Search a number
-
+
7121621872 = 242953733967
BaseRepresentation
bin1101010000111101…
…10101001101110000
3200101022120212122001
412220132311031300
5104041113344442
63134401023344
7341323533661
oct65036651560
920338525561
107121621872
113024a73a12
121469024b54
1389657a151
144b7b79368
152ba3402b7
hex1a87b5370

7121621872 has 80 divisors (see below), whose sum is σ = 14746199040. Its totient is φ = 3326109696.

The previous prime is 7121621867. The next prime is 7121621873. The reversal of 7121621872 is 2781261217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121621873) 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 15 ways as a sum of consecutive naturals, for example, 1793233 + ... + 1797199.

It is an arithmetic number, because the mean of its divisors is an integer number (184327488).

Almost surely, 27121621872 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 7121621872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373099520).

7121621872 is an abundant number, since it is smaller than the sum of its proper divisors (7624577168).

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

7121621872 is a wasteful number, since it uses less digits than its factorization.

7121621872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4124 counting only the distinct ones).

The product of its digits is 18816, while the sum is 37.

The square root of 7121621872 is about 84389.7024049736. The cubic root of 7121621872 is about 1923.9464069338.

The spelling of 7121621872 in words is "seven billion, one hundred twenty-one million, six hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 53 58 73 106 116 146 212 232 292 424 464 584 848 1168 1537 2117 3074 3869 3967 4234 6148 7738 7934 8468 12296 15476 15868 16936 24592 30952 31736 33872 61904 63472 112201 115043 210251 224402 230086 289591 420502 448804 460172 579182 841004 897608 920344 1158364 1682008 1795216 1840688 2316728 3364016 4633456 6097279 8398139 12194558 15348323 16796278 24389116 30696646 33592556 48778232 61393292 67185112 97556464 122786584 134370224 245573168 445101367 890202734 1780405468 3560810936 7121621872