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1054243626645 = 351122964131247
BaseRepresentation
bin11110101011101011101…
…00010001111010010101
310201210012001101011111010
433111311310101322111
5114233042332023040
62124151323402433
7136111065654066
oct17256564217225
93653161334433
101054243626645
11377114052500
121503a0083419
137855127a741
14390505c856d
151c653956e80
hexf575d11e95

1054243626645 has 96 divisors (see below), whose sum is σ = 1921062044160. Its totient is φ = 492736921600.

The previous prime is 1054243626619. The next prime is 1054243626647. The reversal of 1054243626645 is 5466263424501.

It is not a de Polignac number, because 1054243626645 - 27 = 1054243626517 is a prime.

It is a super-2 number, since 2×10542436266452 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054243626594 and 1054243626603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054243626647) 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, 33723412 + ... + 33754658.

It is an arithmetic number, because the mean of its divisors is an integer number (20011062960).

Almost surely, 21054243626645 is an apocalyptic number.

1054243626645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054243626645 is a deficient number, since it is larger than the sum of its proper divisors (866818417515).

1054243626645 is a wasteful number, since it uses less digits than its factorization.

1054243626645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31947 (or 31936 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 1054243626645 in words is "one trillion, fifty-four billion, two hundred forty-three million, six hundred twenty-six thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 29 33 55 87 121 145 165 319 363 435 605 641 957 1595 1815 1923 3205 3509 4785 7051 9615 10527 17545 18589 21153 31247 35255 52635 55767 77561 92945 93741 105765 156235 204479 232683 278835 343717 387805 468705 613437 906163 1022395 1031151 1163415 1718585 2249269 2718489 3067185 3780887 4530815 5155755 6747807 9967793 11246345 11342661 13592445 18904435 20029327 29903379 33739035 49838965 56713305 60087981 100146635 109645723 149516895 220322597 300439905 328937169 548228615 580850483 660967791 1101612985 1644685845 1742551449 2423548567 2904252415 3304838955 6389355313 7270645701 8712757245 12117742835 19168065939 31946776565 36353228505 70282908443 95840329695 210848725329 351414542215 1054243626645