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953431297104 = 2431113612277101
BaseRepresentation
bin11011101111111001110…
…11110000110001010000
310101010222021012012121010
431313330323300301100
5111110111403001404
62010000021330520
7125611626210636
oct15677473606120
93333867165533
10953431297104
11338391125180
12134946266a40
136bba638c140
143420970d356
1519c0325c189
hexddfcef0c50

953431297104 has 160 divisors (see below), whose sum is σ = 2941068509568. Its totient is φ = 262321920000.

The previous prime is 953431297097. The next prime is 953431297141. The reversal of 953431297104 is 401792134359.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719847 + ... + 1557254.

Almost surely, 2953431297104 is an apocalyptic number.

It is an amenable number.

953431297104 is an abundant number, since it is smaller than the sum of its proper divisors (1987637212464).

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

953431297104 is a wasteful number, since it uses less digits than its factorization.

953431297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277197 (or 2277191 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 953431297104 in words is "nine hundred fifty-three billion, four hundred thirty-one million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 61 66 78 88 104 122 132 143 156 176 183 208 244 264 286 312 366 429 488 528 572 624 671 732 793 858 976 1144 1342 1464 1586 1716 2013 2288 2379 2684 2928 3172 3432 4026 4758 5368 6344 6864 8052 8723 9516 10736 12688 16104 17446 19032 26169 32208 34892 38064 52338 69784 104676 139568 209352 418704 2277101 4554202 6831303 9108404 13662606 18216808 25048111 27325212 29602313 36433616 50096222 54650424 59204626 75144333 88806939 100192444 109300848 118409252 138903161 150288666 177613878 200384888 236818504 277806322 300577332 325625443 355227756 400769776 416709483 473637008 555612644 601154664 651250886 710455512 833418966 976876329 1111225288 1202309328 1302501772 1420911024 1527934771 1666837932 1805741093 1953752658 2222450576 2605003544 3055869542 3333675864 3611482186 3907505316 4583804313 5210007088 5417223279 6111739084 6667351728 7222964372 7815010632 9167608626 10834446558 12223478168 14445928744 15630021264 18335217252 19863152023 21668893116 24446956336 28891857488 36670434504 39726304046 43337786232 59589456069 73340869008 79452608092 86675572464 119178912138 158905216184 238357824276 317810432368 476715648552 953431297104