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54626607104 = 21317937253
BaseRepresentation
bin110010110111111111…
…111110000000000000
312020000000121011102112
4302313333332000000
51343333402411404
641032313434452
73642461333126
oct626777760000
9166000534375
1054626607104
1121192328493
12a70640ba28
1351c7444874
142902d95916
15164ab4156e
hexcb7ffe000

54626607104 has 56 divisors (see below), whose sum is σ = 109859810760. Its totient is φ = 27159986176.

The previous prime is 54626607071. The next prime is 54626607107. The reversal of 54626607104 is 40170662645.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54626607107) 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 3 ways as a sum of consecutive naturals, for example, 1447742 + ... + 1484994.

It is an arithmetic number, because the mean of its divisors is an integer number (1961782335).

Almost surely, 254626607104 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 54626607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54929905380).

54626607104 is an abundant number, since it is smaller than the sum of its proper divisors (55233203656).

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

54626607104 is an equidigital number, since it uses as much as digits as its factorization.

54626607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37458 (or 37434 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 54626607104 in words is "fifty-four billion, six hundred twenty-six million, six hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 512 716 1024 1432 2048 2864 4096 5728 8192 11456 22912 37253 45824 74506 91648 149012 183296 298024 366592 596048 733184 1192096 1466368 2384192 4768384 6668287 9536768 13336574 19073536 26673148 38147072 53346296 76294144 106692592 152588288 213385184 305176576 426770368 853540736 1707081472 3414162944 6828325888 13656651776 27313303552 54626607104