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1135192464644 = 227217536428189
BaseRepresentation
bin10000100001001110101…
…111100101110100000100
311000112010111220012112012
4100201032233211310010
5122044333232332034
62225300014113352
7145005061512200
oct20411657456404
94015114805465
101135192464644
113a8483608617
121640117ab858
1383081b48454
143cd2d393b00
151e7e039ccce
hex1084ebe5d04

1135192464644 has 72 divisors (see below), whose sum is σ = 2493032071320. Its totient is φ = 449253202944.

The previous prime is 1135192464643. The next prime is 1135192464647. The reversal of 1135192464644 is 4464642915311.

It can be written as a sum of positive squares in 4 ways, for example, as 808042783744 + 327149680900 = 898912^2 + 571970^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1135192464592 and 1135192464601.

It is not an unprimeable number, because it can be changed into a prime (1135192464643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3037499 + ... + 3390690.

It is an arithmetic number, because the mean of its divisors is an integer number (34625445435).

Almost surely, 21135192464644 is an apocalyptic number.

1135192464644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1135192464644 is an abundant number, since it is smaller than the sum of its proper divisors (1357839606676).

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

1135192464644 is a wasteful number, since it uses less digits than its factorization.

1135192464644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428277 (or 6428268 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 50.

The spelling of 1135192464644 in words is "one trillion, one hundred thirty-five billion, one hundred ninety-two million, four hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 212 238 371 476 742 833 901 1484 1666 1802 2597 3332 3604 5194 6307 10388 12614 25228 44149 88298 176596 6428189 12856378 25712756 44997323 89994646 109279213 179989292 218558426 314981261 340694017 437116852 629962522 681388034 764954491 1259925044 1362776068 1529908982 2384858119 3059817964 4769716238 5354681437 5791798289 9539432476 10709362874 11583596578 16694006833 21418725748 23167193156 33388013666 40542588023 66776027332 81085176046 162170352092 283798116161 567596232322 1135192464644