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21546799104 = 212310916087
BaseRepresentation
bin10100000100010010…
…100001000000000000
32001121122002210201110
4110010102201000000
5323111440032404
613522022403320
71361643525165
oct240422410000
961548083643
1021546799104
119157674096
124213b90540
132054ca438c
1410858cc06c
1586195bb89
hex5044a1000

21546799104 has 104 divisors (see below), whose sum is σ = 57981795520. Its totient is φ = 7115931648.

The previous prime is 21546799097. The next prime is 21546799111. The reversal of 21546799104 is 40199764512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21546799097) and next prime (21546799111).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331349 + ... + 1347435.

Almost surely, 221546799104 is an apocalyptic number.

21546799104 is a gapful number since it is divisible by the number (24) 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 21546799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28990897760).

21546799104 is an abundant number, since it is smaller than the sum of its proper divisors (36434996416).

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

21546799104 is a wasteful number, since it uses less digits than its factorization.

21546799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223 (or 16201 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 21546799104 in words is "twenty-one billion, five hundred forty-six million, seven hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 768 872 1024 1308 1536 1744 2048 2616 3072 3488 4096 5232 6144 6976 10464 12288 13952 16087 20928 27904 32174 41856 48261 55808 64348 83712 96522 111616 128696 167424 193044 223232 257392 334848 386088 446464 514784 669696 772176 1029568 1339392 1544352 1753483 2059136 3088704 3506966 4118272 5260449 6177408 7013932 8236544 10520898 12354816 14027864 16473088 21041796 24709632 28055728 32946176 42083592 49419264 56111456 65892352 84167184 98838528 112222912 168334368 197677056 224445824 336668736 448891648 673337472 897783296 1346674944 1795566592 2693349888 3591133184 5386699776 7182266368 10773399552 21546799104