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7357434136 = 2313531797457
BaseRepresentation
bin1101101101000100…
…11000100100011000
3200222202022101020121
412312202120210120
5110032000343021
63214023203024
7350216105203
oct66642304430
920882271217
107357434136
113136097188
121513ba6474
13903392b30
144db20093a
152d0dc0741
hex1b6898918

7357434136 has 64 divisors (see below), whose sum is σ = 15223269600. Its totient is φ = 3312611328.

The previous prime is 7357434113. The next prime is 7357434209. The reversal of 7357434136 is 6314347537.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7357434092 and 7357434101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982920 + ... + 990376.

Almost surely, 27357434136 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 7357434136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611634800).

7357434136 is an abundant number, since it is smaller than the sum of its proper divisors (7865835464).

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

7357434136 is a wasteful number, since it uses less digits than its factorization.

7357434136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7704 counting only the distinct ones).

The product of its digits is 635040, while the sum is 43.

The square root of 7357434136 is about 85775.4868013001. The cubic root of 7357434136 is about 1944.9515817211.

The spelling of 7357434136 in words is "seven billion, three hundred fifty-seven million, four hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 53 104 106 179 212 358 424 689 716 1378 1432 2327 2756 4654 5512 7457 9308 9487 14914 18616 18974 29828 37948 59656 75896 96941 123331 193882 246662 387764 395221 493324 775528 790442 986648 1334803 1580884 2669606 3161768 5137873 5339212 10275746 10678424 17352439 20551492 34704878 41102984 69409756 70744559 138819512 141489118 282978236 565956472 919679267 1839358534 3678717068 7357434136