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1070216428032 = 2932232251829
BaseRepresentation
bin11111001001011011101…
…11101011101000000000
310210022102020000112210200
433210231313223220000
5120013300401144112
62135352312125200
7140214650354133
oct17445567535000
93708366015720
101070216428032
11382970300604
121534b9396800
1379bc84ccacb
1439b27aba21a
151cc8ad78cdc
hexf92ddeba00

1070216428032 has 60 divisors (see below), whose sum is σ = 3088717087170. Its totient is φ = 356738807808.

The previous prime is 1070216428003. The next prime is 1070216428051. The reversal of 1070216428032 is 2308246120701.

It is a happy number.

1070216428032 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 1 + 642 + 8 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1068295885056 + 1920542976 = 1033584^2 + 43824^2 .

It is a super-2 number, since 2×10702164280322 (a number of 25 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, 116121307 + ... + 116130522.

Almost surely, 21070216428032 is an apocalyptic number.

1070216428032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1070216428032 is an abundant number, since it is smaller than the sum of its proper divisors (2018500659138).

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

1070216428032 is an equidigital number, since it uses as much as digits as its factorization.

1070216428032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232251853 (or 232251834 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1070216428032 in words is "one trillion, seventy billion, two hundred sixteen million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 232251829 464503658 696755487 929007316 1393510974 1858014632 2090266461 2787021948 3716029264 4180532922 5574043896 7432058528 8361065844 11148087792 14864117056 16722131688 22296175584 29728234112 33444263376 44592351168 59456468224 66888526752 89184702336 118912936448 133777053504 178369404672 267554107008 356738809344 535108214016 1070216428032