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969464064 = 28311311171
BaseRepresentation
bin111001110010001…
…101100100000000
32111120012212200110
4321302031210000
53441140322224
6240110551320
733011210562
oct7162154400
92446185613
10969464064
11458267778
12230808540
13125b0829a
1492a7d332
155a19d929
hex39c8d900

969464064 has 72 divisors (see below), whose sum is σ = 2603254752. Its totient is φ = 320266240.

The previous prime is 969464029. The next prime is 969464077. The reversal of 969464064 is 460464969.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81199 + ... + 92369.

It is an arithmetic number, because the mean of its divisors is an integer number (36156316).

Almost surely, 2969464064 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 969464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301627376).

969464064 is an abundant number, since it is smaller than the sum of its proper divisors (1633790688).

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

969464064 is a wasteful number, since it uses less digits than its factorization.

969464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 969464064 is about 31136.2178820742. The cubic root of 969464064 is about 989.7159556507.

The spelling of 969464064 in words is "nine hundred sixty-nine million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 768 904 1356 1808 2712 3616 5424 7232 10848 11171 14464 21696 22342 28928 33513 43392 44684 67026 86784 89368 134052 178736 268104 357472 536208 714944 1072416 1262323 1429888 2144832 2524646 2859776 3786969 4289664 5049292 7573938 8579328 10098584 15147876 20197168 30295752 40394336 60591504 80788672 121183008 161577344 242366016 323154688 484732032 969464064