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211104334432 = 2529619367501
BaseRepresentation
bin1100010010011011001…
…1001000001001100000
3202011220020001022200001
43010212303020021200
511424320202200212
6240551402305344
721152235143605
oct3044663101140
9664806038601
10211104334432
118158a990aa2
1234ab64b8254
1316ba3a47174
14a308b906ac
155758272657
hex3126cc8260

211104334432 has 48 divisors (see below), whose sum is σ = 430638843600. Its totient is φ = 101747520000.

The previous prime is 211104334423. The next prime is 211104334433. The reversal of 211104334432 is 234433401112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211104334432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211104334433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390682 + ... + 758182.

It is an arithmetic number, because the mean of its divisors is an integer number (8971642575).

Almost surely, 2211104334432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211104334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215319421800).

211104334432 is an abundant number, since it is smaller than the sum of its proper divisors (219534509168).

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

211104334432 is a wasteful number, since it uses less digits than its factorization.

211104334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368159 (or 368151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 211104334432 its reverse (234433401112), we get a palindrome (445537735544).

The spelling of 211104334432 in words is "two hundred eleven billion, one hundred four million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 619 928 1238 2476 4952 9904 17951 19808 35902 71804 143608 287216 367501 574432 735002 1470004 2940008 5880016 10657529 11760032 21315058 42630116 85260232 170520464 227483119 341040928 454966238 909932476 1819864952 3639729904 6597010451 7279459808 13194020902 26388041804 52776083608 105552167216 211104334432