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11352542544 = 2432719935651
BaseRepresentation
bin10101001001010101…
…00000110101010000
31002022011210220200200
422210222200311100
5141222222330134
65114300215200
7551220006450
oct124452406520
932264726620
1011352542544
1148a623a272
122249b3a500
1310bbc90bc5
14799a3dd60
154669cb499
hex2a4aa0d50

11352542544 has 120 divisors (see below), whose sum is σ = 36334763712. Its totient is φ = 3241382400.

The previous prime is 11352542533. The next prime is 11352542563. The reversal of 11352542544 is 44524525311.

11352542544 is a `hidden beast` number, since 1 + 1 + 352 + 54 + 254 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11352542499 and 11352542508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006119 + ... + 2011769.

Almost surely, 211352542544 is an apocalyptic number.

11352542544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352542544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167381856).

11352542544 is an abundant number, since it is smaller than the sum of its proper divisors (24982221168).

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

11352542544 is a wasteful number, since it uses less digits than its factorization.

11352542544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7656 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 11352542544 in words is "eleven billion, three hundred fifty-two million, five hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1993 3986 5651 5979 7972 11302 11958 13951 15944 16953 17937 22604 23916 27902 31888 33906 35874 39557 41853 45208 47832 50859 55804 67812 71748 79114 83706 90416 95664 101718 111608 118671 125559 135624 143496 158228 167412 203436 223216 237342 251118 271248 286992 316456 334824 356013 406872 474684 502236 632912 669648 712026 813744 949368 1004472 1424052 1898736 2008944 2848104 5696208 11262443 22524886 33787329 45049772 67574658 78837101 90099544 101361987 135149316 157674202 180199088 202723974 236511303 270298632 315348404 405447948 473022606 540597264 630696808 709533909 810895896 946045212 1261393616 1419067818 1621791792 1892090424 2838135636 3784180848 5676271272 11352542544