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9995106312 = 23321674911693
BaseRepresentation
bin10010100111100000…
…10011100000001000
3221210120120000020200
421103300103200020
5130432221400222
64331445452200
7502455000432
oct112360234010
927716500220
109995106312
114269a82344
121b2b411060
13c33995bb9
146ab64b652
153d7742eac
hex253c13808

9995106312 has 96 divisors (see below), whose sum is σ = 27303756480. Its totient is φ = 3303054720.

The previous prime is 9995106299. The next prime is 9995106347. The reversal of 9995106312 is 2136015999.

It is a happy number.

9995106312 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 1 + 0 + 631 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5902938 + ... + 5904630.

It is an arithmetic number, because the mean of its divisors is an integer number (284414130).

Almost surely, 29995106312 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 9995106312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651878240).

9995106312 is an abundant number, since it is smaller than the sum of its proper divisors (17308650168).

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

9995106312 is a wasteful number, since it uses less digits than its factorization.

9995106312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 9995106312 is about 99975.5285657445. The cubic root of 9995106312 is about 2154.0831949824.

The spelling of 9995106312 in words is "nine billion, nine hundred ninety-five million, one hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 491 501 668 982 1002 1336 1473 1503 1693 1964 2004 2946 3006 3386 3928 4008 4419 5079 5892 6012 6772 8838 10158 11784 12024 13544 15237 17676 20316 30474 35352 40632 60948 81997 121896 163994 245991 282731 327988 491982 565462 655976 737973 831263 848193 983964 1130924 1475946 1662526 1696386 1967928 2261848 2493789 2544579 2951892 3325052 3392772 4987578 5089158 5903784 6650104 6785544 7481367 9975156 10178316 14962734 19950312 20356632 29925468 59850936 138820921 277641842 416462763 555283684 832925526 1110567368 1249388289 1665851052 2498776578 3331702104 4997553156 9995106312