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54740146244 = 22737533592777
BaseRepresentation
bin110010111110110001…
…000101100001000100
312020021221020112211212
4302332301011201010
51344101434134434
641051451150552
73645340365050
oct627661054104
9166257215755
1054740146244
1121240427093
12a738445458
135214b18aa4
1429140acc60
151655abc8ce
hexcbec45844

54740146244 has 96 divisors (see below), whose sum is σ = 114921192960. Its totient is φ = 22324902912.

The previous prime is 54740146243. The next prime is 54740146273. The reversal of 54740146244 is 44264104745.

It is a super-2 number, since 2×547401462442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54740146243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19710584 + ... + 19713360.

It is an arithmetic number, because the mean of its divisors is an integer number (1197095760).

Almost surely, 254740146244 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 54740146244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57460596480).

54740146244 is an abundant number, since it is smaller than the sum of its proper divisors (60181046716).

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

54740146244 is a wasteful number, since it uses less digits than its factorization.

54740146244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 41.

The spelling of 54740146244 in words is "fifty-four billion, seven hundred forty million, one hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 37 53 74 106 148 212 259 359 371 518 718 742 1036 1436 1484 1961 2513 2777 3922 5026 5554 7844 10052 11108 13283 13727 19027 19439 26566 27454 38054 38878 53132 54908 76108 77756 92981 102749 133189 147181 185962 205498 266378 294362 371924 410996 532756 588724 703999 719243 996943 1030267 1407998 1438486 1993886 2060534 2815996 2876972 3987772 4121068 4927993 5445697 6978601 9855986 10891394 13957202 19711972 21782788 27914404 36886891 38119879 52837979 73773782 76239758 105675958 147547564 152479516 211351916 258208237 369865853 516416474 739731706 1032832948 1479463412 1955005223 3910010446 7820020892 13685036561 27370073122 54740146244