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65636390416 = 2419233712
BaseRepresentation
bin111101001000001110…
…111101011000010000
320021102022110002211211
4331020032331120100
52033410403443131
650053011345504
74512350053552
oct751016753020
9207368402754
1065636390416
1125922038663
12108795b2294
1362603b624c
1432692914d2
151a924b45b1
hexf483bd610

65636390416 has 45 divisors (see below), whose sum is σ = 134255790543. Its totient is φ = 31081698720.

The previous prime is 65636390401. The next prime is 65636390419. The reversal of 65636390416 is 61409363656.

The square root of 65636390416 is 256196.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65636390416.

It is not an unprimeable number, because it can be changed into a prime (65636390419) 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 8 ways as a sum of consecutive naturals, for example, 19469211 + ... + 19472581.

Almost surely, 265636390416 is an apocalyptic number.

65636390416 is the 256196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65636390416

65636390416 is an abundant number, since it is smaller than the sum of its proper divisors (68619400127).

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

65636390416 is an frugal number, since it uses more digits than its factorization.

65636390416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

Multiplying 65636390416 by its sum of digits (49), we get a square (3216183130384 = 17933722).

The spelling of 65636390416 in words is "sixty-five billion, six hundred thirty-six million, three hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 3371 5776 6742 13484 26968 53936 64049 128098 256196 512392 1024784 1216931 2433862 4867724 9735448 11363641 19470896 22727282 45454564 90909128 181818256 215909179 431818358 863636716 1727273432 3454546864 4102274401 8204548802 16409097604 32818195208 65636390416