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55791498470400 = 210335272111723383
BaseRepresentation
bin11001010111101111110000…
…11100101010010000000000
321022112121121110021200101000
430223313320130222100000
524303041442102023100
6314354132141012000
714515542225240600
oct1453677034522000
9238477543250330
1055791498470400
1116860050450320
126310923b54000
132519167351404
14dac4741b8c00
1566b3e910b900
hex32bdf872a400

55791498470400 has 6336 divisors, whose sum is σ = 288012011765760. Its totient is φ = 10409449881600.

The previous prime is 55791498470399. The next prime is 55791498470401. The reversal of 55791498470400 is 407489419755.

55791498470400 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 149 + 84 + 7 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (55791498470399) and next prime (55791498470401).

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×557914984704002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55791498470401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 145669708609 + ... + 145669708991.

Almost surely, 255791498470400 is an apocalyptic number.

55791498470400 is a gapful number since it is divisible by the number (50) 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 55791498470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144006005882880).

55791498470400 is an abundant number, since it is smaller than the sum of its proper divisors (232220513295360).

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

55791498470400 is a wasteful number, since it uses less digits than its factorization.

55791498470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 55791498470400 in words is "fifty-five trillion, seven hundred ninety-one billion, four hundred ninety-eight million, four hundred seventy thousand, four hundred".