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5195167296 = 2631116315091
BaseRepresentation
bin1001101011010011…
…11111011001000000
3111102001121211202120
410311221333121000
541114430323141
62215302244240
7242512123224
oct46551773100
914361554676
105195167296
11222659a0a0
12100ba26680
1364a4132b7
14373d86784
15206158c66
hex135a7f640

5195167296 has 112 divisors (see below), whose sum is σ = 15088136448. Its totient is φ = 1564531200.

The previous prime is 5195167259. The next prime is 5195167301. The reversal of 5195167296 is 6927615915.

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, 336711 + ... + 351801.

It is an arithmetic number, because the mean of its divisors is an integer number (134715504).

Almost surely, 25195167296 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 5195167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544068224).

5195167296 is an abundant number, since it is smaller than the sum of its proper divisors (9892969152).

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

5195167296 is a wasteful number, since it uses less digits than its factorization.

5195167296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15270 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 51.

The square root of 5195167296 is about 72077.5089469663. The cubic root of 5195167296 is about 1731.9413421279.

The spelling of 5195167296 in words is "five billion, one hundred ninety-five million, one hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 163 176 192 264 326 352 489 528 652 704 978 1056 1304 1793 1956 2112 2608 3586 3912 5216 5379 7172 7824 10432 10758 14344 15091 15648 21516 28688 30182 31296 43032 45273 57376 60364 86064 90546 114752 120728 166001 172128 181092 241456 332002 344256 362184 482912 498003 664004 724368 965824 996006 1328008 1448736 1992012 2459833 2656016 2897472 3984024 4919666 5312032 7379499 7968048 9839332 10624064 14758998 15936096 19678664 27058163 29517996 31872192 39357328 54116326 59035992 78714656 81174489 108232652 118071984 157429312 162348978 216465304 236143968 324697956 432930608 472287936 649395912 865861216 1298791824 1731722432 2597583648 5195167296