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6164159940 = 223453805037
BaseRepresentation
bin1011011110110100…
…11001110111000100
3120220120221202210000
411233122121313010
5100111011104230
62455355201300
7305516331531
oct55732316704
916816852700
106164159940
112683564664
121240446230
137730b4b23
14426941d88
15261262b60
hex16f699dc4

6164159940 has 60 divisors (see below), whose sum is σ = 19337203116. Its totient is φ = 1643775552.

The previous prime is 6164159923. The next prime is 6164159993. The reversal of 6164159940 is 499514616.

It is a happy number.

6164159940 is a `hidden beast` number, since 6 + 16 + 4 + 1 + 599 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 749554884 + 5414605056 = 27378^2 + 73584^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 1900899 + ... + 1904138.

Almost surely, 26164159940 is an apocalyptic number.

6164159940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6164159940 is an abundant number, since it is smaller than the sum of its proper divisors (13173043176).

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

6164159940 is a wasteful number, since it uses less digits than its factorization.

6164159940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805058 (or 3805047 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6164159940 is about 78512.1642804477. The cubic root of 6164159940 is about 1833.5438449915.

The spelling of 6164159940 in words is "six billion, one hundred sixty-four million, one hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3805037 7610074 11415111 15220148 19025185 22830222 34245333 38050370 45660444 57075555 68490666 76100740 102735999 114151110 136981332 171226665 205471998 228302220 308207997 342453330 410943996 513679995 616415994 684906660 1027359990 1232831988 1541039985 2054719980 3082079970 6164159940