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7968187107 = 334124192
BaseRepresentation
bin1110110101111000…
…01110001011100011
3202120022112211211000
413122330032023203
5112304323441412
63354401523043
7401313321126
oct73274161343
922508484730
107968187107
113419919a01
121664643483
1399ca84c1a
145583863bd
153198144dc
hex1daf0e2e3

7968187107 has 36 divisors (see below), whose sum is σ = 12128610520. Its totient is φ = 5170191840.

The previous prime is 7968187099. The next prime is 7968187127. The reversal of 7968187107 is 7017818697.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 7968187107 - 23 = 7968187099 is a prime.

It is a super-2 number, since 2×79681871072 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7968187127) 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 35 ways as a sum of consecutive naturals, for example, 19016944 + ... + 19017362.

Almost surely, 27968187107 is an apocalyptic number.

7968187107 is a deficient number, since it is larger than the sum of its proper divisors (4160423413).

7968187107 is an frugal number, since it uses more digits than its factorization.

7968187107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The square root of 7968187107 is about 89264.7024696772. The cubic root of 7968187107 is about 1997.3454037015.

The spelling of 7968187107 in words is "seven billion, nine hundred sixty-eight million, one hundred eighty-seven thousand, one hundred seven".

Divisors: 1 3 9 27 41 123 369 419 1107 1257 1681 3771 5043 11313 15129 17179 45387 51537 154611 175561 463833 526683 704339 1580049 2113017 4740147 6339051 7198001 19017153 21594003 64782009 194346027 295118041 885354123 2656062369 7968187107