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21727550550051 = 32314324114235281
BaseRepresentation
bin1001111000010110101101…
…11011101011000000100011
32211221010121100121021121100
410330023112323223000203
510321441010420100201
6114113255433525443
74401522646302543
oct474132673530043
984833540537540
1021727550550051
116a17669938655
12252ab40873883
13c17b8c7a0a18
145518949a1323
1527a2b423a886
hex13c2d6eeb023

21727550550051 has 96 divisors (see below), whose sum is σ = 33317296922624. Its totient is φ = 13622805504000.

The previous prime is 21727550549981. The next prime is 21727550550091. The reversal of 21727550550051 is 15005505572712.

21727550550051 is a `hidden beast` number, since 2 + 1 + 72 + 75 + 5 + 0 + 5 + 500 + 5 + 1 = 666.

It is not a de Polignac number, because 21727550550051 - 211 = 21727550548003 is a prime.

It is a super-2 number, since 2×217275505500512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21727550549979 and 21727550550006.

It is not an unprimeable number, because it can be changed into a prime (21727550550091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4114284531 + ... + 4114289811.

Almost surely, 221727550550051 is an apocalyptic number.

21727550550051 is a deficient number, since it is larger than the sum of its proper divisors (11589746372573).

21727550550051 is a wasteful number, since it uses less digits than its factorization.

21727550550051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 612500, while the sum is 45.

The spelling of 21727550550051 in words is "twenty-one trillion, seven hundred twenty-seven billion, five hundred fifty million, five hundred fifty thousand, fifty-one".

Divisors: 1 3 9 31 43 93 129 241 279 387 723 1333 1423 2169 3999 4269 5281 7471 10363 11997 12807 15843 22413 31089 44113 47529 61189 67239 93267 132339 163711 183567 227083 321253 342943 397017 491133 550701 681249 963759 1028829 1272721 1473399 1896859 2043747 2891277 3086487 3818163 5690577 7039573 7514863 10631233 11454489 14746549 17071731 21118719 22544589 31893699 39454351 44239647 54727003 63356157 67633767 95681097 118363053 132718941 164181009 232960753 323139109 355089159 457143019 492543027 698882259 969417327 1371429057 1696537093 1811081983 2096646777 2908251981 4114287171 5089611279 5433245949 10017312379 15268833837 16299737847 30051937137 56143541473 77876525269 90155811411 168430624419 233629575807 505291873257 700888727421 2414172283339 7242516850017 21727550550051