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21147674112 = 293210145439
BaseRepresentation
bin10011101100011111…
…111110011000000000
32000120211002011011100
4103230133332120000
5321302301032422
613414244014400
71346026156365
oct235437763000
960524064140
1021147674112
118a72346624
124122391400
131cc03ab146
1410488b446c
1583b8bc7ac
hex4ec7fe600

21147674112 has 120 divisors (see below), whose sum is σ = 61639269120. Its totient is φ = 6979276800.

The previous prime is 21147674087. The next prime is 21147674159.

21147674112 is a `hidden beast` number, since 2 + 1 + 1 + 476 + 74 + 112 = 666.

21147674112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442689 + ... + 488127.

It is an arithmetic number, because the mean of its divisors is an integer number (513660576).

Almost surely, 221147674112 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 21147674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30819634560).

21147674112 is an abundant number, since it is smaller than the sum of its proper divisors (40491595008).

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

21147674112 is a wasteful number, since it uses less digits than its factorization.

21147674112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45564 (or 45545 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The spelling of 21147674112 in words is "twenty-one billion, one hundred forty-seven million, six hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1152 1212 1536 1616 1818 2304 2424 3232 3636 4608 4848 6464 7272 9696 12928 14544 19392 25856 29088 38784 45439 51712 58176 77568 90878 116352 136317 155136 181756 232704 272634 363512 408951 465408 545268 727024 817902 1090536 1454048 1635804 2181072 2908096 3271608 4362144 4589339 5816192 6543216 8724288 9178678 11632384 13086432 13768017 17448576 18357356 23264768 26172864 27536034 34897152 36714712 41304051 52345728 55072068 69794304 73429424 82608102 104691456 110144136 146858848 165216204 209382912 220288272 293717696 330432408 440576544 587435392 660864816 881153088 1174870784 1321729632 1762306176 2349741568 2643459264 3524612352 5286918528 7049224704 10573837056 21147674112