Search a number
-
+
8216946804 = 22311173739817
BaseRepresentation
bin1111010011100010…
…01010100001110100
3210012122122010222010
413221301022201310
5113312014244204
63435205404220
7410423616063
oct75161124164
923178563863
108216946804
113537285830
121713a09670
13a0c481c01
1457d41c1da
153315a0d89
hex1e9c4a874

8216946804 has 96 divisors (see below), whose sum is σ = 22207844736. Its totient is φ = 2336993280.

The previous prime is 8216946767. The next prime is 8216946833. The reversal of 8216946804 is 4086496128.

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, 832104 + ... + 841920.

It is an arithmetic number, because the mean of its divisors is an integer number (231331716).

Almost surely, 28216946804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8216946804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103922368).

8216946804 is an abundant number, since it is smaller than the sum of its proper divisors (13990897932).

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

8216946804 is a wasteful number, since it uses less digits than its factorization.

8216946804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 8216946804 is about 90647.3761561801. The cubic root of 8216946804 is about 2017.9178954646.

The spelling of 8216946804 in words is "eight billion, two hundred sixteen million, nine hundred forty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 373 374 561 746 748 1119 1122 1492 2238 2244 4103 4476 6341 8206 9817 12309 12682 16412 19023 19634 24618 25364 29451 38046 39268 49236 58902 69751 76092 107987 117804 139502 166889 209253 215974 279004 323961 333778 418506 431948 500667 647922 667556 837012 1001334 1295844 1835779 2002668 3661741 3671558 5507337 7323482 7343116 10985223 11014674 14646964 21970446 22029348 40279151 43940892 62249597 80558302 120837453 124499194 161116604 186748791 241674906 248998388 373497582 483349812 684745567 746995164 1369491134 2054236701 2738982268 4108473402 8216946804