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7949870016 = 2631111333311
BaseRepresentation
bin1110110011101100…
…10110001111000000
3202112001002020111020
413121312112033000
5112240131320031
63352505145440
7401001531414
oct73166261700
922461066436
107949870016
11340a549010
12165a48b280
139990407ca
14555b78d44
15317de7096
hex1d9d963c0

7949870016 has 112 divisors (see below), whose sum is σ = 23149974528. Its totient is φ = 2387660800.

The previous prime is 7949870003. The next prime is 7949870053. The reversal of 7949870016 is 6100789497.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222001 + ... + 255311.

Almost surely, 27949870016 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 7949870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574987264).

7949870016 is an abundant number, since it is smaller than the sum of its proper divisors (15200104512).

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

7949870016 is a wasteful number, since it uses less digits than its factorization.

7949870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33450 (or 33440 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 7949870016 is about 89162.0435835788. The cubic root of 7949870016 is about 1995.8137450818.

The spelling of 7949870016 in words is "seven billion, nine hundred forty-nine million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 132 176 192 226 264 339 352 452 528 678 704 904 1056 1243 1356 1808 2112 2486 2712 3616 3729 4972 5424 7232 7458 9944 10848 14916 19888 21696 29832 33311 39776 59664 66622 79552 99933 119328 133244 199866 238656 266488 366421 399732 532976 732842 799464 1065952 1099263 1465684 1598928 2131904 2198526 2931368 3197856 3764143 4397052 5862736 6395712 7528286 8794104 11292429 11725472 15056572 17588208 22584858 23450944 30113144 35176416 41405573 45169716 60226288 70352832 82811146 90339432 120452576 124216719 165622292 180678864 240905152 248433438 331244584 361357728 496866876 662489168 722715456 993733752 1324978336 1987467504 2649956672 3974935008 7949870016