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10951349940 = 2232560840833
BaseRepresentation
bin10100011001100000…
…00101011010110100
31001021012220012220100
422030300011122310
5134412021144230
65010405234100
7535245636636
oct121460053264
931235805810
1010951349940
11470a82a333
122157702930
131056b2282b
1475c648a56
1544167e660
hex28cc056b4

10951349940 has 36 divisors (see below), whose sum is σ = 33219095364. Its totient is φ = 2920359936.

The previous prime is 10951349933. The next prime is 10951349963. The reversal of 10951349940 is 4994315901.

10951349940 is a `hidden beast` number, since 1 + 0 + 9 + 513 + 4 + 99 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6369955344 + 4581394596 = 79812^2 + 67686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30420237 + ... + 30420596.

It is an arithmetic number, because the mean of its divisors is an integer number (922752649).

Almost surely, 210951349940 is an apocalyptic number.

10951349940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10951349940 is an abundant number, since it is smaller than the sum of its proper divisors (22267745424).

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

10951349940 is a wasteful number, since it uses less digits than its factorization.

10951349940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60840848 (or 60840843 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10951349940 in words is "ten billion, nine hundred fifty-one million, three hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 60840833 121681666 182522499 243363332 304204165 365044998 547567497 608408330 730089996 912612495 1095134994 1216816660 1825224990 2190269988 2737837485 3650449980 5475674970 10951349940