Search a number
-
+
47904730956 = 22328919977487
BaseRepresentation
bin101100100111010110…
…000010111101001100
311120122120012110211200
4230213112002331030
51241102102342311
634001312345500
73314060331435
oct544726027514
9146576173750
1047904730956
1119352a76445
12934b245290
13469594a364
14246635648c
1513a5964556
hexb27582f4c

47904730956 has 72 divisors (see below), whose sum is σ = 122530786560. Its totient is φ = 15778811136.

The previous prime is 47904730949. The next prime is 47904730957. The reversal of 47904730956 is 65903740974.

It is a happy number.

47904730956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47904730957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6394645 + ... + 6402131.

It is an arithmetic number, because the mean of its divisors is an integer number (1701816480).

Almost surely, 247904730956 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 47904730956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61265393280).

47904730956 is an abundant number, since it is smaller than the sum of its proper divisors (74626055604).

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

47904730956 is a wasteful number, since it uses less digits than its factorization.

47904730956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 47904730956 in words is "forty-seven billion, nine hundred four million, seven hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 1997 3204 3994 5991 7487 7988 11982 14974 17973 22461 23964 29948 35946 44922 67383 71892 89844 134766 177733 269532 355466 533199 666343 710932 1066398 1332686 1599597 1999029 2132796 2665372 3199194 3998058 5997087 6398388 7996116 11994174 14951539 23988348 29903078 44854617 59806156 89709234 134563851 179418468 269127702 538255404 1330686971 2661373942 3992060913 5322747884 7984121826 11976182739 15968243652 23952365478 47904730956