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55401327897408 = 26321729535876271
BaseRepresentation
bin11001001100011001000000…
…11110000010101101000000
321021011022111210111221100100
430212030200132002231000
524230143404420204113
6313455004011322400
714445420360135303
oct1446144036025500
9237138453457310
1055401327897408
111671a631319a19
126269194750400
1324bb42727a48c
14d9761d656b3a
156611b062ad73
hex326320782b40

55401327897408 has 672 divisors, whose sum is σ = 177548892917760. Its totient is φ = 16434168791040.

The previous prime is 55401327897407. The next prime is 55401327897413. The reversal of 55401327897408 is 80479872310455.

55401327897408 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 132 + 7 + 8 + 97 + 408 = 666.

It is a super-2 number, since 2×554013278974082 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55401327897401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8834525313 + ... + 8834531583.

It is an arithmetic number, because the mean of its divisors is an integer number (264209662080).

Almost surely, 255401327897408 is an apocalyptic number.

55401327897408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55401327897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88774446458880).

55401327897408 is an abundant number, since it is smaller than the sum of its proper divisors (122147565020352).

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

55401327897408 is a wasteful number, since it uses less digits than its factorization.

55401327897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 55401327897408 in words is "fifty-five trillion, four hundred one billion, three hundred twenty-seven million, eight hundred ninety-seven thousand, four hundred eight".