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54646746414 = 23132937963743
BaseRepresentation
bin110010111001001100…
…110010110100101110
312020001102111100100220
4302321030302310232
51343404031341124
641034313232210
73643124452251
oct627114626456
9166042440326
1054646746414
11211a2733447
12a711102666
1351cb676510
142905919098
15164c7bd879
hexcb9332d2e

54646746414 has 64 divisors (see below), whose sum is σ = 122082508800. Its totient is φ = 16191487872.

The previous prime is 54646746397. The next prime is 54646746437. The reversal of 54646746414 is 41464764645.

It is a happy number.

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, 825427 + ... + 889169.

It is an arithmetic number, because the mean of its divisors is an integer number (1907539200).

Almost surely, 254646746414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54646746414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61041254400).

54646746414 is an abundant number, since it is smaller than the sum of its proper divisors (67435762386).

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

54646746414 is a wasteful number, since it uses less digits than its factorization.

54646746414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64169.

The product of its digits is 7741440, while the sum is 51.

The spelling of 54646746414 in words is "fifty-four billion, six hundred forty-six million, seven hundred forty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 379 754 758 1131 1137 2262 2274 4927 9854 10991 14781 21982 29562 32973 63743 65946 127486 142883 191229 285766 382458 428649 828659 857298 1657318 1848547 2485977 3697094 4971954 5545641 11091282 24031111 24158597 48062222 48317194 72093333 72475791 144186666 144951582 314061761 628123522 700599313 942185283 1401198626 1884370566 2101797939 4203595878 9107791069 18215582138 27323373207 54646746414