Search a number
-
+
9530531808240 = 2435401401324677
BaseRepresentation
bin1000101010101111111111…
…1101101000001111110000
31020202002222011000002201110
42022223333331220033300
52222122012120330430
632134133232233320
72002362314510052
oct212537775501760
936662864002643
109530531808240
11304496a821aa3
12109b0b799b840
13541957613991
1424d3ccc298d2
15117d9e9867b0
hex8aafff683f0

9530531808240 has 160 divisors (see below), whose sum is σ = 29626907167296. Its totient is φ = 2534402867200.

The previous prime is 9530531808211. The next prime is 9530531808253. The reversal of 9530531808240 is 428081350359.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9530531808240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386198782 + ... + 386223458.

Almost surely, 29530531808240 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 9530531808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813453583648).

9530531808240 is an abundant number, since it is smaller than the sum of its proper divisors (20096375359056).

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

9530531808240 is a wasteful number, since it uses less digits than its factorization.

9530531808240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29107 (or 29101 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 9530531808240 in words is "nine trillion, five hundred thirty billion, five hundred thirty-one million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4013 4812 6015 6416 8020 8026 9624 12030 12039 16040 16052 19248 20065 24060 24078 24677 32080 32104 40130 48120 48156 49354 60195 64208 74031 80260 96240 96312 98708 120390 123385 148062 160520 192624 197416 240780 246770 296124 321040 370155 394832 481560 493540 592248 740310 963120 987080 1184496 1480620 1609213 1974160 2961240 3218426 4827639 5922480 6436852 8046065 9655278 9895477 12873704 16092130 19310556 19790954 24138195 25747408 29686431 32184260 38621112 39581908 48276390 49477385 59372862 64368520 77242224 79163816 96552780 98954770 99028801 118745724 128737040 148432155 158327632 193105560 197909540 198057602 237491448 296864310 297086403 386211120 395819080 396115204 474982896 495144005 593728620 594172806 791638160 792230408 990288010 1187457240 1188345612 1485432015 1584460816 1980576020 2374914480 2376691224 2970864030 3961152040 4753382448 5941728060 7922304080 11883456120 23766912240 39710549201 79421098402 119131647603 158842196804 198552746005 238263295206 317684393608 397105492010 476526590412 595658238015 635368787216 794210984020 953053180824 1191316476030 1588421968040 1906106361648 2382632952060 3176843936080 4765265904120 9530531808240