Search a number
-
+
616706167252 = 22731307343913
BaseRepresentation
bin10001111100101101000…
…11010101000111010100
32011221211022110021122111
420332112203111013110
540101003234323002
61151151053240404
762361360634000
oct10762643250724
92157738407574
10616706167252
112185a861029a
129b631793104
1346202b01c86
1421bc4d17700
15110968533d7
hex8f968d51d4

616706167252 has 48 divisors (see below), whose sum is σ = 1259550633600. Its totient is φ = 264099654336.

The previous prime is 616706167241. The next prime is 616706167279. The reversal of 616706167252 is 252761607616.

616706167252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 616706167196 and 616706167205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621248 + ... + 1965160.

It is an arithmetic number, because the mean of its divisors is an integer number (26240638200).

Almost surely, 2616706167252 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 616706167252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629775316800).

616706167252 is an abundant number, since it is smaller than the sum of its proper divisors (642844466348).

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

616706167252 is a wasteful number, since it uses less digits than its factorization.

616706167252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345245 (or 345229 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 616706167252 in words is "six hundred sixteen billion, seven hundred six million, one hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1307 1372 2614 5228 9149 18298 36596 64043 128086 256172 343913 448301 687826 896602 1375652 1793204 2407391 4814782 9629564 16851737 33703474 67406948 117962159 235924318 449494291 471848636 898988582 1797977164 3146460037 6292920074 12585840148 22025220259 44050440518 88100881036 154176541813 308353083626 616706167252