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2085442470 = 2335193710987
BaseRepresentation
bin111110001001101…
…0101001110100110
312101100010110021000
41330103111032212
513232333124340
6542534134130
7102451653126
oct17423251646
95340113230
102085442470
119801a5881
124a24b1346
13273091a37
1415ad7ac86
15c313dd30
hex7c4d53a6

2085442470 has 128 divisors (see below), whose sum is σ = 6012633600. Its totient is φ = 512562816.

The previous prime is 2085442439. The next prime is 2085442487. The reversal of 2085442470 is 742445802.

2085442470 is a `hidden beast` number, since 20 + 8 + 544 + 24 + 70 = 666.

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 63 ways as a sum of consecutive naturals, for example, 184317 + ... + 195303.

It is an arithmetic number, because the mean of its divisors is an integer number (46973700).

Almost surely, 22085442470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085442470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006316800).

2085442470 is an abundant number, since it is smaller than the sum of its proper divisors (3927191130).

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

2085442470 is a wasteful number, since it uses less digits than its factorization.

2085442470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2085442470 is about 45666.6450486567. The cubic root of 2085442470 is about 1277.6132423107.

The spelling of 2085442470 in words is "two billion, eighty-five million, four hundred forty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 90 95 111 114 135 171 185 190 222 270 285 333 342 370 513 555 570 666 703 855 999 1026 1110 1406 1665 1710 1998 2109 2565 3330 3515 4218 4995 5130 6327 7030 9990 10545 10987 12654 18981 21090 21974 31635 32961 37962 54935 63270 65922 94905 98883 109870 164805 189810 197766 208753 296649 329610 406519 417506 494415 593298 626259 813038 988830 1043765 1219557 1252518 1483245 1878777 2032595 2087530 2439114 2966490 3131295 3658671 3757554 4065190 5636331 6097785 6262590 7317342 7723861 9393885 10976013 11272662 12195570 15447722 18293355 18787770 21952026 23171583 28181655 36586710 38619305 46343166 54880065 56363310 69514749 77238610 109760130 115857915 139029498 208544247 231715830 347573745 417088494 695147490 1042721235 2085442470