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37870716816 = 2432162172
BaseRepresentation
bin100011010001010001…
…010100011110010000
310121202021102202002100
4203101101110132100
51110024400414231
625221512520400
72510320532052
oct432121243620
9117667382070
1037870716816
111507403a079
12740a9b0100
133756bb0a9a
141b9389b8d2
15eb9ad81e6
hex8d1454790

37870716816 has 45 divisors (see below), whose sum is σ = 105991944721. Its totient is φ = 12622793856.

The previous prime is 37870716809. The next prime is 37870716827. The reversal of 37870716816 is 61861707873.

The square root of 37870716816 is 194604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30422336400 + 7448380416 = 174420^2 + 86304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2327140 + ... + 2343356.

Almost surely, 237870716816 is an apocalyptic number.

37870716816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37870716816 is the 194604-th square number.

It is an amenable number.

37870716816 is an abundant number, since it is smaller than the sum of its proper divisors (68121227905).

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

37870716816 is an frugal number, since it uses more digits than its factorization.

37870716816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32448 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 37870716816 in words is "thirty-seven billion, eight hundred seventy million, seven hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16217 32434 48651 64868 97302 129736 145953 194604 259472 291906 389208 583812 778416 1167624 2335248 262991089 525982178 788973267 1051964356 1577946534 2103928712 2366919801 3155893068 4207857424 4733839602 6311786136 9467679204 12623572272 18935358408 37870716816