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7034892192 = 2532431075309
BaseRepresentation
bin1101000110100111…
…11110111110100000
3200011021101112212200
412203103332332200
5103401413022232
63122022053200
7336221411526
oct64323767640
920137345780
107034892192
112a90016699
121443b7a200
13881601903
144aa440316
152b290c77c
hex1a34fefa0

7034892192 has 144 divisors (see below), whose sum is σ = 20665925280. Its totient is φ = 2268596736.

The previous prime is 7034892191. The next prime is 7034892223. The reversal of 7034892192 is 2912984307.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7034892191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322434 + ... + 1327742.

It is an arithmetic number, because the mean of its divisors is an integer number (143513370).

Almost surely, 27034892192 is an apocalyptic number.

7034892192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7034892192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332962640).

7034892192 is an abundant number, since it is smaller than the sum of its proper divisors (13631033088).

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

7034892192 is a wasteful number, since it uses less digits than its factorization.

7034892192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7034892192 is about 83874.2641815712. The cubic root of 7034892192 is about 1916.1043145307.

The spelling of 7034892192 in words is "seven billion, thirty-four million, eight hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 107 129 144 172 214 258 288 321 344 387 428 516 642 688 774 856 963 1032 1284 1376 1548 1712 1926 2064 2568 3096 3424 3852 4128 4601 5136 5309 6192 7704 9202 10272 10618 12384 13803 15408 15927 18404 21236 27606 30816 31854 36808 41409 42472 47781 55212 63708 73616 82818 84944 95562 110424 127416 147232 165636 169888 191124 220848 228287 254832 331272 382248 441696 456574 509664 568063 662544 684861 764496 913148 1136126 1325088 1369722 1528992 1704189 1826296 2054583 2272252 2739444 3408378 3652592 4109166 4544504 5112567 5478888 6816756 7305184 8218332 9089008 10225134 10957776 13633512 16436664 18178016 20450268 21915552 24426709 27267024 32873328 40900536 48853418 54534048 65746656 73280127 81801072 97706836 146560254 163602144 195413672 219840381 293120508 390827344 439680762 586241016 781654688 879361524 1172482032 1758723048 2344964064 3517446096 7034892192