Search a number
-
+
70713411370014 = 23722632402338069
BaseRepresentation
bin10000000101000000111111…
…110000111111110000011110
3100021101010200012222100120110
4100011000333300333300132
533232032031302320024
6410221143121030450
720615606153152500
oct2005007760776036
9307333605870513
1070713411370014
1120593431250596
127b20896485426
13305c32783823a
141366793db9d70
158296411ac629
hex40503fc3fc1e

70713411370014 has 96 divisors (see below), whose sum is σ = 165153668359680. Its totient is φ = 20125644667968.

The previous prime is 70713411370013. The next prime is 70713411370079. The reversal of 70713411370014 is 41007311431707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70713411370013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857487372 + ... + 1857525440.

It is an arithmetic number, because the mean of its divisors is an integer number (1720350712080).

Almost surely, 270713411370014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70713411370014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82576834179840).

70713411370014 is an abundant number, since it is smaller than the sum of its proper divisors (94440256989666).

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

70713411370014 is a wasteful number, since it uses less digits than its factorization.

70713411370014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62374 (or 62367 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 70713411370014 in words is "seventy trillion, seven hundred thirteen billion, four hundred eleven million, three hundred seventy thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 263 294 526 789 1578 1841 3682 5523 11046 12887 24023 25774 38069 38661 48046 72069 76138 77322 114207 144138 168161 228414 266483 336322 504483 532966 799449 1008966 1177127 1598898 1865381 2354254 3531381 3730762 5596143 6318049 7062762 10012147 11192286 12636098 18954147 20024294 30036441 37908294 44226343 60072882 70085029 88452686 132679029 140170058 210255087 265358058 309584401 420510174 490595203 619168802 914531587 928753203 981190406 1471785609 1829063174 1857506406 2743594761 2943571218 5487189522 6401721109 12803442218 19205163327 38410326654 44812047763 89624095526 134436143289 240521807381 268872286578 481043614762 721565422143 1443130844286 1683652651667 3367305303334 5050957955001 10101915910002 11785568561669 23571137123338 35356705685007 70713411370014