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11012266016532 = 22331110389995963
BaseRepresentation
bin1010000000111111111000…
…1101000011111100010100
31102222202120202022212202000
42200033332031003330110
52420411110100012112
635230544250515300
72214416134460424
oct240177615037424
942882522285660
1011012266016532
113566304093760
12129a301735b30
1361b5b57184c1
142a0dd463c484
151416c34747dc
hexa03fe343f14

11012266016532 has 96 divisors (see below), whose sum is σ = 31448189660160. Its totient is φ = 3304651724640.

The previous prime is 11012266016473. The next prime is 11012266016533. The reversal of 11012266016532 is 23561066221011.

11012266016532 is a `hidden beast` number, since 1 + 1 + 0 + 12 + 2 + 6 + 601 + 6 + 5 + 32 = 666.

11012266016532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012266016533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44875618 + ... + 45120345.

It is an arithmetic number, because the mean of its divisors is an integer number (327585308960).

Almost surely, 211012266016532 is an apocalyptic number.

11012266016532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012266016532 is an abundant number, since it is smaller than the sum of its proper divisors (20435923643628).

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

11012266016532 is a wasteful number, since it uses less digits than its factorization.

11012266016532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89996090 (or 89996082 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11012266016532 in words is "eleven trillion, twelve billion, two hundred sixty-six million, sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 103 108 132 198 206 297 309 396 412 594 618 927 1133 1188 1236 1854 2266 2781 3399 3708 4532 5562 6798 10197 11124 13596 20394 30591 40788 61182 122364 89995963 179991926 269987889 359983852 539975778 809963667 989955593 1079951556 1619927334 1979911186 2429891001 2969866779 3239854668 3959822372 4859782002 5939733558 8909600337 9269584189 9719564004 11879467116 17819200674 18539168378 26728801011 27808752567 35638401348 37078336756 53457602022 55617505134 83426257701 101965426079 106915204044 111235010268 166852515402 203930852158 250278773103 305896278237 333705030804 407861704316 500557546206 611792556474 917688834711 1001115092412 1223585112948 1835377669422 2753066504133 3670755338844 5506133008266 11012266016532