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542106643416 = 233131939002701
BaseRepresentation
bin1111110001110000001…
…00101110101111011000
31220211021100021211020020
413320320010232233120
532340213300042131
61053012414430440
754110623303602
oct7707004565730
91824240254206
10542106643416
111999a7081958
1289092502420
133c1747a5cb0
141c3494ca172
15e17c545996
hex7e3812ebd8

542106643416 has 64 divisors (see below), whose sum is σ = 1467080317920. Its totient is φ = 165937766400.

The previous prime is 542106643327. The next prime is 542106643439. The reversal of 542106643416 is 614346601245.

It is a super-2 number, since 2×5421066434162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4441135 + ... + 4561566.

Almost surely, 2542106643416 is an apocalyptic number.

It is an amenable number.

542106643416 is an abundant number, since it is smaller than the sum of its proper divisors (924973674504).

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

542106643416 is a wasteful number, since it uses less digits than its factorization.

542106643416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002916 (or 9002912 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 542106643416 in words is "five hundred forty-two billion, one hundred six million, six hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2316 2509 4632 5018 7527 10036 15054 20072 30108 60216 9002701 18005402 27008103 36010804 54016206 72021608 108032412 117035113 216064824 234070226 351105339 468140452 702210678 936280904 1404421356 1737521293 2808842712 3475042586 5212563879 6950085172 10425127758 13900170344 20850255516 22587776809 41700511032 45175553618 67763330427 90351107236 135526660854 180702214472 271053321708 542106643416