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54950420016 = 243217101322159
BaseRepresentation
bin110011001011010011…
…001101111000110000
312020211120220120020100
4303023103031320300
51400014301420031
641124402112400
73653502602112
oct631323157060
9166746816210
1054950420016
1121339096968
12a79694b700
13524955c43b
142933da73b2
1516692a5de6
hexccb4cde30

54950420016 has 120 divisors (see below), whose sum is σ = 162999120960. Its totient is φ = 17221552128.

The previous prime is 54950419987. The next prime is 54950420029. The reversal of 54950420016 is 61002405945.

54950420016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2468745 + ... + 2490903.

It is an arithmetic number, because the mean of its divisors is an integer number (1358326008).

Almost surely, 254950420016 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 54950420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81499560480).

54950420016 is an abundant number, since it is smaller than the sum of its proper divisors (108048700944).

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

54950420016 is a wasteful number, since it uses less digits than its factorization.

54950420016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23203 (or 23194 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 54950420016 in words is "fifty-four billion, nine hundred fifty million, four hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1013 1224 2026 2448 3039 4052 6078 8104 9117 12156 16208 17221 18234 22159 24312 34442 36468 44318 48624 51663 66477 68884 72936 88636 103326 132954 137768 145872 154989 177272 199431 206652 265908 275536 309978 354544 376703 398862 413304 531816 619956 753406 797724 826608 1063632 1130109 1239912 1506812 1595448 2260218 2479824 3013624 3190896 3390327 4520436 6027248 6780654 9040872 13561308 18081744 22447067 27122616 44894134 54245232 67341201 89788268 134682402 179576536 202023603 269364804 359153072 381600139 404047206 538729608 763200278 808094412 1077459216 1144800417 1526400556 1616188824 2289600834 3052801112 3232377648 3434401251 4579201668 6105602224 6868802502 9158403336 13737605004 18316806672 27475210008 54950420016