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4021418816 = 26172217421
BaseRepresentation
bin1110111110110001…
…1111101101000000
3101101021000020112122
43233230133231000
531213440400231
61503012543412
7201440332052
oct35754375500
911337006478
104021418816
111783a93528
12942921b68
134c11b087c
142a212b8d2
151880a677b
hexefb1fb40

4021418816 has 42 divisors (see below), whose sum is σ = 8477066358. Its totient is φ = 1892423680.

The previous prime is 4021418789. The next prime is 4021418851. The reversal of 4021418816 is 6188141204.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2584705600 + 1436713216 = 50840^2 + 37904^2 .

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 5 ways as a sum of consecutive naturals, for example, 90215 + ... + 127206.

Almost surely, 24021418816 is an apocalyptic number.

It is an amenable number.

4021418816 is an abundant number, since it is smaller than the sum of its proper divisors (4455647542).

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

4021418816 is a wasteful number, since it uses less digits than its factorization.

4021418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217467 (or 217440 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 4021418816 is about 63414.6577377817. The cubic root of 4021418816 is about 1590.2293639556.

The spelling of 4021418816 in words is "four billion, twenty-one million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 217421 434842 869684 1739368 3478736 3696157 6957472 7392314 13914944 14784628 29569256 59138512 62834669 118277024 125669338 236554048 251338676 502677352 1005354704 2010709408 4021418816