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11170399141152 = 253238786108129
BaseRepresentation
bin1010001010001100111110…
…1011000011110100100000
31110112212202022200221011100
42202203033223003310200
52431003434140004102
635431335512314400
72232014622035316
oct242431753036440
943485668627140
1011170399141152
1136173811157a9
121304a940a2a00
13630496c7b824
142a891622c0b6
1514587b098a1c
hexa28cfac3d20

11170399141152 has 36 divisors (see below), whose sum is σ = 31765822558470. Its totient is φ = 3723466380288.

The previous prime is 11170399141133. The next prime is 11170399141163. The reversal of 11170399141152 is 25114199307111.

11170399141152 is a `hidden beast` number, since 1 + 1 + 1 + 70 + 39 + 91 + 411 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9915470445456 + 1254928695696 = 3148884^2 + 1120236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11170399141098 and 11170399141107.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19393053777 + ... + 19393054352.

Almost surely, 211170399141152 is an apocalyptic number.

11170399141152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11170399141152 is an abundant number, since it is smaller than the sum of its proper divisors (20595423417318).

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

11170399141152 is a wasteful number, since it uses less digits than its factorization.

11170399141152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38786108145 (or 38786108134 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 45.

The spelling of 11170399141152 in words is "eleven trillion, one hundred seventy billion, three hundred ninety-nine million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38786108129 77572216258 116358324387 155144432516 232716648774 310288865032 349074973161 465433297548 620577730064 698149946322 930866595096 1241155460128 1396299892644 1861733190192 2792599785288 3723466380384 5585199570576 11170399141152