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2609523240632 = 2371117774132191
BaseRepresentation
bin100101111110010011101…
…101001010111010111000
3100020110122011100122200022
4211332103231022322320
5320223300422200012
65314444243230012
7356350263365030
oct45762355127270
910213564318608
102609523240632
11916768925a90
123618b0078308
1315c1001a33b9
14904318308c0
1547d2de31472
hex25f93b4aeb8

2609523240632 has 128 divisors (see below), whose sum is σ = 6460053626880. Its totient is φ = 956738304000.

The previous prime is 2609523240629. The next prime is 2609523240641. The reversal of 2609523240632 is 2360423259062.

It is a super-2 number, since 2×26095232406322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 81047657 + ... + 81079847.

It is an arithmetic number, because the mean of its divisors is an integer number (50469168960).

Almost surely, 22609523240632 is an apocalyptic number.

2609523240632 is a gapful number since it is divisible by the number (22) 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 2609523240632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230026813440).

2609523240632 is an abundant number, since it is smaller than the sum of its proper divisors (3850530386248).

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

2609523240632 is a wasteful number, since it uses less digits than its factorization.

2609523240632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39973 (or 39969 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

Adding to 2609523240632 its reverse (2360423259062), we get a palindrome (4969946499694).

The spelling of 2609523240632 in words is "two trillion, six hundred nine billion, five hundred twenty-three million, two hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 7741 10472 15482 30964 32191 54187 61928 64382 85151 108374 128764 131597 170302 216748 225337 257528 263194 340604 354101 433496 450674 526388 547247 596057 681208 708202 901348 921179 1052776 1094494 1192114 1416404 1447567 1802696 1842358 2188988 2384228 2478707 2832808 2895134 3684716 3830729 4377976 4768456 4957414 5790268 6019717 7369432 7661458 9914828 10132969 11580536 12039434 15322916 19829656 20265938 24078868 30645832 40531876 42138019 48157736 81063752 84276038 168552076 249190531 337104152 498381062 996762124 1744333717 1993524248 2741095841 3488667434 4236239027 5482191682 6977334868 8472478054 10964383364 13954669736 16944956108 19187670887 21928766728 29653673189 33889912216 38375341774 46598629297 59307346378 76750683548 93197258594 118614692756 153501367096 186394517188 237229385512 326190405079 372789034376 652380810158 1304761620316 2609523240632