Search a number
-
+
1098913816 = 2371113413347
BaseRepresentation
bin100000110000000…
…0001100000011000
32211120210121100201
41001200001200120
54222310220231
6301013311544
736142420240
oct10140014030
92746717321
101098913816
11514343240
122680355b4
13146890480
14a5d38b20
156671e161
hex41801818

1098913816 has 128 divisors (see below), whose sum is σ = 2834818560. Its totient is φ = 385459200.

The previous prime is 1098913771. The next prime is 1098913817. The reversal of 1098913816 is 6183198901.

It is a happy number.

It is a super-2 number, since 2×10989138162 = 2415223149991363712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098913817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326655 + ... + 330001.

It is an arithmetic number, because the mean of its divisors is an integer number (22147020).

Almost surely, 21098913816 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 1098913816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1098913816 is an abundant number, since it is smaller than the sum of its proper divisors (1735904744).

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

1098913816 is a wasteful number, since it uses less digits than its factorization.

1098913816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The square root of 1098913816 is about 33149.8690193491. The cubic root of 1098913816 is about 1031.9402320012.

The spelling of 1098913816 in words is "one billion, ninety-eight million, nine hundred thirteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 41 44 52 56 77 82 88 91 104 143 154 164 182 286 287 308 328 364 451 533 572 574 616 728 902 1001 1066 1144 1148 1804 2002 2132 2296 3157 3347 3608 3731 4004 4264 5863 6314 6694 7462 8008 11726 12628 13388 14924 23429 23452 25256 26776 29848 36817 41041 43511 46858 46904 73634 82082 87022 93716 137227 147268 164164 174044 187432 257719 274454 294536 304577 328328 348088 478621 515438 548908 609154 957242 960589 1030876 1097816 1218308 1509497 1783951 1914484 1921178 2061752 2436616 3018994 3350347 3567902 3828968 3842356 6037988 6700694 7135804 7684712 10566479 12075976 12487657 13401388 14271608 19623461 21132958 24975314 26802776 39246922 42265916 49950628 78493844 84531832 99901256 137364227 156987688 274728454 549456908 1098913816