Search a number
-
+
645220201536 = 2632334692
BaseRepresentation
bin10010110001110100001…
…11101111010001000000
32021200102111122022021100
421120322013233101000
541032402332422121
61212224324054400
764421105136201
oct11307207572100
92250374568240
10645220201536
112296aaa8a289
12a506ab34400
1348ac8379a01
142332bc735a8
1511bb4ca6026
hex963a1ef440

645220201536 has 63 divisors (see below), whose sum is σ = 1849462468581. Its totient is φ = 215066974464.

The previous prime is 645220201531. The next prime is 645220201547. The reversal of 645220201536 is 635102022546.

The square root of 645220201536 is 803256.

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

645220201536 is a `hidden beast` number, since 64 + 522 + 0 + 20 + 1 + 53 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208352079936 + 436868121600 = 456456^2 + 660960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 645220201536.

It is not an unprimeable number, because it can be changed into a prime (645220201531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19261410 + ... + 19294878.

Almost surely, 2645220201536 is an apocalyptic number.

645220201536 is the 803256-th square number.

It is an amenable number.

645220201536 is an abundant number, since it is smaller than the sum of its proper divisors (1204242267045).

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

645220201536 is an frugal number, since it uses more digits than its factorization.

645220201536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66956 (or 33474 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 645220201536 by its sum of digits (36), we get a square (23227927255296 = 48195362).

645220201536 divided by its sum of digits (36) gives a square (17922783376 = 1338762).

The spelling of 645220201536 in words is "six hundred forty-five billion, two hundred twenty million, two hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 33469 66938 100407 133876 200814 267752 301221 401628 535504 602442 803256 1071008 1204884 1606512 2142016 2409768 3213024 4819536 6426048 9639072 19278144 1120173961 2240347922 3360521883 4480695844 6721043766 8961391688 10081565649 13442087532 17922783376 20163131298 26884175064 35845566752 40326262596 53768350128 71691133504 80652525192 107536700256 161305050384 215073400512 322610100768 645220201536