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1034215504532 = 227259733122011
BaseRepresentation
bin11110000110011000000…
…11000011101010010100
310122212111020221010221122
433003030003003222110
5113421033132121112
62111040111303112
7134501552512400
oct17031403035224
93585436833848
101034215504532
11369676765971
1214853081aa98
13766abb07802
14380b06a2100
151bd804d3872
hexf0cc0c3a94

1034215504532 has 72 divisors (see below), whose sum is σ = 2143989983520. Its totient is φ = 435124751040.

The previous prime is 1034215504459. The next prime is 1034215504583. The reversal of 1034215504532 is 2354055124301.

It is a junction number, because it is equal to n+sod(n) for n = 1034215504492 and 1034215504501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8415407 + ... + 8537417.

It is an arithmetic number, because the mean of its divisors is an integer number (29777638660).

Almost surely, 21034215504532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034215504532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071994991760).

1034215504532 is an abundant number, since it is smaller than the sum of its proper divisors (1109774478988).

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

1034215504532 is a wasteful number, since it uses less digits than its factorization.

1034215504532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122821 (or 122812 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 1034215504532 in words is "one trillion, thirty-four billion, two hundred fifteen million, five hundred four thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 733 826 1466 1652 2891 2932 5131 5782 10262 11564 20524 35917 43247 71834 86494 122011 143668 172988 244022 302729 488044 605458 854077 1210916 1708154 2119103 3416308 4238206 5978539 7198649 8476412 11957078 14397298 23914156 28794596 50390543 89434063 100781086 178868126 201562172 352733801 357736252 626038441 705467602 1252076882 1410935204 2504153764 4382269087 5276609717 8764538174 10553219434 17529076348 21106438868 36936268019 73872536038 147745072076 258553876133 517107752266 1034215504532