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10332867104 = 257176144483
BaseRepresentation
bin10011001111110001…
…10000101000100000
3222200010010000221122
421213320300220200
5132130203221404
64425153111412
7514025630660
oct114770605040
928603100848
1010332867104
1144226a7a9a
122004558568
13c88955261
147004501a0
154072103be
hex267e30a20

10332867104 has 96 divisors (see below), whose sum is σ = 25020648576. Its totient is φ = 4099461120.

The previous prime is 10332867101. The next prime is 10332867133. The reversal of 10332867104 is 40176823301.

It is not an unprimeable number, because it can be changed into a prime (10332867101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210047 + ... + 254529.

It is an arithmetic number, because the mean of its divisors is an integer number (260631756).

Almost surely, 210332867104 is an apocalyptic number.

10332867104 is a gapful number since it is divisible by the number (14) 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 10332867104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510324288).

10332867104 is an abundant number, since it is smaller than the sum of its proper divisors (14687781472).

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

10332867104 is a wasteful number, since it uses less digits than its factorization.

10332867104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44578 (or 44570 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 10332867104 in words is "ten billion, three hundred thirty-two million, eight hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 68 112 119 122 136 224 238 244 272 427 476 488 544 854 952 976 1037 1708 1904 1952 2074 3416 3808 4148 6832 7259 8296 13664 14518 16592 29036 33184 44483 58072 88966 116144 177932 232288 311381 355864 622762 711728 756211 1245524 1423456 1512422 2491048 2713463 3024844 4982096 5293477 5426926 6049688 9964192 10586954 10853852 12099376 18994241 21173908 21707704 24198752 37988482 42347816 43415408 46128871 75976964 84695632 86830816 92257742 151953928 169391264 184515484 303907856 322902097 369030968 607815712 645804194 738061936 1291608388 1476123872 2583216776 5166433552 10332867104