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10970952192 = 293215432
BaseRepresentation
bin10100011011110101…
…10111001000000000
31001022120210010010200
422031322313020000
5134432030432232
65012345325200
7535604361234
oct121572671000
931276703120
1010970952192
11471a8a8842
122162196800
13105abc6bb5
147610ac5c4
1544325277c
hex28deb7200

10970952192 has 90 divisors (see below), whose sum is σ = 31683444507. Its totient is φ = 3654614016.

The previous prime is 10970952149. The next prime is 10970952199. The reversal of 10970952192 is 29125907901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5485476096 + 5485476096 = 74064^2 + 74064^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74064.

It is not an unprimeable number, because it can be changed into a prime (10970952199) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7109373 + ... + 7110915.

Almost surely, 210970952192 is an apocalyptic number.

10970952192 is a gapful number since it is divisible by the number (12) 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 10970952192

10970952192 is an abundant number, since it is smaller than the sum of its proper divisors (20712492315).

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

10970952192 is an frugal number, since it uses more digits than its factorization.

10970952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 10970952192 in words is "ten billion, nine hundred seventy million, nine hundred fifty-two thousand, one hundred ninety-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 1543 2304 3086 4608 4629 6172 9258 12344 13887 18516 24688 27774 37032 49376 55548 74064 98752 111096 148128 197504 222192 296256 395008 444384 592512 790016 888768 1185024 1777536 2370048 2380849 3555072 4761698 7110144 7142547 9523396 14285094 19046792 21427641 28570188 38093584 42855282 57140376 76187168 85710564 114280752 152374336 171421128 228561504 304748672 342842256 457123008 609497344 685684512 914246016 1218994688 1371369024 1828492032 2742738048 3656984064 5485476096 10970952192