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381978385936 = 2472220732
BaseRepresentation
bin1011000111011111010…
…11111001111000010000
31100111221201201112001021
411203233223321320100
522224242431322221
6451251202245224
736411531465100
oct5435753717020
91314851645037
10381978385936
11137aa5927a84
1262043956814
132a035ab0a94
14146b894b200
159e096c1041
hex58efaf9e10

381978385936 has 45 divisors (see below), whose sum is σ = 860952025101. Its totient is φ = 163697606016.

The previous prime is 381978385931. The next prime is 381978385939. The reversal of 381978385936 is 639583879183.

The square root of 381978385936 is 618044.

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., 370369616400 + 11608769536 = 608580^2 + 107744^2 .

It is not an unprimeable number, because it can be changed into a prime (381978385931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17294196 + ... + 17316268.

Almost surely, 2381978385936 is an apocalyptic number.

381978385936 is the 618044-th square number.

It is an amenable number.

381978385936 is an abundant number, since it is smaller than the sum of its proper divisors (478973639165).

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

381978385936 is an frugal number, since it uses more digits than its factorization.

381978385936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44168 (or 22082 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 70.

The spelling of 381978385936 in words is "three hundred eighty-one billion, nine hundred seventy-eight million, three hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 22073 44146 88292 154511 176584 309022 353168 618044 1081577 1236088 2163154 2472176 4326308 8652616 17305232 487217329 974434658 1948869316 3410521303 3897738632 6821042606 7795477264 13642085212 23873649121 27284170424 47747298242 54568340848 95494596484 190989192968 381978385936