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270140383392 = 253112137169751
BaseRepresentation
bin1111101110010110011…
…1110010000010100000
3221211021112210100011220
43323211213302002200
513411221414232032
6324033433535040
725342221241455
oct3734547620240
9854245710156
10270140383392
11a4625227400
1244431574480
131c621879509
14d1095db82c
15706106512c
hex3ee59f20a0

270140383392 has 144 divisors (see below), whose sum is σ = 785138308416. Its totient is φ = 81262720000.

The previous prime is 270140383363. The next prime is 270140383417. The reversal of 270140383392 is 293383041072.

270140383392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506517 + ... + 1676267.

It is an arithmetic number, because the mean of its divisors is an integer number (5452349364).

Almost surely, 2270140383392 is an apocalyptic number.

270140383392 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 270140383392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392569154208).

270140383392 is an abundant number, since it is smaller than the sum of its proper divisors (514997925024).

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

270140383392 is a wasteful number, since it uses less digits than its factorization.

270140383392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169923 (or 169904 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 270140383392 in words is "two hundred seventy billion, one hundred forty million, three hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 137 176 242 264 274 352 363 411 484 528 548 726 822 968 1056 1096 1452 1507 1644 1936 2192 2904 3014 3288 3872 4384 4521 5808 6028 6576 9042 11616 12056 13152 16577 18084 24112 33154 36168 48224 49731 66308 72336 99462 132616 144672 169751 198924 265232 339502 397848 509253 530464 679004 795696 1018506 1358008 1591392 1867261 2037012 2716016 3734522 4074024 5432032 5601783 7469044 8148048 11203566 14938088 16296096 20539871 22407132 23255887 29876176 41079742 44814264 46511774 59752352 61619613 69767661 82159484 89628528 93023548 123239226 139535322 164318968 179257056 186047096 246478452 255814757 279070644 328637936 372094192 492956904 511629514 558141288 657275872 744188384 767444271 985913808 1023259028 1116282576 1534888542 1971827616 2046518056 2232565152 2813962327 3069777084 4093036112 5627924654 6139554168 8186072224 8441886981 11255849308 12279108336 16883773962 22511698616 24558216672 33767547924 45023397232 67535095848 90046794464 135070191696 270140383392