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11072020608 = 273211873739
BaseRepresentation
bin10100100111111000…
…11010000010000000
31001120121221220221100
422103330122002000
5140133414124413
65030355454400
7541242423315
oct122374320200
931517856840
1011072020608
114771959a60
12218bbb7400
131075b22aac
1477069ad0c
1544c068a73
hex293f1a080

11072020608 has 96 divisors (see below), whose sum is σ = 34757377200. Its totient is φ = 3355153920.

The previous prime is 11072020607. The next prime is 11072020621. The reversal of 11072020608 is 80602027011.

11072020608 is a `hidden beast` number, since 1 + 10 + 7 + 20 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11072020607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 424198 + ... + 449541.

Almost surely, 211072020608 is an apocalyptic number.

11072020608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11072020608 is an abundant number, since it is smaller than the sum of its proper divisors (23685356592).

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

11072020608 is a wasteful number, since it uses less digits than its factorization.

11072020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873770 (or 873755 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11072020608 its reverse (80602027011), we get a palindrome (91674047619).

It can be divided in two parts, 110720 and 20608, that added together give a triangular number (131328 = T512).

The spelling of 11072020608 in words is "eleven billion, seventy-two million, twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 873739 1747478 2621217 3494956 5242434 6989912 7863651 9611129 10484868 13979824 15727302 19222258 20969736 27959648 28833387 31454604 38444516 41939472 55919296 57666774 62909208 76889032 83878944 86500161 111838592 115333548 125818416 153778064 167757888 173000322 230667096 251636832 307556128 335515776 346000644 461334192 503273664 615112256 692001288 922668384 1006547328 1230224512 1384002576 1845336768 2768005152 3690673536 5536010304 11072020608