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11023408032 = 2537131261837
BaseRepresentation
bin10100100010000101…
…11101101110100000
31001110020111011000120
422101002331232200
5140033443024112
65021501520240
7540112264560
oct122102755640
931406434016
1011023408032
11474747667a
122177873080
131068a32060
14768044da0
15447b64e8c
hex2910bdba0

11023408032 has 96 divisors (see below), whose sum is σ = 35614115712. Its totient is φ = 2907270144.

The previous prime is 11023408031. The next prime is 11023408057. The reversal of 11023408032 is 23080432011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110234080322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11023407993 and 11023408011.

It is not an unprimeable number, because it can be changed into a prime (11023408031) 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, 622183 + ... + 639654.

It is an arithmetic number, because the mean of its divisors is an integer number (370980372).

Almost surely, 211023408032 is an apocalyptic number.

11023408032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11023408032 is an abundant number, since it is smaller than the sum of its proper divisors (24590707680).

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

11023408032 is a wasteful number, since it uses less digits than its factorization.

11023408032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261870 (or 1261862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 11023408032 in words is "eleven billion, twenty-three million, four hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 1261837 2523674 3785511 5047348 7571022 8832859 10094696 15142044 16403881 17665718 20189392 26498577 30284088 32807762 35331436 40378784 49211643 52997154 60568176 65615524 70662872 98423286 105994308 114827167 121136352 131231048 141325744 196846572 211988616 229654334 262462096 282651488 344481501 393693144 423977232 459308668 524924192 688963002 787386288 847954464 918617336 1377926004 1574772576 1837234672 2755852008 3674469344 5511704016 11023408032