300
13434484432c
142282c25864
151292bb57c0
hexa82782530

45138584880 has 100 divisors (see below), whose sum is σ = 156773014992. Its totient is φ = 12036954240.

The previous prime is 45138584863. The next prime is 45138584891. The reversal of 45138584880 is 8848583154.

45138584880 is a `hidden beast` number, since 4 + 51 + 3 + 8 + 584 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×451385848802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3476436 + ... + 3489395.

Almost surely, 245138584880 is an apocalyptic number.

45138584880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45138584880 is an abundant number, since it is smaller than the sum of its proper divisors (111634430112).

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

45138584880 is a wasteful number, since it uses less digits than its factorization.

45138584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965856 (or 6965841 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 45138584880 in words is "forty-five billion, one hundred thirty-eight million, five hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 6965831 13931662 20897493 27863324 34829155 41794986 55726648 62692479 69658310 83589972 104487465 111453296 125384958 139316620 167179944 188077437 208974930 250769916 278633240 313462395 334359888 376154874 417949860 501539832 557266480 564232311 626924790 752309748 835899720 940387185 1003079664 1128464622 1253849580 1504619496 1671799440 1880774370 2256929244 2507699160 2821161555 3009238992 3761548740 4513858488 5015398320 5642323110 7523097480 9027716976 11284646220 15046194960 22569292440 45138584880