Search a number
-
+
3541065728 = 2131747541
BaseRepresentation
bin1101001100010000…
…0110000000000000
3100010210010202222112
43103010012000000
524223003100403
61343213154452
7153515363534
oct32304060000
910123122875
103541065728
111557926102
12829a8ba28
13445817285
1425840bbc4
1515ad1e9d8
hexd3106000

3541065728 has 112 divisors (see below), whose sum is σ = 7671962304. Its totient is φ = 1627914240.

The previous prime is 3541065713. The next prime is 3541065863. The reversal of 3541065728 is 8275601453.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6545138 + ... + 6545678.

Almost surely, 23541065728 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 3541065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835981152).

3541065728 is an abundant number, since it is smaller than the sum of its proper divisors (4130896576).

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

3541065728 is an equidigital number, since it uses as much as digits as its factorization.

3541065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 3541065728 is about 59506.8544623222. The cubic root of 3541065728 is about 1524.2094948790.

The spelling of 3541065728 in words is "three billion, five hundred forty-one million, sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 512 541 544 752 799 1024 1082 1088 1504 1598 2048 2164 2176 3008 3196 4096 4328 4352 6016 6392 8192 8656 8704 9197 12032 12784 17312 17408 18394 24064 25427 25568 34624 34816 36788 48128 50854 51136 69248 69632 73576 96256 101708 102272 138496 139264 147152 192512 203416 204544 276992 294304 385024 406832 409088 432259 553984 588608 813664 818176 864518 1107968 1177216 1627328 1636352 1729036 2215936 2354432 3254656 3272704 3458072 4431872 4708864 6509312 6545408 6916144 9417728 13018624 13832288 18835456 26037248 27664576 37670912 52074496 55329152 75341824 104148992 110658304 208297984 221316608 442633216 885266432 1770532864 3541065728