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661153351166 = 272111747767603
BaseRepresentation
bin10011001111011111100…
…11111000010111111110
32100012112220200011121022
421213233303320113332
541313020224214131
61223421334504142
765523665521400
oct11475763702776
92305486604538
10661153351166
11235436915440
12a8176b05052
134a467327bb9
1423dddda2b70
15122e899437b
hex99efcf85fe

661153351166 has 96 divisors (see below), whose sum is σ = 1360906624512. Its totient is φ = 237281130240.

The previous prime is 661153351163. The next prime is 661153351193.

661153351166 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6611533511662 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661153351163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477521 + ... + 1245123.

It is an arithmetic number, because the mean of its divisors is an integer number (14176110672).

Almost surely, 2661153351166 is an apocalyptic number.

661153351166 is an abundant number, since it is smaller than the sum of its proper divisors (699753273346).

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

661153351166 is a wasteful number, since it uses less digits than its factorization.

661153351166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767694 (or 767687 counting only the distinct ones).

The product of its digits is 291600, while the sum is 44.

The spelling of 661153351166 in words is "six hundred sixty-one billion, one hundred fifty-three million, three hundred fifty-one thousand, one hundred sixty-six".

Divisors: 1 2 7 11 14 17 22 34 47 49 77 94 98 119 154 187 238 329 374 517 539 658 799 833 1034 1078 1309 1598 1666 2303 2618 3619 4606 5593 7238 8789 9163 11186 17578 18326 25333 39151 50666 61523 78302 123046 430661 767603 861322 1535206 5373221 8443633 10746442 13049251 16887266 26098502 36077341 37612547 59105431 72154682 75225094 91344757 118210862 143541761 182689514 252541387 287083522 396850751 413738017 505082774 613314797 639413299 793701502 827476034 1004792327 1226629594 1278826598 1767789709 2009584654 2777955257 3535579418 4293203579 5555910514 6746462767 7033546289 8586407158 13492925534 14067092578 19445686799 30052425053 38891373598 47225239369 60104850106 94450478738 330576675583 661153351166