Search a number
-
+
61010000560 = 2452333157609
BaseRepresentation
bin111000110100011110…
…101011101010110000
312211110220002011001101
4320310132223222300
51444422030004220
644005544014144
74256612306515
oct706436535260
9184426064041
1061010000560
1123968611473
12b9a8161354
1359a3a89262
142d4aa8530c
1518c125c30a
hexe347abab0

61010000560 has 40 divisors (see below), whose sum is σ = 148015571040. Its totient is φ = 23342956032.

The previous prime is 61010000551. The next prime is 61010000561. The reversal of 61010000560 is 6500001016.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (61010000561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16576965 + ... + 16580644.

It is an arithmetic number, because the mean of its divisors is an integer number (3700389276).

Almost surely, 261010000560 is an apocalyptic number.

It is an amenable number.

61010000560 is an abundant number, since it is smaller than the sum of its proper divisors (87005570480).

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

61010000560 is a wasteful number, since it uses less digits than its factorization.

61010000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33157645 (or 33157639 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 61010000560 its reverse (6500001016), we get a palindrome (67510001576).

The spelling of 61010000560 in words is "sixty-one billion, ten million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 33157609 66315218 132630436 165788045 265260872 331576090 530521744 663152180 762625007 1326304360 1525250014 2652608720 3050500028 3813125035 6101000056 7626250070 12202000112 15252500140 30505000280 61010000560