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9991893402 = 23331431271093
BaseRepresentation
bin10010100111001000…
…00011000110011010
3221210100111202222000
421103210003012122
5130430411042102
64331252541430
7502415456361
oct112344030632
927710452860
109991893402
114268188447
121b2a321876
13c3310c67a
146ab0527d8
153d730b01c
hex25390319a

9991893402 has 128 divisors (see below), whose sum is σ = 23659806720. Its totient is φ = 3120586560.

The previous prime is 9991893347. The next prime is 9991893407. The reversal of 9991893402 is 2043981999.

It is a super-2 number, since 2×99918934022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9991893407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9141168 + ... + 9142260.

It is an arithmetic number, because the mean of its divisors is an integer number (184842240).

Almost surely, 29991893402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991893402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829903360).

9991893402 is an abundant number, since it is smaller than the sum of its proper divisors (13667913318).

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

9991893402 is a wasteful number, since it uses less digits than its factorization.

9991893402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 9991893402 is about 99959.4587920523. The cubic root of 9991893402 is about 2153.8523614484.

The spelling of 9991893402 in words is "nine billion, nine hundred ninety-one million, eight hundred ninety-three thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 86 93 127 129 186 254 258 279 381 387 558 762 774 837 1093 1143 1161 1333 1674 2186 2286 2322 2666 3279 3429 3937 3999 5461 6558 6858 7874 7998 9837 10922 11811 11997 16383 19674 23622 23994 29511 32766 33883 35433 35991 46999 49149 59022 67766 70866 71982 93998 98298 101649 106299 138811 140997 147447 169291 203298 212598 277622 281994 294894 304947 338582 416433 422991 507873 609894 832866 845982 914841 1015746 1249299 1268973 1456969 1523619 1829682 2498598 2537946 2913938 3047238 3747897 4303141 4370907 4570857 5968873 7495794 8606282 8741814 9141714 11937746 12909423 13112721 17906619 25818846 26225442 35813238 38728269 39338163 53719857 77456538 78676326 107439714 116184807 161159571 185035063 232369614 322319142 370070126 555105189 1110210378 1665315567 3330631134 4995946701 9991893402