Search a number
-
+
47270072592 = 24329712726647
BaseRepresentation
bin101100000001100001…
…000001000100010000
311112000022222111020100
4230001201001010100
51233302114310332
633414321412400
73262252662501
oct540141010420
9145008874210
1047270072592
11190577a61a6
1291b279a100
1345c4308372
142405d4aba8
151369d9c67c
hexb01841110

47270072592 has 120 divisors (see below), whose sum is σ = 134711822336. Its totient is φ = 15470880768.

The previous prime is 47270072539. The next prime is 47270072657. The reversal of 47270072592 is 29527007274.

47270072592 is a `hidden beast` number, since 472 + 70 + 0 + 7 + 25 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760613 + ... + 1787259.

Almost surely, 247270072592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47270072592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67355911168).

47270072592 is an abundant number, since it is smaller than the sum of its proper divisors (87441749744).

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

47270072592 is a wasteful number, since it uses less digits than its factorization.

47270072592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26885 (or 26876 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 47270072592 in words is "forty-seven billion, two hundred seventy million, seventy-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 127 144 194 254 291 381 388 508 582 762 776 873 1016 1143 1164 1524 1552 1746 2032 2286 2328 3048 3492 4572 4656 6096 6984 9144 12319 13968 18288 24638 26647 36957 49276 53294 73914 79941 98552 106588 110871 147828 159882 197104 213176 221742 239823 295656 319764 426352 443484 479646 591312 639528 886968 959292 1279056 1773936 1918584 2584759 3384169 3837168 5169518 6768338 7754277 10152507 10339036 13536676 15508554 20305014 20678072 23262831 27073352 30457521 31017108 40610028 41356144 46525662 54146704 60915042 62034216 81220056 93051324 121830084 124068432 162440112 186102648 243660168 328264393 372205296 487320336 656528786 984793179 1313057572 1969586358 2626115144 2954379537 3939172716 5252230288 5908759074 7878345432 11817518148 15756690864 23635036296 47270072592