Search a number
-
+
6701141974728 = 233472261748299
BaseRepresentation
bin110000110000011101100…
…1011111101111011001000
3212201121211002212021110110
41201200323023331323020
51334242414321142403
622130243452514320
71261066354652115
oct141407313757310
925647732767413
106701141974728
112153a35a45613
12902886a7b9a0
13397bb8286016
141924a0a3b90c
15b94a3418103
hex6183b2fdec8

6701141974728 has 96 divisors (see below), whose sum is σ = 17123777748000. Its totient is φ = 2185307536128.

The previous prime is 6701141974721. The next prime is 6701141974741. The reversal of 6701141974728 is 8274791411076.

It is a happy number.

It is a super-2 number, since 2×67011419747282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6701141974721) 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 23 ways as a sum of consecutive naturals, for example, 138718723 + ... + 138767021.

It is an arithmetic number, because the mean of its divisors is an integer number (178372684875).

Almost surely, 26701141974728 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 6701141974728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561888874000).

6701141974728 is an abundant number, since it is smaller than the sum of its proper divisors (10422635773272).

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

6701141974728 is a wasteful number, since it uses less digits than its factorization.

6701141974728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51019 (or 50968 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 6701141974728 in words is "six trillion, seven hundred one billion, one hundred forty-one million, nine hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2209 2617 4418 5234 6627 7851 8836 10468 13254 15702 17672 20936 26508 31404 48299 53016 62808 96598 122999 144897 193196 245998 289794 368997 386392 491996 579588 737994 983992 1159176 1475988 2270053 2951976 4540106 5780953 6810159 9080212 11561906 13620318 17342859 18160424 23123812 27240636 34685718 46247624 54481272 69371436 106692491 126398483 138742872 213384982 252796966 320077473 379195449 426769964 505593932 640154946 758390898 853539928 1011187864 1280309892 1516781796 2560619784 3033563592 5940728701 11881457402 17822186103 23762914804 35644372206 47525829608 71288744412 142577488824 279214248947 558428497894 837642746841 1116856995788 1675285493682 2233713991576 3350570987364 6701141974728