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716633064 = 233274730253
BaseRepresentation
bin101010101101101…
…111001111101000
31211221110201202100
4222231233033220
52431424224224
6155035533400
723521165140
oct5255571750
91757421670
10716633064
11338580034
1217bbba260
13b5614144
146b267920
1542daaac9
hex2ab6f3e8

716633064 has 96 divisors (see below), whose sum is σ = 2265419520. Its totient is φ = 200389248.

The previous prime is 716633059. The next prime is 716633069. The reversal of 716633064 is 460336617.

It is a happy number.

716633064 is a `hidden beast` number, since 7 + 16 + 633 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (716633059) and next prime (716633069).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (716633069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8562 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (23598120).

Almost surely, 2716633064 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 716633064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132709760).

716633064 is an abundant number, since it is smaller than the sum of its proper divisors (1548786456).

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

716633064 is a wasteful number, since it uses less digits than its factorization.

716633064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30319 (or 30312 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 716633064 is about 26770.0030631302. The cubic root of 716633064 is about 894.8816730265.

The spelling of 716633064 in words is "seven hundred sixteen million, six hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 11844 23688 30253 60506 90759 121012 181518 211771 242024 272277 363036 423542 544554 635313 726072 847084 1089108 1270626 1421891 1694168 1905939 2178216 2541252 2843782 3811878 4265673 5082504 5687564 7623756 8531346 9953237 11375128 12797019 15247512 17062692 19906474 25594038 29859711 34125384 39812948 51188076 59719422 79625896 89579133 102376152 119438844 179158266 238877688 358316532 716633064