Search a number
-
+
642325105400 = 2352112411211477
BaseRepresentation
bin10010101100011011000…
…11110100101011111000
32021101221202000011222112
421112031203310223320
541010440211333100
61211025144111452
764256262211526
oct11261543645370
92241852004875
10642325105400
1122845485a750
12a45a1465588
1348756635084
1423135577316
1511a95a34b35
hex958d8f4af8

642325105400 has 96 divisors (see below), whose sum is σ = 1635931432080. Its totient is φ = 232603392000.

The previous prime is 642325105381. The next prime is 642325105417. The reversal of 642325105400 is 4501523246.

It is a super-2 number, since 2×6423251054002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 75539 + ... + 1135938.

Almost surely, 2642325105400 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 642325105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817965716040).

642325105400 is an abundant number, since it is smaller than the sum of its proper divisors (993606326680).

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

642325105400 is a wasteful number, since it uses less digits than its factorization.

642325105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211745 (or 1211736 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 642325105400 its reverse (4501523246), we get a palindrome (646826628646).

The spelling of 642325105400 in words is "six hundred forty-two billion, three hundred twenty-five million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 241 275 440 482 550 964 1100 1205 1928 2200 2410 2651 4820 5302 6025 9640 10604 12050 13255 21208 24100 26510 48200 53020 66275 106040 132550 265100 530200 1211477 2422954 4845908 6057385 9691816 12114770 13326247 24229540 26652494 30286925 48459080 53304988 60573850 66631235 106609976 121147700 133262470 242295400 266524940 291965957 333156175 533049880 583931914 666312350 1167863828 1332624700 1459829785 2335727656 2665249400 2919659570 3211625527 5839319140 6423251054 7299148925 11678638280 12846502108 14598297850 16058127635 25693004216 29196595700 32116255270 58393191400 64232510540 80290638175 128465021080 160581276350 321162552700 642325105400