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9883399932 = 22327534331709
BaseRepresentation
bin10010011010001100…
…01011011011111100
3221111210100201220100
421031012023123330
5130220122244212
64312415321100
7466630341030
oct111506133374
927453321810
109883399932
114211a1571a
121ab9b20190
13c167b3c53
1469a8901c0
153cca29bdc
hex24d18b6fc

9883399932 has 144 divisors (see below), whose sum is σ = 29175007680. Its totient is φ = 2762532864.

The previous prime is 9883399919. The next prime is 9883399961. The reversal of 9883399932 is 2399933889.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9883399932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5782294 + ... + 5784002.

It is an arithmetic number, because the mean of its divisors is an integer number (202604220).

Almost surely, 29883399932 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 9883399932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587503840).

9883399932 is an abundant number, since it is smaller than the sum of its proper divisors (19291607748).

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

9883399932 is a wasteful number, since it uses less digits than its factorization.

9883399932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2207 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The square root of 9883399932 is about 99415.2902324386. The cubic root of 9883399932 is about 2146.0283578675.

It can be divided in two parts, 98833 and 99932, that added together give a triangular number (198765 = T630).

The spelling of 9883399932 in words is "nine billion, eight hundred eighty-three million, three hundred ninety-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 433 477 636 742 866 954 1113 1299 1484 1709 1732 1908 2226 2598 3031 3339 3418 3897 4452 5127 5196 6062 6678 6836 7794 9093 10254 11963 12124 13356 15381 15588 18186 20508 22949 23926 27279 30762 35889 36372 45898 47852 54558 61524 68847 71778 90577 91796 107667 109116 137694 143556 160643 181154 206541 215334 271731 275388 321286 362308 413082 430668 481929 543462 634039 642572 739997 815193 826164 963858 1086924 1268078 1445787 1479994 1630386 1902117 1927716 2219991 2536156 2891574 2959988 3260772 3804234 4439982 5179979 5706351 5783148 6659973 7608468 8879964 10359958 11412702 13319946 15539937 20719916 22825404 26639892 31079874 39219841 46619811 62159748 78439682 93239622 117659523 156879364 186479244 235319046 274538887 352978569 470638092 549077774 705957138 823616661 1098155548 1411914276 1647233322 2470849983 3294466644 4941699966 9883399932