Search a number
-
+
9964366080 = 283519136573
BaseRepresentation
bin10010100011110110…
…00010100100000000
3221201102201020120120
421101323002210000
5130401334203310
64324430540240
7501632466654
oct112173024400
927642636516
109964366080
114253696799
121b21067680
13c2a4c2006
146a7528a64
153d4bbeb70
hex251ec2900

9964366080 has 144 divisors (see below), whose sum is σ = 33498870720. Its totient is φ = 2517295104.

The previous prime is 9964366051. The next prime is 9964366081. The reversal of 9964366080 is 806634699.

It is not an unprimeable number, because it can be changed into a prime (9964366081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4674 + ... + 141246.

Almost surely, 29964366080 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 9964366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749435360).

9964366080 is an abundant number, since it is smaller than the sum of its proper divisors (23534504640).

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

9964366080 is a wasteful number, since it uses less digits than its factorization.

9964366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136616 (or 136602 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 9964366080 is about 99821.6713945424. The cubic root of 9964366080 is about 2151.8726126094.

The spelling of 9964366080 in words is "nine billion, nine hundred sixty-four million, three hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 36480 72960 136573 273146 409719 546292 682865 819438 1092584 1365730 1638876 2048595 2185168 2594887 2731460 3277752 4097190 4370336 5189774 5462920 6555504 7784661 8194380 8740672 10379548 10925840 12974435 13111008 15569322 16388760 17481344 20759096 21851680 25948870 26222016 31138644 32777520 34962688 38923305 41518192 43703360 51897740 52444032 62277288 65555040 77846610 83036384 87406720 103795480 104888064 124554576 131110080 155693220 166072768 174813440 207590960 249109152 262220160 311386440 332145536 415181920 498218304 524440320 622772880 664291072 830363840 996436608 1245545760 1660727680 1992873216 2491091520 3321455360 4982183040 9964366080