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10270659420 = 22325710379139
BaseRepresentation
bin10011001000010110…
…11101001101011100
3222111210001120001100
421210023131031130
5132013242100140
64415051513100
7512342110320
oct114413351534
928453046040
1010270659420
1143a057948a
121ba7758790
13c78ab4488
146d6099980
15401a23530
hex2642dd35c

10270659420 has 144 divisors (see below), whose sum is σ = 35951086080. Its totient is φ = 2324757888.

The previous prime is 10270659409. The next prime is 10270659479. The reversal of 10270659420 is 2495607201.

10270659420 is a `hidden beast` number, since 102 + 70 + 65 + 9 + 420 = 666.

10270659420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90211 + ... + 169349.

It is an arithmetic number, because the mean of its divisors is an integer number (249660320).

Almost surely, 210270659420 is an apocalyptic number.

10270659420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270659420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975543040).

10270659420 is an abundant number, since it is smaller than the sum of its proper divisors (25680426660).

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

10270659420 is a wasteful number, since it uses less digits than its factorization.

10270659420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79264 (or 79259 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10270659420 in words is "ten billion, two hundred seventy million, six hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 103 105 126 140 180 206 210 252 309 315 412 420 515 618 630 721 927 1030 1236 1260 1442 1545 1854 2060 2163 2884 3090 3605 3708 4326 4635 6180 6489 7210 8652 9270 10815 12978 14420 18540 21630 25956 32445 43260 64890 79139 129780 158278 237417 316556 395695 474834 553973 712251 791390 949668 1107946 1187085 1424502 1582780 1661919 2215892 2374170 2769865 2849004 3323838 3561255 4748340 4985757 5539730 6647676 7122510 8151317 8309595 9971514 11079460 14245020 16302634 16619190 19943028 24453951 24928785 32605268 33238380 40756585 48907902 49857570 57059219 73361853 81513170 97815804 99715140 114118438 122269755 146723706 163026340 171177657 228236876 244539510 285296095 293447412 342355314 366809265 489079020 513532971 570592190 684710628 733618530 855888285 1027065942 1141184380 1467237060 1711776570 2054131884 2567664855 3423553140 5135329710 10270659420