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5345338812457 = 724147596471483
BaseRepresentation
bin100110111001000111100…
…0001010110100000101001
3200221000020212000110112111
41031302033001112200221
51200034223213444312
615211340441442321
71061121323143300
oct115621701264051
920830225013474
105345338812457
111780a444526a6
12723b671a03a1
132ca0a9070c47
14146a04151437
15940a04478a7
hex4dc8f056829

5345338812457 has 96 divisors (see below), whose sum is σ = 6630183383040. Its totient is φ = 4291171073280.

The previous prime is 5345338812431. The next prime is 5345338812469. The reversal of 5345338812457 is 7542188335435.

It is a de Polignac number, because none of the positive numbers 2k-5345338812457 is a prime.

It is a super-2 number, since 2×53453388124572 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5345338812257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3604408438 + ... + 3604409920.

It is an arithmetic number, because the mean of its divisors is an integer number (69064410240).

Almost surely, 25345338812457 is an apocalyptic number.

It is an amenable number.

5345338812457 is a deficient number, since it is larger than the sum of its proper divisors (1284844570583).

5345338812457 is a wasteful number, since it uses less digits than its factorization.

5345338812457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2284 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 58.

The spelling of 5345338812457 in words is "five trillion, three hundred forty-five billion, three hundred thirty-eight million, eight hundred twelve thousand, four hundred fifty-seven".

Divisors: 1 7 41 47 49 59 287 329 413 647 1483 1927 2009 2303 2419 2773 2891 4529 10381 13489 16933 19411 26527 30409 31703 38173 60803 69701 72667 87497 94423 113693 118531 135877 185689 212863 267211 425621 487907 612479 795851 959501 1246769 1299823 1490041 1565093 1794131 1870477 2857741 2979347 3415349 3587377 4112359 4287353 5570957 6716507 8727383 10955651 12558917 20004187 25111639 28786513 39339541 45096547 47015549 56610559 61091681 73559371 76689557 87912419 140029309 168606719 175781473 201505591 275376787 315675829 396273913 514915597 1180247033 1848958427 1927637509 2209730803 2321032919 2660696273 2773917391 3604409179 8261729231 12942708989 16247230433 18624873911 90598962923 109088547193 113730613031 130374117377 763619830351 5345338812457