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8197931406 = 2371969114867
BaseRepresentation
bin1111010001010001…
…01000000110001110
3210011022212001202010
413220220220012032
5113242132301111
63433250042050
7410103160440
oct75050500616
923138761663
108197931406
113527578225
121709579326
13a085549b2
1457aaac490
1532ea96aa6
hex1e8a2818e

8197931406 has 64 divisors (see below), whose sum is σ = 19754219520. Its totient is φ = 2215628640.

The previous prime is 8197931393. The next prime is 8197931447. The reversal of 8197931406 is 6041397918.

It is a happy number.

It is a super-2 number, since 2×81979314062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543985 + ... + 558851.

It is an arithmetic number, because the mean of its divisors is an integer number (308659680).

Almost surely, 28197931406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8197931406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877109760).

8197931406 is an abundant number, since it is smaller than the sum of its proper divisors (11556288114).

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

8197931406 is a wasteful number, since it uses less digits than its factorization.

8197931406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15589.

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 8197931406 is about 90542.4287613271. The cubic root of 8197931406 is about 2016.3600926163.

The spelling of 8197931406 in words is "eight billion, one hundred ninety-seven million, nine hundred thirty-one thousand, four hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 691 798 1382 2073 4146 4837 9674 13129 14511 14867 26258 29022 29734 39387 44601 78774 89202 91903 104069 183806 208138 275709 282473 312207 551418 564946 624414 847419 1694838 1977311 3954622 5931933 10273097 11863866 20546194 30819291 61638582 71911679 143823358 195188843 215735037 390377686 431470074 585566529 1171133058 1366321901 2732643802 4098965703 8197931406