Search a number
-
+
47998749740769 = 3223093712
BaseRepresentation
bin10101110100111100101000…
…11011011000111011100001
320021221122011101201122221100
422322132110123120323201
522242402414413201034
6250030153214545013
713052536523040312
oct1272362433307341
9207848141648840
1047998749740769
11143261789a4013
125472590208169
1320a235514b059
14bbd21aaa4609
1558385701a099
hex2ba7946d8ee1

47998749740769 has 9 divisors (see below), whose sum is σ = 69331557425169. Its totient is φ = 31999152637620.

The previous prime is 47998749740731. The next prime is 47998749740863. The reversal of 47998749740769 is 96704794789974.

The square root of 47998749740769 is 6928113.

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

47998749740769 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 8 + 7 + 497 + 40 + 76 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 47998749740769 - 215 = 47998749708001 is a prime.

It is a super-2 number, since 2×479987497407692 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47998749740719) 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, 19629654 + ... + 21939024.

Almost surely, 247998749740769 is an apocalyptic number.

47998749740769 is the 6928113-rd square number.

47998749740769 is the 3464057-th centered octagonal number.

It is an amenable number.

47998749740769 is a deficient number, since it is larger than the sum of its proper divisors (21332807684400).

47998749740769 is an frugal number, since it uses more digits than its factorization.

47998749740769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618748 (or 2309374 counting only the distinct ones).

The product of its (nonzero) digits is 48393096192, while the sum is 90.

The spelling of 47998749740769 in words is "forty-seven trillion, nine hundred ninety-eight billion, seven hundred forty-nine million, seven hundred forty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 2309371 6928113 20784339 5333194415641 15999583246923 47998749740769