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46607001630 = 23576713923831
BaseRepresentation
bin101011011001111111…
…100110100000011110
311110022010021222212120
4223121333212200132
51230422343023010
633224433443410
73236651656140
oct533177464036
9143263258776
1046607001630
111884748a172
129048710566
134519b28a97
142381c66c90
15132ba71e70
hexad9fe681e

46607001630 has 128 divisors (see below), whose sum is σ = 130683248640. Its totient is φ = 10418094720.

The previous prime is 46607001599. The next prime is 46607001647. The reversal of 46607001630 is 3610070664.

It is a super-4 number, since 4×466070016304 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46607001591 and 46607001600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1943815 + ... + 1967645.

It is an arithmetic number, because the mean of its divisors is an integer number (1020962880).

Almost surely, 246607001630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46607001630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65341624320).

46607001630 is an abundant number, since it is smaller than the sum of its proper divisors (84076247010).

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

46607001630 is a wasteful number, since it uses less digits than its factorization.

46607001630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24054.

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 46607001630 in words is "forty-six billion, six hundred seven million, one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 139 201 210 278 335 402 417 469 670 695 834 938 973 1005 1390 1407 1946 2010 2085 2345 2814 2919 4170 4690 4865 5838 7035 9313 9730 14070 14595 18626 23831 27939 29190 46565 47662 55878 65191 71493 93130 119155 130382 139695 142986 166817 195573 238310 279390 325955 333634 357465 391146 500451 651910 714930 834085 977865 1000902 1596677 1668170 1955730 2502255 3193354 3312509 4790031 5004510 6625018 7983385 9580062 9937527 11176739 15966770 16562545 19875054 22353478 23187563 23950155 33125090 33530217 46375126 47900310 49687635 55883695 67060434 69562689 99375270 111767390 115937815 139125378 167651085 221938103 231875630 335302170 347813445 443876206 665814309 695626890 1109690515 1331628618 1553566721 2219381030 3107133442 3329071545 4660700163 6658143090 7767833605 9321400326 15535667210 23303500815 46607001630