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997637641 = 711133313011
BaseRepresentation
bin111011011101101…
…011111000001001
32120112020020120021
4323131223320021
54020343401031
6242554500441
733502531360
oct7335537011
92515206507
10997637641
1147215aa20
1223a134721
1312b8c0b40
14966d47d7
155c8b6511
hex3b76be09

997637641 has 32 divisors (see below), whose sum is σ = 1343978496. Its totient is φ = 715176000.

The previous prime is 997637609. The next prime is 997637677. The reversal of 997637641 is 146736799.

It is not a de Polignac number, because 997637641 - 25 = 997637609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (997637041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329826 + ... + 332836.

It is an arithmetic number, because the mean of its divisors is an integer number (41999328).

Almost surely, 2997637641 is an apocalyptic number.

997637641 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

997637641 is a deficient number, since it is larger than the sum of its proper divisors (346340855).

997637641 is a wasteful number, since it uses less digits than its factorization.

997637641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373.

The product of its digits is 1714608, while the sum is 52.

The square root of 997637641 is about 31585.4023403217. The cubic root of 997637641 is about 999.2119261027.

The spelling of 997637641 in words is "nine hundred ninety-seven million, six hundred thirty-seven thousand, six hundred forty-one".

Divisors: 1 7 11 13 77 91 143 331 1001 2317 3011 3641 4303 21077 25487 30121 33121 39143 47333 231847 274001 331331 430573 996641 3014011 6976487 10963051 12956333 76741357 90694331 142519663 997637641