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10916319232 = 21271329287
BaseRepresentation
bin10100010101010100…
…11101000000000000
31001011202222110210201
422022222131000000
5134324034203412
65003114334544
7534342116410
oct121252350000
931152873721
1010916319232
1146a1a83235
122147a2a454
13104c7a8ac0
14757b2a640
1543d55ee57
hex28aa9d000

10916319232 has 104 divisors (see below), whose sum is σ = 26868576896. Its totient is φ = 4318396416.

The previous prime is 10916319221. The next prime is 10916319251. The reversal of 10916319232 is 23291361901.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 10916319191 and 10916319200.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 358093 + ... + 387379.

Almost surely, 210916319232 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 10916319232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434288448).

10916319232 is an abundant number, since it is smaller than the sum of its proper divisors (15952257664).

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

10916319232 is an equidigital number, since it uses as much as digits as its factorization.

10916319232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29331 (or 29309 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 10916319232 in words is "ten billion, nine hundred sixteen million, three hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4096 5824 6656 7168 11648 13312 14336 23296 26624 28672 29287 46592 53248 58574 93184 117148 186368 205009 234296 372736 380731 410018 468592 761462 820036 937184 1522924 1640072 1874368 2665117 3045848 3280144 3748736 5330234 6091696 6560288 7497472 10660468 12183392 13120576 14994944 21320936 24366784 26241152 29989888 42641872 48733568 52482304 59979776 85283744 97467136 104964608 119959552 170567488 194934272 209929216 341134976 389868544 419858432 682269952 779737088 839716864 1364539904 1559474176 2729079808 5458159616 10916319232