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47765850916 = 22726722332
BaseRepresentation
bin101100011111000100…
…010000101100100100
311120021212212122020111
4230133010100230210
51240311024212131
633535431542404
73310453014400
oct543704205444
9146255778214
1047765850916
1119291639853
12931082aa04
134672c42a14
142451b24100
15139867eab1
hexb1f110b24

47765850916 has 81 divisors (see below), whose sum is σ = 99136063089. Its totient is φ = 20078993088.

The previous prime is 47765850889. The next prime is 47765850919. The reversal of 47765850916 is 61905856774.

The square root of 47765850916 is 218554.

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., 9700280100 + 38065570816 = 98490^2 + 195104^2 .

It is not an unprimeable number, because it can be changed into a prime (47765850919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205003536 + ... + 205003768.

Almost surely, 247765850916 is an apocalyptic number.

47765850916 is the 218554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47765850916

47765850916 is an abundant number, since it is smaller than the sum of its proper divisors (51370212173).

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

47765850916 is an equidigital number, since it uses as much as digits as its factorization.

47765850916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 47765850916 in words is "forty-seven billion, seven hundred sixty-five million, eight hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 233 268 466 469 932 938 1631 1876 3262 3283 4489 6524 6566 8978 11417 13132 15611 17956 22834 31222 31423 45668 54289 62444 62846 108578 109277 125692 217156 218554 219961 380023 437108 439922 760046 764939 879844 1045937 1520092 1529878 2091874 2660161 3059756 3637363 4183748 5320322 7274726 7321559 10640644 14549452 14643118 25461541 29286236 50923082 51250913 101846164 102501826 178230787 205003652 243703321 356461574 487406642 712923148 974813284 1705923247 3411846494 6823692988 11941462729 23882925458 47765850916