Search a number
-
+
3531248323020 = 22325116732650013
BaseRepresentation
bin110011011000101110110…
…011010100100111001100
3110111120202202201021022200
4303120232303110213030
5430323444032314040
611302122202441500
7513060424332135
oct63305663244714
913446682637280
103531248323020
111141659689820
12490467b03290
131c7cc2856232
14c2cb0272c8c
1561cc8884630
hex3362ecd49cc

3531248323020 has 144 divisors (see below), whose sum is σ = 11702589024672. Its totient is φ = 854787870720.

The previous prime is 3531248323007. The next prime is 3531248323049. The reversal of 3531248323020 is 203238421353.

3531248323020 is a `hidden beast` number, since 3 + 5 + 312 + 4 + 8 + 32 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7534 + ... + 2657546.

It is an arithmetic number, because the mean of its divisors is an integer number (81267979338).

Almost surely, 23531248323020 is an apocalyptic number.

3531248323020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3531248323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851294512336).

3531248323020 is an abundant number, since it is smaller than the sum of its proper divisors (8171340701652).

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

3531248323020 is a wasteful number, since it uses less digits than its factorization.

3531248323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650712 (or 2650707 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3531248323020 in words is "three trillion, five hundred thirty-one billion, two hundred forty-eight million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 673 990 1346 1980 2019 2692 3365 4038 6057 6730 7403 8076 10095 12114 13460 14806 20190 22209 24228 29612 30285 37015 40380 44418 60570 66627 74030 88836 111045 121140 133254 148060 222090 266508 333135 444180 666270 1332540 2650013 5300026 7950039 10600052 13250065 15900078 23850117 26500130 29150143 31800156 39750195 47700234 53000260 58300286 79500390 87450429 95400468 116600572 119250585 145750715 159000780 174900858 238501170 262351287 291501430 349801716 437252145 477002340 524702574 583002860 874504290 1049405148 1311756435 1749008580 1783458749 2623512870 3566917498 5247025740 5350376247 7133834996 8917293745 10700752494 16051128741 17834587490 19618046239 21401504988 26751881235 32102257482 35669174980 39236092478 53503762470 58854138717 64204514964 78472184956 80255643705 98090231195 107007524940 117708277434 160511287410 176562416151 196180462390 235416554868 294270693585 321022574820 353124832302 392360924780 588541387170 706249664604 882812080755 1177082774340 1765624161510 3531248323020