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54677951380 = 225135310133917
BaseRepresentation
bin110010111011000011…
…110101001110010100
312020010121012201112101
4302323003311032110
51343440023421010
641041350131444
73643653626653
oct627303651624
9166117181471
1054677951380
1121209307178
12a71b650b84
135204c80ab0
142909b1d19a
1516503d473a
hexcbb0f5394

54677951380 has 96 divisors (see below), whose sum is σ = 126145996704. Its totient is φ = 19783256064.

The previous prime is 54677951357. The next prime is 54677951431. The reversal of 54677951380 is 8315977645.

It can be written as a sum of positive squares in 16 ways, for example, as 25292449296 + 29385502084 = 159036^2 + 171422^2 .

It is a super-2 number, since 2×546779513802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13957182 + ... + 13961098.

It is an arithmetic number, because the mean of its divisors is an integer number (1314020799).

Almost surely, 254677951380 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 54677951380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63072998352).

54677951380 is an abundant number, since it is smaller than the sum of its proper divisors (71468045324).

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

54677951380 is a wasteful number, since it uses less digits than its factorization.

54677951380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 54677951380 in words is "fifty-four billion, six hundred seventy-seven million, nine hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1013 1060 1378 2026 2756 3445 3917 4052 5065 6890 7834 10130 13169 13780 15668 19585 20260 26338 39170 50921 52676 53689 65845 78340 101842 107378 131690 203684 207601 214756 254605 263380 268445 415202 509210 536890 697957 830404 1018420 1038005 1073780 1395914 2076010 2698813 2791828 3489785 3967921 4152020 5397626 6979570 7935842 10795252 13494065 13959140 15871684 19839605 26988130 39679210 51582973 53976260 79358420 103165946 206331892 210299813 257914865 420599626 515829730 841199252 1031659460 1051499065 2102998130 2733897569 4205996260 5467795138 10935590276 13669487845 27338975690 54677951380