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20065977252 = 223229312591511
BaseRepresentation
bin10010101100000001…
…101000001110100100
31220210102200021000200
4102230001220032210
5312043342233002
613115043310500
71310152664256
oct225401501644
956712607020
1020065977252
1185677a2782
123a8007b430
131b7a268429
14d84d7bcd6
157c694eb1c
hex4ac0683a4

20065977252 has 72 divisors (see below), whose sum is σ = 50969580480. Its totient is φ = 6656128320.

The previous prime is 20065977241. The next prime is 20065977299. The reversal of 20065977252 is 25277956002.

20065977252 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 597 + 7 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20065977198 and 20065977207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13279177 + ... + 13280687.

It is an arithmetic number, because the mean of its divisors is an integer number (707910840).

Almost surely, 220065977252 is an apocalyptic number.

It is an amenable number.

20065977252 is an abundant number, since it is smaller than the sum of its proper divisors (30903603228).

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

20065977252 is a wasteful number, since it uses less digits than its factorization.

20065977252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 20065977252 in words is "twenty billion, sixty-five million, nine hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1259 1511 1758 2518 2637 3022 3516 3777 4533 5036 5274 6044 7554 9066 10548 11331 13599 15108 18132 22662 27198 45324 54396 368887 442723 737774 885446 1106661 1328169 1475548 1770892 1902349 2213322 2656338 3319983 3804698 3984507 4426644 5312676 5707047 6639966 7609396 7969014 11414094 13279932 15938028 17121141 22828188 34242282 68484564 557388257 1114776514 1672164771 2229553028 3344329542 5016494313 6688659084 10032988626 20065977252