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3541495680 = 27325614843
BaseRepresentation
bin1101001100010110…
…1110111110000000
3100010210221121202200
43103011232332000
524223110330210
61343230313200
7153522134202
oct32305567600
910123847680
103541495680
11155809a138
1282a058800
13445937b98
142584c0772
1515ada70c0
hexd316ef80

3541495680 has 96 divisors (see below), whose sum is σ = 12229247160. Its totient is φ = 944397312.

The previous prime is 3541495673. The next prime is 3541495681. The reversal of 3541495680 is 865941453.

3541495680 is a `hidden beast` number, since 3 + 5 + 41 + 49 + 568 + 0 = 666.

3541495680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (3541495681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301662 + ... + 313181.

Almost surely, 23541495680 is an apocalyptic number.

3541495680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3541495680 is an abundant number, since it is smaller than the sum of its proper divisors (8687751480).

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

3541495680 is a wasteful number, since it uses less digits than its factorization.

3541495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614868 (or 614853 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3541495680 is about 59510.4669785072. The cubic root of 3541495680 is about 1524.2711816187.

The spelling of 3541495680 in words is "three billion, five hundred forty-one million, four hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 614843 1229686 1844529 2459372 3074215 3689058 4918744 5533587 6148430 7378116 9222645 9837488 11067174 12296860 14756232 18445290 19674976 22134348 24593720 27667935 29512464 36890580 39349952 44268696 49187440 55335870 59024928 73781160 78699904 88537392 98374880 110671740 118049856 147562320 177074784 196749760 221343480 236099712 295124640 354149568 393499520 442686960 590249280 708299136 885373920 1180498560 1770747840 3541495680