Search a number
-
+
21256043016456 = 23322413893149077
BaseRepresentation
bin1001101010101000011101…
…11001001011000100001000
32210021001120011222211102100
410311110032321023010020
510241224334003011311
6113112520311033400
74322461363346313
oct465241671130410
983231504884370
1021256043016456
116855701158956
12247369196b860
13bb25895b8a31
14536b258c197a
1526cdb9be9a56
hex13550ee4b108

21256043016456 has 96 divisors (see below), whose sum is σ = 57955946419800. Its totient is φ = 7037806970880.

The previous prime is 21256043016449. The next prime is 21256043016487. The reversal of 21256043016456 is 65461034065212.

21256043016456 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 6 + 0 + 430 + 164 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16968385332900 + 4287657683556 = 4119270^2 + 2070666^2 .

It is an unprimeable number.

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, 5175390 + ... + 8324466.

Almost surely, 221256043016456 is an apocalyptic number.

It is an amenable number.

21256043016456 is an abundant number, since it is smaller than the sum of its proper divisors (36699903403344).

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

21256043016456 is a wasteful number, since it uses less digits than its factorization.

21256043016456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149719 (or 3149712 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 21256043016456 in words is "twenty-one trillion, two hundred fifty-six billion, forty-three million, sixteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 389 482 723 778 964 1167 1446 1556 1928 2169 2334 2892 3112 3501 4338 4668 5784 7002 8676 9336 14004 17352 28008 93749 187498 281247 374996 562494 749992 843741 1124988 1687482 2249976 3149077 3374964 6298154 6749928 9447231 12596308 18894462 25192616 28341693 37788924 56683386 75577848 113366772 226733544 758927557 1224990953 1517855114 2276782671 2449981906 3035710228 3674972859 4553565342 4899963812 6071420456 6830348013 7349945718 9107130684 9799927624 11024918577 13660696026 14699891436 18214261368 22049837154 27321392052 29399782872 44099674308 54642784104 88199348616 295222819673 590445639346 885668459019 1180891278692 1771336918038 2361782557384 2657005377057 3542673836076 5314010754114 7085347672152 10628021508228 21256043016456