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8435871409 = 72131212
BaseRepresentation
bin1111101101101000…
…10010111010110001
3210202220120200001211
413312310102322301
5114234040341114
63513030000121
7416022503200
oct76664227261
923686520054
108435871409
113639914059
1217751a6041
13a45933cb4
145a0529237
153458e76c4
hex1f6d12eb1

8435871409 has 9 divisors (see below), whose sum is σ = 9813904491. Its totient is φ = 7230195840.

The previous prime is 8435871397. The next prime is 8435871413. The reversal of 8435871409 is 9041785348.

The square root of 8435871409 is 91847.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1190457009 + 7245414400 = 34503^2 + 85120^2 .

It is not a de Polignac number, because 8435871409 - 221 = 8433774257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8435871419) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 636369 + ... + 649489.

Almost surely, 28435871409 is an apocalyptic number.

8435871409 is the 91847-th square number.

8435871409 is the 45924-th centered octagonal number.

It is an amenable number.

8435871409 is a deficient number, since it is larger than the sum of its proper divisors (1378033082).

8435871409 is an frugal number, since it uses more digits than its factorization.

8435871409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26256 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The cubic root of 8435871409 is about 2035.6822210223.

Multiplying 8435871409 by its sum of digits (49), we get a square (413357699041 = 6429292).

8435871409 divided by its sum of digits (49) gives a square (172160641 = 131212).

It can be divided in two parts, 8435 and 871409, that added together give a square (879844 = 9382).

The spelling of 8435871409 in words is "eight billion, four hundred thirty-five million, eight hundred seventy-one thousand, four hundred nine".

Divisors: 1 7 49 13121 91847 642929 172160641 1205124487 8435871409