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87404490900 = 22325297116101
BaseRepresentation
bin101000101100110110…
…1101011000010010100
322100121100222011222200
41101121231223002110
52413001022202100
6104053021324500
76212651625426
oct1213155530224
9270540864880
1087404490900
1134082613751
1214b33706730
13831c19248c
144332308816
152418586e00
hex1459b6b094

87404490900 has 54 divisors (see below), whose sum is σ = 273964523742. Its totient is φ = 23307864000.

The previous prime is 87404490881. The next prime is 87404490991. The reversal of 87404490900 is 909440478.

87404490900 is a `hidden beast` number, since 8 + 74 + 0 + 4 + 490 + 90 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7873722756 + 79530768144 = 88734^2 + 282012^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48557151 + ... + 48558950.

Almost surely, 287404490900 is an apocalyptic number.

It is an amenable number.

87404490900 is an abundant number, since it is smaller than the sum of its proper divisors (186560032842).

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

87404490900 is a wasteful number, since it uses less digits than its factorization.

87404490900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97116121 (or 97116111 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87404490900 in words is "eighty-seven billion, four hundred four million, four hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 97116101 194232202 291348303 388464404 485580505 582696606 874044909 971161010 1165393212 1456741515 1748089818 1942322020 2427902525 2913483030 3496179636 4370224545 4855805050 5826966060 7283707575 8740449090 9711610100 14567415150 17480898180 21851122725 29134830300 43702245450 87404490900