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28742102173603 = 72134110919152861
BaseRepresentation
bin1101000100100000010101…
…10010100100011110100011
310202202201101112000022211001
412202100022302210132203
512231402311124023403
6141043534531132431
76024356041314400
oct642201262443643
9122681345008731
1028742102173603
119181503410065
1232824b3a44117
1313064a3a96690
147151a76632a7
1534c9ac1d1c1d
hex1a240aca47a3

28742102173603 has 96 divisors (see below), whose sum is σ = 37418785367040. Its totient is φ = 21867293952000.

The previous prime is 28742102173601. The next prime is 28742102173607. The reversal of 28742102173603 is 30637120124782.

It is not a de Polignac number, because 28742102173603 - 21 = 28742102173601 is a prime.

It is a super-2 number, since 2×287421021736032 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28742102173601) 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, 543703393 + ... + 543756253.

It is an arithmetic number, because the mean of its divisors is an integer number (389779014240).

Almost surely, 228742102173603 is an apocalyptic number.

28742102173603 is a deficient number, since it is larger than the sum of its proper divisors (8676683193437).

28742102173603 is a wasteful number, since it uses less digits than its factorization.

28742102173603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53229 (or 53222 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 28742102173603 in words is "twenty-eight trillion, seven hundred forty-two billion, one hundred two million, one hundred seventy-three thousand, six hundred three".

Divisors: 1 7 13 41 49 91 109 191 287 533 637 763 1337 1417 2009 2483 3731 4469 5341 7831 9359 9919 17381 20819 26117 31283 52861 54817 58097 69433 101803 121667 145733 218981 270647 370027 383719 406679 687193 712621 853579 1020131 1894529 2167301 2590189 2846753 4810351 4988347 5761849 5975053 10096451 11096527 13261703 15171107 28174913 33672457 40332943 41825371 70675157 74904037 77675689 106197749 131253863 197224391 236235809 282330601 413954491 494726099 524328259 543729823 918777041 1100513159 1380570737 1653650663 2897681437 3071065517 3670297813 5381408383 6431439287 7703592113 11575554641 14306671067 20283770059 21497458619 37669858681 45121039519 53925144791 100146697469 150482210333 263689010767 315847276633 586573513747 701026882283 2210930936431 4106014596229 28742102173603