Search a number
-
+
47861954790 = 235131394431993
BaseRepresentation
bin101100100100110010…
…110111100011100110
311120112120201012222020
4230210302313203212
51241010130023130
633553143444010
73313030621536
oct544462674346
9146476635866
1047861954790
111933090a041
129338a56606
134689b21010
1424607bd4c6
1513a1d14e10
hexb24cb78e6

47861954790 has 128 divisors (see below), whose sum is σ = 124938616320. Its totient is φ = 11664387072.

The previous prime is 47861954753. The next prime is 47861954813. The reversal of 47861954790 is 9745916874.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24014034 + ... + 24016026.

It is an arithmetic number, because the mean of its divisors is an integer number (976082940).

Almost surely, 247861954790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47861954790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62469308160).

47861954790 is an abundant number, since it is smaller than the sum of its proper divisors (77076661530).

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

47861954790 is a wasteful number, since it uses less digits than its factorization.

47861954790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598.

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 47861954790 in words is "forty-seven billion, eight hundred sixty-one million, nine hundred fifty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 195 278 390 417 443 695 834 886 1329 1390 1807 1993 2085 2215 2658 3614 3986 4170 4430 5421 5759 5979 6645 9035 9965 10842 11518 11958 13290 17277 18070 19930 25909 27105 28795 29895 34554 51818 54210 57590 59790 61577 77727 86385 123154 129545 155454 172770 184731 259090 277027 307885 369462 388635 554054 615770 777270 800501 831081 882899 923655 1385135 1601002 1662162 1765798 1847310 2401503 2648697 2770270 3601351 4002505 4155405 4414495 4803006 5297394 7202702 8005010 8310810 8828990 10804053 11477687 12007515 13243485 18006755 21608106 22955374 24015030 26486970 34433061 36013510 54020265 57388435 68866122 108040530 114776870 122722961 172165305 245445922 344330610 368168883 613614805 736337766 1227229610 1595398493 1840844415 3190796986 3681688830 4786195479 7976992465 9572390958 15953984930 23930977395 47861954790