Search a number
-
+
46708005552 = 243131674391021
BaseRepresentation
bin101011100000000000…
…111001101010110000
311110120011100112012120
4223200000321222300
51231124222134202
633242442354240
73242316332205
oct534000715260
9143504315176
1046708005552
11188994a698a
1290764bb980
134534a31510
142391439cac
1513358740bc
hexae0039ab0

46708005552 has 160 divisors (see below), whose sum is σ = 131148272640. Its totient is φ = 14239134720.

The previous prime is 46708005523. The next prime is 46708005581. The reversal of 46708005552 is 25550080764.

It is an interprime number because it is at equal distance from previous prime (46708005523) and next prime (46708005581).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45746802 + ... + 45747822.

It is an arithmetic number, because the mean of its divisors is an integer number (819676704).

Almost surely, 246708005552 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 46708005552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65574136320).

46708005552 is an abundant number, since it is smaller than the sum of its proper divisors (84440267088).

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

46708005552 is a wasteful number, since it uses less digits than its factorization.

46708005552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 46708005552 in words is "forty-six billion, seven hundred eight million, five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 439 501 624 668 878 1002 1021 1317 1336 1756 2004 2042 2171 2634 2672 3063 3512 4008 4084 4342 5268 5707 6126 6513 7024 8016 8168 8684 10536 11414 12252 13026 13273 16336 17121 17368 21072 22828 24504 26052 26546 34242 34736 39819 45656 49008 52104 53092 68484 73313 79638 91312 104208 106184 136968 146626 159276 170507 212368 219939 273936 293252 318552 341014 439878 448219 511521 586504 637104 682028 879756 896438 953069 1023042 1173008 1344657 1364056 1759512 1792876 1906138 2046084 2216591 2689314 2728112 2859207 3519024 3585752 3812276 4092168 4433182 5378628 5718414 5826847 6649773 7171504 7624552 8184336 8866364 10757256 11436828 11653694 13299546 15249104 17480541 17732728 21514512 22873656 23307388 26599092 34961082 35465456 45747312 46614776 53198184 69922164 74852573 93229552 106396368 139844328 149705146 224557719 279688656 299410292 449115438 598820584 898230876 973083449 1197641168 1796461752 1946166898 2919250347 3592923504 3892333796 5838500694 7784667592 11677001388 15569335184 23354002776 46708005552