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54721887456 = 2533133754563
BaseRepresentation
bin110010111101101011…
…011011110011100000
312020020122212220111110
4302331223123303200
51344032300344311
641045555543320
73645026240325
oct627553336340
9166218786443
1054721887456
1121231095a85
12a7322bab40
1352110c5082
1429118b8b4c
1516541b28a6
hexcbdadbce0

54721887456 has 96 divisors (see below), whose sum is σ = 148721384448. Its totient is φ = 17599518720.

The previous prime is 54721887433. The next prime is 54721887457. The reversal of 54721887456 is 65478812745.

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 = 54721887396 and 54721887405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54721887457) 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, 975631 + ... + 1030193.

It is an arithmetic number, because the mean of its divisors is an integer number (1549181088).

Almost surely, 254721887456 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 54721887456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74360692224).

54721887456 is an abundant number, since it is smaller than the sum of its proper divisors (93999496992).

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

54721887456 is a wasteful number, since it uses less digits than its factorization.

54721887456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54944 (or 54936 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 57.

The spelling of 54721887456 in words is "fifty-four billion, seven hundred twenty-one million, eight hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 337 372 496 674 744 992 1011 1348 1488 2022 2696 2976 4044 5392 8088 10447 10784 16176 20894 31341 32352 41788 54563 62682 83576 109126 125364 163689 167152 218252 250728 327378 334304 436504 501456 654756 873008 1002912 1309512 1691453 1746016 2619024 3382906 5074359 5238048 6765812 10148718 13531624 18387731 20297436 27063248 36775462 40594872 54126496 55163193 73550924 81189744 110326386 147101848 162379488 220652772 294203696 441305544 570019661 588407392 882611088 1140039322 1710058983 1765222176 2280078644 3420117966 4560157288 6840235932 9120314576 13680471864 18240629152 27360943728 54721887456