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83253153040 = 2457901131713
BaseRepresentation
bin100110110001001000…
…1100100110100010000
321221220001111101000121
41031202101210310100
52331000301344130
6102125044000024
76005043060541
oct1154221446420
9257801441017
1083253153040
1132342264112
1214175390014
137b0a0c3c45
14405ac3c4c8
152273dbad7a
hex1362464d10

83253153040 has 40 divisors (see below), whose sum is σ = 193589549208. Its totient is φ = 33296793600.

The previous prime is 83253153037. The next prime is 83253153059. The reversal of 83253153040 is 4035135238.

It can be written as a sum of positive squares in 4 ways, for example, as 20737152016 + 62516001024 = 144004^2 + 250032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×832531530402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83253152987 and 83253153005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566224 + ... + 697936.

Almost surely, 283253153040 is an apocalyptic number.

83253153040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83253153040 is an abundant number, since it is smaller than the sum of its proper divisors (110336396168).

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

83253153040 is a wasteful number, since it uses less digits than its factorization.

83253153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139627 (or 139621 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 83253153040 its reverse (4035135238), we get a palindrome (87288288278).

The spelling of 83253153040 in words is "eighty-three billion, two hundred fifty-three million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7901 15802 31604 39505 63208 79010 126416 131713 158020 263426 316040 526852 632080 658565 1053704 1317130 2107408 2634260 5268520 10537040 1040664413 2081328826 4162657652 5203322065 8325315304 10406644130 16650630608 20813288260 41626576520 83253153040