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48280826268280 = 2353780940324079
BaseRepresentation
bin10101111101001010000010…
…11111111100101001111000
320022221121020210110221200001
422332211001133330221320
522312013113011041110
6250403523321522344
713112113612002064
oct1276450137745170
9208847223427601
1048280826268280
1114424868828131
1254b91930433b4
1320c2b29862028
14bccb3961aaa4
1558ad65dda63a
hex2be9417fca78

48280826268280 has 64 divisors (see below), whose sum is σ = 111705766416000. Its totient is φ = 18767148493824.

The previous prime is 48280826268271. The next prime is 48280826268299. The reversal of 48280826268280 is 8286262808284.

It is a super-3 number, since 3×482808262682803 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18964720 + ... + 21359359.

It is an arithmetic number, because the mean of its divisors is an integer number (1745402600250).

Almost surely, 248280826268280 is an apocalyptic number.

48280826268280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48280826268280 is an abundant number, since it is smaller than the sum of its proper divisors (63424940147720).

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

48280826268280 is a wasteful number, since it uses less digits than its factorization.

48280826268280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40324936 (or 40324932 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 64.

The spelling of 48280826268280 in words is "forty-eight trillion, two hundred eighty billion, eight hundred twenty-six million, two hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 809 1480 1618 3236 4045 6472 8090 16180 29933 32360 59866 119732 149665 239464 299330 598660 1197320 40324079 80648158 161296316 201620395 322592632 403240790 806481580 1491990923 1612963160 2983981846 5967963692 7459954615 11935927384 14919909230 29839818460 32622179911 59679636920 65244359822 130488719644 163110899555 260977439288 326221799110 652443598220 1207020656707 1304887196440 2414041313414 4828082626828 6035103283535 9656165253656 12070206567070 24140413134140 48280826268280