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9700269048 = 2334412331567
BaseRepresentation
bin10010000100010111…
…00101101111111000
3221001000202201120000
421002023211233320
5124331232102143
64242314233000
7462244632531
oct110213455770
927030681500
109700269048
114128604788
121a68725760
13bb7884c92
1468041d688
153bb903bd3
hex2422e5bf8

9700269048 has 160 divisors (see below), whose sum is σ = 27969701760. Its totient is φ = 3139015680.

The previous prime is 9700269023. The next prime is 9700269049. The reversal of 9700269048 is 8409620079.

It is a happy number.

9700269048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9700268994 and 9700269012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9700269049) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6189561 + ... + 6191127.

It is an arithmetic number, because the mean of its divisors is an integer number (174810636).

Almost surely, 29700269048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9700269048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984850880).

9700269048 is an abundant number, since it is smaller than the sum of its proper divisors (18269432712).

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

9700269048 is a wasteful number, since it uses less digits than its factorization.

9700269048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9700269048 is about 98489.9438927650. The cubic root of 9700269048 is about 2132.6909532250.

The spelling of 9700269048 in words is "nine billion, seven hundred million, two hundred sixty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 233 246 324 328 369 466 492 648 699 738 932 984 1107 1398 1476 1567 1864 2097 2214 2796 2952 3134 3321 4194 4428 4701 5592 6268 6291 6642 8388 8856 9402 9553 12536 12582 13284 14103 16776 18804 18873 19106 25164 26568 28206 28659 37608 37746 38212 42309 50328 56412 57318 64247 75492 76424 84618 85977 112824 114636 126927 128494 150984 169236 171954 192741 229272 253854 256988 257931 338472 343908 365111 385482 507708 513976 515862 578223 687816 730222 770964 773793 1015416 1031724 1095333 1156446 1460444 1541928 1547586 1734669 2063448 2190666 2312892 2920888 3095172 3285999 3469338 4381332 4625784 5204007 6190344 6571998 6938676 8762664 9857997 10408014 13143996 13877352 14969551 19715994 20816028 26287992 29573991 29939102 39431988 41632056 44908653 59147982 59878204 78863976 89817306 118295964 119756408 134725959 179634612 236591928 269451918 359269224 404177877 538903836 808355754 1077807672 1212533631 1616711508 2425067262 3233423016 4850134524 9700269048