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10604511440 = 245731815841
BaseRepresentation
bin10011110000001010…
…00000000011010000
31000101001020222220222
421320011000003100
5133204223331230
64512135252212
7523534600655
oct117005000320
930331228828
1010604511440
114551a74446
12207b51a068
131000005653
14728561c2c
15420ebc6e5
hex2781400d0

10604511440 has 40 divisors (see below), whose sum is σ = 24993249288. Its totient is φ = 4183695360.

The previous prime is 10604511433. The next prime is 10604511443. The reversal of 10604511440 is 4411540601.

It can be written as a sum of positive squares in 4 ways, for example, as 2858399296 + 7746112144 = 53464^2 + 88012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106045114402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10604511443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902081 + ... + 913760.

Almost surely, 210604511440 is an apocalyptic number.

10604511440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10604511440 is an abundant number, since it is smaller than the sum of its proper divisors (14388737848).

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

10604511440 is a wasteful number, since it uses less digits than its factorization.

10604511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815927 (or 1815921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 10604511440 in words is "ten billion, six hundred four million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 1815841 3631682 7263364 9079205 14526728 18158410 29053456 36316820 72633640 132556393 145267280 265112786 530225572 662781965 1060451144 1325563930 2120902288 2651127860 5302255720 10604511440