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10867348016 = 2472320392069
BaseRepresentation
bin10100001111011111…
…01001001000110000
31001001100211110220222
422013233221020300
5134224020114031
64554204552212
7533205635240
oct120757511060
931040743828
1010867348016
114677375458
122133552668
1310425c0a55
1475141db20
154390d9e7b
hex287be9230

10867348016 has 80 divisors (see below), whose sum is σ = 25134105600. Its totient is φ = 4450600704.

The previous prime is 10867347979. The next prime is 10867348027. The reversal of 10867348016 is 61084376801.

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, 5251430 + ... + 5253498.

It is an arithmetic number, because the mean of its divisors is an integer number (314176320).

Almost surely, 210867348016 is an apocalyptic number.

10867348016 is a gapful number since it is divisible by the number (16) 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 10867348016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567052800).

10867348016 is an abundant number, since it is smaller than the sum of its proper divisors (14266757584).

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

10867348016 is a wasteful number, since it uses less digits than its factorization.

10867348016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10867348016 in words is "ten billion, eight hundred sixty-seven million, three hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2039 2069 2576 4078 4138 8156 8276 14273 14483 16312 16552 28546 28966 32624 33104 46897 47587 57092 57932 93794 95174 114184 115864 187588 190348 228368 231728 328279 333109 375176 380696 656558 666218 750352 761392 1313116 1332436 2626232 2664872 4218691 5252464 5329744 8437382 16874764 29530837 33749528 59061674 67499056 97029893 118123348 194059786 236246696 388119572 472493392 679209251 776239144 1358418502 1552478288 2716837004 5433674008 10867348016