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53219185367040 = 211365711219443
BaseRepresentation
bin11000001100111000011101…
…01000111001100000000000
320222102201000112100212000000
430012130032220321200000
523433420342423221130
6305104320052000000
714131650011516010
oct1406341650714000
9228381015325000
1053219185367040
1115a5914779a200
125b76299600000
132390717242524
14d1db7260dc40
15624546ccb260
hex30670ea39800

53219185367040 has 4032 divisors, whose sum is σ = 253734728083200. Its totient is φ = 10452855029760.

The previous prime is 53219185367009. The next prime is 53219185367123. The reversal of 53219185367040 is 4076358191235.

It is a happy number.

53219185367040 is a `hidden beast` number, since 5 + 3 + 21 + 9 + 18 + 536 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×532191853670402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 120133601059 + ... + 120133601501.

It is an arithmetic number, because the mean of its divisors is an integer number (62930240100).

It is a 1-persistent number, because it is pandigital, but 2⋅53219185367040 = 106438370734080 is not.

Almost surely, 253219185367040 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 53219185367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126867364041600).

53219185367040 is an abundant number, since it is smaller than the sum of its proper divisors (200515542716160).

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

53219185367040 is a wasteful number, since it uses less digits than its factorization.

53219185367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53219185367040 in words is "fifty-three trillion, two hundred nineteen billion, one hundred eighty-five million, three hundred sixty-seven thousand, forty".