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37114116304 = 2417136448957
BaseRepresentation
bin100010100100001011…
…000111100011010000
310112210112202110022011
4202210023013203100
51102002203210204
625014444152304
72452502532466
oct424413074320
9115715673264
1037114116304
1114815a509a1
127239538694
133666214b85
141b211cc836
15e73485304
hex8a42c78d0

37114116304 has 20 divisors (see below), whose sum is σ = 76138518564. Its totient is φ = 17465466368.

The previous prime is 37114116301. The next prime is 37114116311. The reversal of 37114116304 is 40361141173.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17148426304 + 19965690000 = 130952^2 + 141300^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37114116301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68224207 + ... + 68224750.

Almost surely, 237114116304 is an apocalyptic number.

37114116304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

37114116304 is an abundant number, since it is smaller than the sum of its proper divisors (39024402260).

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

37114116304 is a wasteful number, since it uses less digits than its factorization.

37114116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136448982 (or 136448976 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 37114116304 its reverse (40361141173), we get a palindrome (77475257477).

The spelling of 37114116304 in words is "thirty-seven billion, one hundred fourteen million, one hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 136448957 272897914 545795828 1091591656 2183183312 2319632269 4639264538 9278529076 18557058152 37114116304