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21101308648 = 23721910128051
BaseRepresentation
bin10011101001101111…
…000110101011101000
32000110120211112200221
4103221233012223220
5321203413334043
613405510135424
71344624110200
oct235157065350
960416745627
1021101308648
118a49158562
12410a951574
131cb38c6164
141042685400
158377ae8ed
hex4e9bc6ae8

21101308648 has 96 divisors (see below), whose sum is σ = 48928298400. Its totient is φ = 8482320000.

The previous prime is 21101308621. The next prime is 21101308649. The reversal of 21101308648 is 84680310112.

It is not an unprimeable number, because it can be changed into a prime (21101308649) by changing a digit.

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, 738223 + ... + 766273.

It is an arithmetic number, because the mean of its divisors is an integer number (509669775).

Almost surely, 221101308648 is an apocalyptic number.

21101308648 is a gapful number since it is divisible by the number (28) 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 21101308648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24464149200).

21101308648 is an abundant number, since it is smaller than the sum of its proper divisors (27826989752).

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

21101308648 is a wasteful number, since it uses less digits than its factorization.

21101308648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28191 (or 28180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 21101308648 in words is "twenty-one billion, one hundred one million, three hundred eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 101 133 152 196 202 266 392 404 532 707 808 931 1064 1414 1862 1919 2828 3724 3838 4949 5656 7448 7676 9898 13433 15352 19796 26866 28051 39592 53732 56102 94031 107464 112204 188062 196357 224408 376124 392714 532969 752248 785428 1065938 1374499 1570856 2131876 2748998 2833151 3730783 4263752 5497996 5666302 7461566 10995992 11332604 14923132 19832057 22665208 26115481 29846264 39664114 52230962 53829869 79328228 104461924 107659738 138824399 158656456 208923848 215319476 277648798 376809083 430638952 555297596 753618166 1110595192 1507236332 2637663581 3014472664 5275327162 10550654324 21101308648