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913352064 = 27317181773
BaseRepresentation
bin110110011100001…
…010010110000000
32100122122002111020
4312130022112000
53332304231224
6230344145440
731430236002
oct6634122600
92318562436
10913352064
11429621a19
12215a68280
131172bcc11
1489434372
15552b7c79
hex3670a580

913352064 has 128 divisors (see below), whose sum is σ = 2586336480. Its totient is φ = 284590080.

The previous prime is 913352051. The next prime is 913352137. The reversal of 913352064 is 460253319.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1181182 + ... + 1181954.

Almost surely, 2913352064 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 913352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293168240).

913352064 is an abundant number, since it is smaller than the sum of its proper divisors (1672984416).

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

913352064 is a wasteful number, since it uses less digits than its factorization.

913352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 913352064 is about 30221.7151068565. The cubic root of 913352064 is about 970.2405128611.

The spelling of 913352064 in words is "nine hundred thirteen million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 181 192 204 272 362 384 408 543 544 724 773 816 1086 1088 1448 1546 1632 2172 2176 2319 2896 3077 3092 3264 4344 4638 5792 6154 6184 6528 8688 9231 9276 11584 12308 12368 13141 17376 18462 18552 23168 24616 24736 26282 34752 36924 37104 39423 49232 49472 52564 69504 73848 74208 78846 98464 98944 105128 139913 147696 148416 157692 196928 210256 279826 295392 296832 315384 393856 419739 420512 559652 590784 630768 839478 841024 1119304 1181568 1261536 1678956 1682048 2238608 2378521 2523072 3357912 4477216 4757042 5046144 6715824 7135563 8954432 9514084 13431648 14271126 17908864 19028168 26863296 28542252 38056336 53726592 57084504 76112672 114169008 152225344 228338016 304450688 456676032 913352064