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20149421904 = 2432178230973
BaseRepresentation
bin10010110000111111…
…111100011101010000
31221000020200200120100
4102300333330131100
5312231223000104
613131224012400
71312215155163
oct226077743520
957006620510
1020149421904
1185aa9069a7
123aa4001100
131b91633671
14d9209dada
157cde34139
hex4b0ffc750

20149421904 has 60 divisors (see below), whose sum is σ = 59707485396. Its totient is φ = 6321386496.

The previous prime is 20149421899. The next prime is 20149421917. The reversal of 20149421904 is 40912494102.

20149421904 is a `hidden beast` number, since 2 + 0 + 149 + 421 + 90 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16706079504 + 3443342400 = 129252^2 + 58680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4113039 + ... + 4117934.

Almost surely, 220149421904 is an apocalyptic number.

20149421904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20149421904 is an abundant number, since it is smaller than the sum of its proper divisors (39558063492).

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

20149421904 is a wasteful number, since it uses less digits than its factorization.

20149421904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231004 (or 8230995 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20149421904 in words is "twenty billion, one hundred forty-nine million, four hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 8230973 16461946 24692919 32923892 49385838 65847784 74078757 98771676 131695568 139926541 148157514 197543352 279853082 296315028 395086704 419779623 559706164 592630056 839559246 1119412328 1185260112 1259338869 1679118492 2238824656 2518677738 3358236984 5037355476 6716473968 10074710952 20149421904