Search a number
-
+
220604532641152 = 2711234759409781
BaseRepresentation
bin110010001010001101111110…
…110011011100110110000000
31001221002120212011220122110121
4302022031332303130312000
5212403341040324004102
62101104153452110024
764316102654113612
oct6212157663346600
91057076764818417
10220604532641152
1164322947589300
12208aa777765314
139612bc2294aaa
143c694600cadb2
151a7866bb7cb37
hexc8a37ecdcd80

220604532641152 has 96 divisors (see below), whose sum is σ = 483086016982800. Its totient is φ = 100271658009600.

The previous prime is 220604532641147. The next prime is 220604532641183. The reversal of 220604532641152 is 251146235406022.

220604532641152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220604532641099 and 220604532641108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538142502 + ... + 538552282.

Almost surely, 2220604532641152 is an apocalyptic number.

220604532641152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220604532641152 is an abundant number, since it is smaller than the sum of its proper divisors (262481484341648).

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

220604532641152 is a wasteful number, since it uses less digits than its factorization.

220604532641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444576 (or 444553 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 220604532641152 in words is "two hundred twenty trillion, six hundred four billion, five hundred thirty-two million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 34759 69518 139036 278072 382349 409781 556144 764698 819562 1112288 1529396 1639124 2224576 3058792 3278248 4205839 4449152 4507591 6117584 6556496 8411678 9015182 12235168 13112992 16823356 18030364 24470336 26225984 33646712 36060728 48940672 49583501 52451968 67293424 72121456 99167002 134586848 144242912 198334004 269173696 288485824 396668008 538347392 576971648 793336016 1586672032 3173344064 6346688128 14243577779 28487155558 56974311116 113948622232 156679355569 227897244464 313358711138 455794488928 626717422276 911588977856 1253434844552 1723472911259 1823177955712 2506869689104 3446945822518 5013739378208 6893891645036 10027478756416 13787783290072 20054957512832 27575566580144 55151133160288 110302266320576 220604532641152