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55951356384 = 25327311231151
BaseRepresentation
bin110100000110111101…
…011111000111100000
312100102100100101210200
4310012331133013200
51404042021401014
641411555425200
74020345453000
oct640675370740
9170370311720
1055951356384
112180209a200
12aa15bb5200
135378a36891
1429cacba000
1516c70bea09
hexd06f5f1e0

55951356384 has 864 divisors, whose sum is σ = 211928371200. Its totient is φ = 13970880000.

The previous prime is 55951356371. The next prime is 55951356397. The reversal of 55951356384 is 48365315955.

55951356384 is a `hidden beast` number, since 5 + 595 + 13 + 5 + 6 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55951356371) and next prime (55951356397).

It is a self number, because there is not a number n which added to its sum of digits gives 55951356384.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 370538709 + ... + 370538859.

Almost surely, 255951356384 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 55951356384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105964185600).

55951356384 is an abundant number, since it is smaller than the sum of its proper divisors (155977014816).

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

55951356384 is a wasteful number, since it uses less digits than its factorization.

55951356384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 55951356384 in words is "fifty-five billion, nine hundred fifty-one million, three hundred fifty-six thousand, three hundred eighty-four".