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28075097229760 = 2657102317122497
BaseRepresentation
bin1100110001000101111100…
…01100101000100111000000
310200101221201210112110010001
412120202332030220213000
512134440244342323020
6135413304400245344
75625234036662020
oct630427614504700
9120357653473101
1028075097229760
118a44644519519
123195185310854
131288616364a09
146d0bb0483a80
1533a46eb6c50a
hex1988be3289c0

28075097229760 has 112 divisors (see below), whose sum is σ = 76405742218944. Its totient is φ = 9625574965248.

The previous prime is 28075097229733. The next prime is 28075097229827. The reversal of 28075097229760 is 6792279057082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×280750972297602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 28075097229692 and 28075097229701.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 229128832 + ... + 229251328.

Almost surely, 228075097229760 is an apocalyptic number.

28075097229760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28075097229760 is an abundant number, since it is smaller than the sum of its proper divisors (48330644989184).

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

28075097229760 is a wasteful number, since it uses less digits than its factorization.

28075097229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224838 (or 224828 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

The spelling of 28075097229760 in words is "twenty-eight trillion, seventy-five billion, ninety-seven million, two hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 102317 122497 204634 244994 409268 489988 511585 612485 716219 818536 857479 979976 1023170 1224970 1432438 1637072 1714958 1959952 2046340 2449940 2864876 3274144 3429916 3581095 3919904 4092680 4287395 4899880 5729752 6548288 6859832 7162190 7839808 8185360 8574790 9799760 11459504 13719664 14324380 16370720 17149580 19599520 22919008 27439328 28648760 32741440 34299160 39199040 45838016 54878656 57297520 68598320 114595040 137196640 229190080 274393280 12533525549 25067051098 50134102196 62667627745 87734678843 100268204392 125335255490 175469357686 200536408784 250670510980 350938715372 401072817568 438673394215 501341021960 701877430744 802145635136 877346788430 1002682043920 1403754861488 1754693576860 2005364087840 2807509722976 3509387153720 4010728175680 5615019445952 7018774307440 14037548614880 28075097229760