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11428561152 = 28324960313
BaseRepresentation
bin10101010010011001…
…00000000100000000
31002111110212001121200
422221030200010000
5141401202424102
65130013421200
7553132111161
oct125114400400
932443761550
1011428561152
114935141168
12226b49a800
131101959028
147a5b8b768
1546d4e551c
hex2a9320100

11428561152 has 54 divisors (see below), whose sum is σ = 32951365902. Its totient is φ = 3809519616.

The previous prime is 11428561141. The next prime is 11428561201. The reversal of 11428561152 is 25116582411.

11428561152 is a `hidden beast` number, since 1 + 1 + 42 + 8 + 561 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11426754816 + 1806336 = 106896^2 + 1344^2 .

It is a super-2 number, since 2×114285611522 (a number of 21 digits) contains 22 as substring.

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

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, 2477853 + ... + 2482460.

Almost surely, 211428561152 is an apocalyptic number.

11428561152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11428561152 is an abundant number, since it is smaller than the sum of its proper divisors (21522804750).

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

11428561152 is an equidigital number, since it uses as much as digits as its factorization.

11428561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960335 (or 4960318 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The spelling of 11428561152 in words is "eleven billion, four hundred twenty-eight million, five hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4960313 9920626 14880939 19841252 29761878 39682504 44642817 59523756 79365008 89285634 119047512 158730016 178571268 238095024 317460032 357142536 476190048 634920064 714285072 952380096 1269840128 1428570144 1904760192 2857140288 3809520384 5714280576 11428561152