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7992150000 = 2435553281
BaseRepresentation
bin1110111000101111…
…01000011111110000
3202121222122021201120
413130113220133300
5112331442300000
63401015302240
7402024103602
oct73427503760
922558567646
107992150000
1134313a664a
12167067a980
139a4a25053
1455b623172
1531b9996a0
hex1dc5e87f0

7992150000 has 120 divisors (see below), whose sum is σ = 25806817008. Its totient is φ = 2131200000.

The previous prime is 7992149953. The next prime is 7992150013. The reversal of 7992150000 is 512997.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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, 123360 + ... + 176640.

Almost surely, 27992150000 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 7992150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903408504).

7992150000 is an abundant number, since it is smaller than the sum of its proper divisors (17814667008).

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

7992150000 is an equidigital number, since it uses as much as digits as its factorization.

7992150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53317 (or 53291 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 7992150000 is about 89398.8254956406. The cubic root of 7992150000 is about 1999.3456192496.

Adding to 7992150000 its reverse (512997), we get a palindrome (7992662997).

It can be divided in two parts, 79921 and 50000, that added together give a palindrome (129921).

The spelling of 7992150000 in words is "seven billion, nine hundred ninety-two million, one hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 53281 75000 106562 150000 159843 213124 266405 319686 426248 532810 639372 799215 852496 1065620 1278744 1332025 1598430 2131240 2557488 2664050 3196860 3996075 4262480 5328100 6393720 6660125 7992150 10656200 12787440 13320250 15984300 19980375 21312400 26640500 31968600 33300625 39960750 53281000 63937200 66601250 79921500 99901875 106562000 133202500 159843000 166503125 199803750 266405000 319686000 333006250 399607500 499509375 532810000 666012500 799215000 999018750 1332025000 1598430000 1998037500 2664050000 3996075000 7992150000