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47939978304 = 263430412
BaseRepresentation
bin101100101001011100…
…100000010001000000
311120202000112020010000
4230221130200101000
51241140113301204
634005012040000
73314666043411
oct545134402100
9146660466100
1047939978304
1119370960289
12935b003000
1346a003b88a
14246accd808
1513a8ac8039
hexb29720440

47939978304 has 105 divisors (see below), whose sum is σ = 142155860341. Its totient is φ = 15974737920.

The previous prime is 47939978287. The next prime is 47939978311. The reversal of 47939978304 is 40387993974.

The square root of 47939978304 is 218952.

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

47939978304 is a `hidden beast` number, since 479 + 3 + 99 + 78 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46936355904 + 1003622400 = 216648^2 + 31680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15763024 + ... + 15766064.

Almost surely, 247939978304 is an apocalyptic number.

47939978304 is the 218952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47939978304

47939978304 is an abundant number, since it is smaller than the sum of its proper divisors (94215882037).

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

47939978304 is an frugal number, since it uses more digits than its factorization.

47939978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 47939978304 in words is "forty-seven billion, nine hundred thirty-nine million, nine hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3041 5184 6082 9123 12164 18246 24328 27369 36492 48656 54738 72984 82107 97312 109476 145968 164214 194624 218952 246321 291936 328428 437904 492642 583872 656856 875808 985284 1313712 1751616 1970568 2627424 3941136 5254848 7882272 9247681 15764544 18495362 27743043 36990724 55486086 73981448 83229129 110972172 147962896 166458258 221944344 249687387 295925792 332916516 443888688 499374774 591851584 665833032 749062161 887777376 998749548 1331666064 1498124322 1775554752 1997499096 2663332128 2996248644 3994998192 5326664256 5992497288 7989996384 11984994576 15979992768 23969989152 47939978304