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6745531540 = 22511235325153
BaseRepresentation
bin1100100100001000…
…01010010010010100
3122102002220111200111
412102010022102110
5102303324002130
63033204052404
7326106033466
oct62204122224
918362814614
106745531540
112951749760
121383094104
1383668a6a7
1447dc3a136
1529730102a
hex19210a494

6745531540 has 96 divisors (see below), whose sum is σ = 16430190336. Its totient is φ = 2301911040.

The previous prime is 6745531523. The next prime is 6745531543. The reversal of 6745531540 is 451355476.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6745531493 and 6745531502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6745531543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255604 + ... + 280756.

It is an arithmetic number, because the mean of its divisors is an integer number (171147816).

Almost surely, 26745531540 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 6745531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215095168).

6745531540 is an abundant number, since it is smaller than the sum of its proper divisors (9684658796).

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

6745531540 is a wasteful number, since it uses less digits than its factorization.

6745531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25249 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 6745531540 is about 82131.1849421400. The cubic root of 6745531540 is about 1889.4644526502.

The spelling of 6745531540 in words is "six billion, seven hundred forty-five million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 53 55 92 106 110 115 212 220 230 253 265 460 506 530 583 1012 1060 1166 1219 1265 2332 2438 2530 2915 4876 5060 5830 6095 11660 12190 13409 24380 25153 26818 50306 53636 67045 100612 125765 134090 251530 268180 276683 503060 553366 578519 1106732 1157038 1333109 1383415 2314076 2666218 2766830 2892595 5332436 5533660 5785190 6363709 6665545 11570380 12727418 13331090 14664199 25454836 26662180 29328398 30661507 31818545 58656796 61323014 63637090 73320995 122646028 127274180 146641990 153307535 293283980 306615070 337276577 613230140 674553154 1349106308 1686382885 3372765770 6745531540