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10666974420 = 22325269220301
BaseRepresentation
bin10011110111100110…
…10001110011010100
31000112101210110000200
421323303101303110
5133321221140140
64522250140500
7525223533534
oct117363216324
930471713020
1010666974420
114584257843
122098421730
13100cc356ab
147329814c4
1542670a030
hex27bcd1cd4

10666974420 has 72 divisors (see below), whose sum is σ = 32476920840. Its totient is φ = 2833939200.

The previous prime is 10666974389. The next prime is 10666974421. The reversal of 10666974420 is 2447966601.

It can be written as a sum of positive squares in 4 ways, for example, as 308213136 + 10358761284 = 17556^2 + 101778^2 .

It is a super-2 number, since 2×106669744202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10666974421) 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 23 ways as a sum of consecutive naturals, for example, 61731 + ... + 158570.

It is an arithmetic number, because the mean of its divisors is an integer number (451068345).

Almost surely, 210666974420 is an apocalyptic number.

10666974420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666974420 is an abundant number, since it is smaller than the sum of its proper divisors (21809946420).

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

10666974420 is a wasteful number, since it uses less digits than its factorization.

10666974420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220585 (or 220580 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10666974420 in words is "ten billion, six hundred sixty-six million, nine hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 220301 440602 660903 881204 1101505 1321806 1982709 2203010 2643612 3304515 3965418 4406020 6609030 7930836 9913545 13218060 19827090 39654180 59260969 118521938 177782907 237043876 296304845 355565814 533348721 592609690 711131628 888914535 1066697442 1185219380 1777829070 2133394884 2666743605 3555658140 5333487210 10666974420