Search a number
-
+
7672402011316 = 22721131641721101
BaseRepresentation
bin110111110100101111011…
…0010111110010010110100
31000011110210212222021211011
41233221132302332102310
52001201034403330231
624152353002122004
71421212163026300
oct157513662762264
930143725867734
107672402011316
112498935a09629
12a3ab67ab0304
13438673241743
141c74bc116d00
15d489b99e9b1
hex6fa5ecbe4b4

7672402011316 has 72 divisors (see below), whose sum is σ = 15758744601096. Its totient is φ = 3258720460800.

The previous prime is 7672402011283. The next prime is 7672402011317. The reversal of 7672402011316 is 6131102042767.

It can be written as a sum of positive squares in 4 ways, for example, as 319681683216 + 7352720328100 = 565404^2 + 2711590^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7672402011317) 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, 363593166 + ... + 363614266.

It is an arithmetic number, because the mean of its divisors is an integer number (218871452793).

Almost surely, 27672402011316 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 7672402011316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879372300548).

7672402011316 is an abundant number, since it is smaller than the sum of its proper divisors (8086342589780).

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

7672402011316 is a wasteful number, since it uses less digits than its factorization.

7672402011316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37649 (or 37640 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 7672402011316 in words is "seven trillion, six hundred seventy-two billion, four hundred two million, eleven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 113 196 226 452 791 1582 3164 5537 11074 16417 21101 22148 32834 42202 65668 84404 114919 147707 229838 295414 459676 590828 804433 1033949 1608866 1855121 2067898 2384413 3217732 3710242 4135796 4768826 7420484 9537652 12985847 16690891 25971694 33381782 51943388 66763564 90900929 116836237 181801858 233672474 346415117 363603716 467344948 692830234 1385660468 2424905819 4849811638 9699623276 16974340733 33948681466 39144908221 67897362932 78289816442 156579632884 274014357547 548028715094 1096057430188 1918100502829 3836201005658 7672402011316