Search a number
-
+
6946040052 = 2232746159791
BaseRepresentation
bin1100111100000010…
…00010100011110100
3122221002012101122200
412132001002203310
5103211141240202
63105125424500
7334062236430
oct63601024364
918832171580
106946040052
112a44949776
12141a26b130
13869092293
1449c7119c0
152a9c0ae1c
hex19e0428f4

6946040052 has 72 divisors (see below), whose sum is σ = 20110202112. Its totient is φ = 1980244800.

The previous prime is 6946040039. The next prime is 6946040069. The reversal of 6946040052 is 2500406496.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6946039989 and 6946040016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86277 + ... + 146067.

Almost surely, 26946040052 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 6946040052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055101056).

6946040052 is an abundant number, since it is smaller than the sum of its proper divisors (13164162060).

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

6946040052 is a wasteful number, since it uses less digits than its factorization.

6946040052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60269 (or 60264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6946040052 is about 83342.9064288017. The cubic root of 6946040052 is about 1908.0031809079.

The spelling of 6946040052 in words is "six billion, nine hundred forty-six million, forty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 461 922 1383 1844 2766 3227 4149 5532 6454 8298 9681 12908 16596 19362 29043 38724 58086 59791 116172 119582 179373 239164 358746 418537 538119 717492 837074 1076238 1255611 1674148 2152476 2511222 3766833 5022444 7533666 15067332 27563651 55127302 82690953 110254604 165381906 192945557 248072859 330763812 385891114 496145718 578836671 771782228 992291436 1157673342 1736510013 2315346684 3473020026 6946040052