Search a number
-
+
98628060816 = 24326112019349
BaseRepresentation
bin101101111011010110…
…0001100011010010000
3100102120120002121111100
41123312230030122100
53103442240421231
6113150433344400
710061044453545
oct1336654143220
9312516077440
1098628060816
1138911a7296a
1217146408100
1393ba5073cc
144ab8b74bcc
152873a891e6
hex16f6b0c690

98628060816 has 120 divisors (see below), whose sum is σ = 280810158200. Its totient is φ = 32306688000.

The previous prime is 98628060809. The next prime is 98628060823. The reversal of 98628060816 is 61806082689.

It is a happy number.

98628060816 is a `hidden beast` number, since 9 + 8 + 6 + 28 + 0 + 608 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (98628060809) and next prime (98628060823).

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 98056659600 = 23904^2 + 313140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10544910 + ... + 10554258.

Almost surely, 298628060816 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 98628060816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140405079100).

98628060816 is an abundant number, since it is smaller than the sum of its proper divisors (182182097384).

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

98628060816 is a wasteful number, since it uses less digits than its factorization.

98628060816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 98628060816 in words is "ninety-eight billion, six hundred twenty-eight million, sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1201 1464 2196 2402 2928 3603 4392 4804 7206 8784 9349 9608 10809 14412 18698 19216 21618 28047 28824 37396 43236 56094 57648 73261 74792 84141 86472 112188 146522 149584 168282 172944 219783 224376 293044 336564 439566 448752 570289 586088 659349 673128 879132 1140578 1172176 1318698 1346256 1710867 1758264 2281156 2637396 3421734 3516528 4562312 5132601 5274792 6843468 9124624 10265202 10549584 11228149 13686936 20530404 22456298 27373872 33684447 41060808 44912596 67368894 82121616 89825192 101053341 134737788 179650384 202106682 269475576 404213364 538951152 684917089 808426728 1369834178 1616853456 2054751267 2739668356 4109502534 5479336712 6164253801 8219005068 10958673424 12328507602 16438010136 24657015204 32876020272 49314030408 98628060816