Search a number
-
+
1649164749380 = 2251722711052851
BaseRepresentation
bin10111111111111001111…
…000010000101001000100
312211122210010102112010222
4113333321320100221010
5204004442133440010
63301341004003512
7230101561035551
oct27777170205104
95748703375128
101649164749380
11586452564375
12227751b30598
13bc691920015
1459b6a117a28
152cd7298c355
hex17ff9e10a44

1649164749380 has 72 divisors (see below), whose sum is σ = 3692528843136. Its totient is φ = 618570432000.

The previous prime is 1649164749371. The next prime is 1649164749389. The reversal of 1649164749380 is 839474619461.

It is an interprime number because it is at equal distance from previous prime (1649164749371) and next prime (1649164749389).

It is not an unprimeable number, because it can be changed into a prime (1649164749389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039955 + ... + 2092805.

Almost surely, 21649164749380 is an apocalyptic number.

1649164749380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649164749380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846264421568).

1649164749380 is an abundant number, since it is smaller than the sum of its proper divisors (2043364093756).

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

1649164749380 is a wasteful number, since it uses less digits than its factorization.

1649164749380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053165 (or 1053146 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 1649164749380 in words is "one trillion, six hundred forty-nine billion, one hundred sixty-four million, seven hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 271 289 340 542 578 1084 1156 1355 1445 2710 2890 4607 5420 5780 9214 18428 23035 46070 78319 92140 156638 313276 391595 783190 1052851 1566380 2105702 4211404 5264255 10528510 17898467 21057020 35796934 71593868 89492335 178984670 285322621 304273939 357969340 570645242 608547878 1141290484 1217095756 1426613105 1521369695 2853226210 3042739390 4850484557 5706452420 6085478780 9700969114 19401938228 24252422785 48504845570 82458237469 97009691140 164916474938 329832949876 412291187345 824582374690 1649164749380