Search a number
-
+
11008678320 = 2432526335807
BaseRepresentation
bin10100100000010101…
…10001100110110000
31001102012202210122200
422100022301212300
5140021210201240
65020214103200
7536543136033
oct122012614660
931365683580
1011008678320
11473a125a62
12217294ab00
131065975753
147660cd01a
15446705930
hex2902b19b0

11008678320 has 120 divisors (see below), whose sum is σ = 36991221696. Its totient is φ = 2934027264.

The previous prime is 11008678319. The next prime is 11008678327. The reversal of 11008678320 is 2387680011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11008678327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1892857 + ... + 1898663.

Almost surely, 211008678320 is an apocalyptic number.

11008678320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11008678320 is an abundant number, since it is smaller than the sum of its proper divisors (25982543376).

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

11008678320 is a wasteful number, since it uses less digits than its factorization.

11008678320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11008678320 in words is "eleven billion, eight million, six hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2633 5266 5807 7899 10532 11614 13165 15798 17421 21064 23228 23697 26330 29035 31596 34842 39495 42128 46456 47394 52263 52660 58070 63192 69684 78990 87105 92912 94788 104526 105320 116140 118485 126384 139368 157980 174210 189576 209052 210640 232280 236970 261315 278736 315960 348420 379152 418104 464560 473940 522630 631920 696840 836208 947880 1045260 1393680 1895760 2090520 4181040 15289831 30579662 45869493 61159324 76449155 91738986 122318648 137608479 152898310 183477972 229347465 244637296 275216958 305796620 366955944 458694930 550433916 611593240 688042395 733911888 917389860 1100867832 1223186480 1376084790 1834779720 2201735664 2752169580 3669559440 5504339160 11008678320