Search a number
-
+
11019607678224 = 243327319340297
BaseRepresentation
bin1010000001011011001111…
…0011010001110100010000
31110000110112101221221021000
42200112303303101310100
52421021124031200344
635234200552102000
72215066102535055
oct240266363216420
943013471857230
1011019607678224
113569431287862
12129b810394900
1361c1b5748212
142a14cd6d502c
151419a2c7ba69
hexa05b3cd1d10

11019607678224 has 80 divisors (see below), whose sum is σ = 31641940728640. Its totient is φ = 3671857163520.

The previous prime is 11019607678223. The next prime is 11019607678231. The reversal of 11019607678224 is 42287670691011.

11019607678224 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 9 + 607 + 6 + 7 + 8 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11019607678223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3490357 + ... + 5849940.

It is an arithmetic number, because the mean of its divisors is an integer number (395524259108).

Almost surely, 211019607678224 is an apocalyptic number.

It is an amenable number.

11019607678224 is an abundant number, since it is smaller than the sum of its proper divisors (20622333050416).

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

11019607678224 is a wasteful number, since it uses less digits than its factorization.

11019607678224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343045 (or 9343033 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11019607678224 in words is "eleven trillion, nineteen billion, six hundred seven million, six hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2731 5462 8193 10924 16386 21848 24579 32772 43696 49158 65544 73737 98316 131088 147474 196632 294948 393264 589896 1179792 9340297 18680594 28020891 37361188 56041782 74722376 84062673 112083564 149444752 168125346 224167128 252188019 336250692 448334256 504376038 672501384 1008752076 1345002768 2017504152 4035008304 25508351107 51016702214 76525053321 102033404428 153050106642 204066808856 229575159963 306100213284 408133617712 459150319926 612200426568 688725479889 918300639852 1224400853136 1377450959778 1836601279704 2754901919556 3673202559408 5509803839112 11019607678224