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6752054064 = 243723899817
BaseRepresentation
bin1100100100111010…
…00010101100110000
3122102120011212220110
412102131002230300
5102312011212224
63033555541320
7326215340550
oct62235025460
918376155813
106752054064
1129553a4178
1213852ba840
13837b32482
14480a57160
15297b8d929
hex192742b30

6752054064 has 160 divisors (see below), whose sum is σ = 21037224960. Its totient is φ = 1824362496.

The previous prime is 6752054053. The next prime is 6752054077. The reversal of 6752054064 is 4604502576.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682884 + ... + 692700.

It is an arithmetic number, because the mean of its divisors is an integer number (131482656).

Almost surely, 26752054064 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 6752054064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518612480).

6752054064 is an abundant number, since it is smaller than the sum of its proper divisors (14285170896).

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

6752054064 is a wasteful number, since it uses less digits than its factorization.

6752054064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 6752054064 is about 82170.8833103308. The cubic root of 6752054064 is about 1890.0732560279.

The spelling of 6752054064 in words is "six billion, seven hundred fifty-two million, fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 89 92 112 138 161 168 178 184 267 276 322 336 356 368 483 534 552 623 644 712 966 1068 1104 1246 1288 1424 1869 1932 2047 2136 2492 2576 3738 3864 4094 4272 4984 6141 7476 7728 8188 9817 9968 12282 14329 14952 16376 19634 24564 28658 29451 29904 32752 39268 42987 49128 57316 58902 68719 78536 85974 98256 114632 117804 137438 157072 171948 206157 225791 229264 235608 274876 343896 412314 451582 471216 549752 677373 687792 824628 873713 903164 1099504 1354746 1580537 1649256 1747426 1806328 2621139 2709492 3161074 3298512 3494852 3612656 4741611 5242278 5418984 6115991 6322148 6989704 9483222 10484556 10837968 12231982 12644296 13979408 18347973 18966444 20095399 20969112 24463964 25288592 36695946 37932888 40190798 41938224 48927928 60286197 73391892 75865776 80381596 97855856 120572394 140667793 146783784 160763192 241144788 281335586 293567568 321526384 422003379 482289576 562671172 844006758 964579152 1125342344 1688013516 2250684688 3376027032 6752054064