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54858331792 = 2411375322999
BaseRepresentation
bin110011000101110011…
…111011011010010000
312020121011121222221101
4303011303323122100
51344322213104132
641111312234144
73651304061245
oct630563733220
9166534558841
1054858331792
11212a11096a0
12a76bb3b954
135233458b74
142925a755cc
1516611657e7
hexcc5cfb690

54858331792 has 120 divisors (see below), whose sum is σ = 121414104000. Its totient is φ = 23795965440.

The previous prime is 54858331783. The next prime is 54858331793. The reversal of 54858331792 is 29713385845.

It is not an unprimeable number, because it can be changed into a prime (54858331793) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18290709 + ... + 18293707.

It is an arithmetic number, because the mean of its divisors is an integer number (1011784200).

Almost surely, 254858331792 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 54858331792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60707052000).

54858331792 is an abundant number, since it is smaller than the sum of its proper divisors (66555772208).

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

54858331792 is a wasteful number, since it uses less digits than its factorization.

54858331792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3102 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 54858331792 in words is "fifty-four billion, eight hundred fifty-eight million, three hundred thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 37 44 53 74 88 106 148 176 212 296 407 424 583 592 814 848 1166 1628 1961 2332 2809 2999 3256 3922 4664 5618 5998 6512 7844 9328 11236 11996 15688 21571 22472 23992 30899 31376 32989 43142 44944 47984 61798 65978 86284 103933 110963 123596 131956 158947 172568 207866 221926 247192 263912 317894 345136 415732 443852 494384 527824 635788 831464 887704 1143263 1220593 1271576 1662928 1748417 1775408 2286526 2441186 2543152 3496834 4573052 4882372 5881039 6993668 8424191 9146104 9764744 11762078 13987336 16848382 18292208 19529488 23524156 27974672 33696764 47048312 64691429 67393528 92666101 94096624 129382858 134787056 185332202 258765716 311695067 370664404 517531432 623390134 741328808 1035062864 1246780268 1482657616 2493560536 3428645737 4987121072 6857291474 13714582948 27429165896 54858331792