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64706688 = 2734792
BaseRepresentation
bin1111011011010…
…1100010000000
311111202102220000
43312311202000
5113031103223
610230520000
71413666144
oct366654200
9144672800
1064706688
1133586102
1219806000
13105373a7
148845224
155a32543
hex3db5880

64706688 has 120 divisors (see below), whose sum is σ = 195034455. Its totient is φ = 21295872.

The previous prime is 64706687. The next prime is 64706699. The reversal of 64706688 is 88660746.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 32353344 = 5688^2 + 5688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5688.

It is not an unprimeable number, because it can be changed into a prime (64706687) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 819033 + ... + 819111.

Almost surely, 264706688 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 64706688

64706688 is an abundant number, since it is smaller than the sum of its proper divisors (130327767).

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

64706688 is an frugal number, since it uses more digits than its factorization.

64706688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 64706688 is about 8044.0467427782. The cubic root of 64706688 is about 401.4668807432.

The spelling of 64706688 in words is "sixty-four million, seven hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 474 576 632 648 711 864 948 1152 1264 1296 1422 1728 1896 2133 2528 2592 2844 3456 3792 4266 5056 5184 5688 6241 6399 7584 8532 10112 10368 11376 12482 12798 15168 17064 18723 22752 24964 25596 30336 34128 37446 45504 49928 51192 56169 68256 74892 91008 99856 102384 112338 136512 149784 168507 199712 204768 224676 273024 299568 337014 399424 409536 449352 505521 599136 674028 798848 819072 898704 1011042 1198272 1348056 1797408 2022084 2396544 2696112 3594816 4044168 5392224 7189632 8088336 10784448 16176672 21568896 32353344 64706688