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10955051028 = 2232537972679
BaseRepresentation
bin10100011001111100…
…01101000000010100
31001021110212020211200
422030332031000110
5134413443113103
65011020432500
7535322253165
oct121476150024
931243766750
1010955051028
114711927a89
1221589a8730
13105781a31c
1475cd2d76c
15441b610a3
hex28cf8d014

10955051028 has 72 divisors (see below), whose sum is σ = 28571961600. Its totient is φ = 3537383616.

The previous prime is 10955051017. The next prime is 10955051059. The reversal of 10955051028 is 82015055901.

It is a happy number.

10955051028 is a `hidden beast` number, since 1 + 0 + 95 + 50 + 510 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10955050983 and 10955051001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114393 + ... + 187071.

It is an arithmetic number, because the mean of its divisors is an integer number (396832800).

Almost surely, 210955051028 is an apocalyptic number.

10955051028 is a gapful number since it is divisible by the number (18) 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 10955051028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285980800).

10955051028 is an abundant number, since it is smaller than the sum of its proper divisors (17616910572).

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

10955051028 is a wasteful number, since it uses less digits than its factorization.

10955051028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72821 (or 72816 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 10955051028 in words is "ten billion, nine hundred fifty-five million, fifty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 79 106 158 159 212 237 316 318 474 477 636 711 948 954 1422 1908 2844 4187 8374 12561 16748 25122 37683 50244 72679 75366 145358 150732 218037 290716 436074 654111 872148 1308222 2616444 3851987 5741641 7703974 11483282 11555961 15407948 17224923 22966564 23111922 34449846 34667883 46223844 51674769 68899692 69335766 103349538 138671532 206699076 304306973 608613946 912920919 1217227892 1825841838 2738762757 3651683676 5477525514 10955051028