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54505451040 = 2535577196799
BaseRepresentation
bin110010110000110001…
…110010111000100000
312012200120121210112220
4302300301302320200
51343111343413130
641012304551040
73636460455345
oct626061627040
9165616553486
1054505451040
112112a9a7107
12a691922480
1351a83046a1
1428d0c587cc
1516401ad410
hexcb0c72e20

54505451040 has 96 divisors (see below), whose sum is σ = 171990604800. Its totient is φ = 14509522944.

The previous prime is 54505451027. The next prime is 54505451041. The reversal of 54505451040 is 4015450545.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54505450992 and 54505451010.

It is not an unprimeable number, because it can be changed into a prime (54505451041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178561 + ... + 375359.

It is an arithmetic number, because the mean of its divisors is an integer number (1791568800).

Almost surely, 254505451040 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 54505451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85995302400).

54505451040 is an abundant number, since it is smaller than the sum of its proper divisors (117485153760).

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

54505451040 is a wasteful number, since it uses less digits than its factorization.

54505451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197394 (or 197386 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The spelling of 54505451040 in words is "fifty-four billion, five hundred five million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 577 1154 1731 2308 2885 3462 4616 5770 6924 8655 9232 11540 13848 17310 18464 23080 27696 34620 46160 55392 69240 92320 138480 196799 276960 393598 590397 787196 983995 1180794 1574392 1967990 2361588 2951985 3148784 3935980 4723176 5903970 6297568 7871960 9446352 11807940 15743920 18892704 23615880 31487840 47231760 94463520 113553023 227106046 340659069 454212092 567765115 681318138 908424184 1135530230 1362636276 1703295345 1816848368 2271060460 2725272552 3406590690 3633696736 4542120920 5450545104 6813181380 9084241840 10901090208 13626362760 18168483680 27252725520 54505451040