Search a number
-
+
463856467970 = 257231122924847
BaseRepresentation
bin1101100000000000000…
…00000000000000000010
31122100021221210001021002
412300000000000000002
530044434223433340
6553032005532002
745340536631400
oct6600000000002
91570257701232
10463856467970
111697a1979975
1275a94714002
133498404402c
1418644cc6470
15c0ec9bd715
hex6c00000002

463856467970 has 96 divisors (see below), whose sum is σ = 1003445729280. Its totient is φ = 153774875520.

The previous prime is 463856467957. The next prime is 463856467993. The reversal of 463856467970 is 79764658364.

463856467970 = 3932152 + 3932162 + 3932172.

It is a junction number, because it is equal to n+sod(n) for n = 463856467897 and 463856467906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18656087 + ... + 18680933.

It is an arithmetic number, because the mean of its divisors is an integer number (10452559680).

Almost surely, 2463856467970 is an apocalyptic number.

463856467970 is an abundant number, since it is smaller than the sum of its proper divisors (539589261310).

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

463856467970 is a wasteful number, since it uses less digits than its factorization.

463856467970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26128 (or 26121 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 65.

The spelling of 463856467970 in words is "four hundred sixty-three billion, eight hundred fifty-six million, four hundred sixty-seven thousand, nine hundred seventy".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 1085 1229 1519 2170 2458 3038 6145 7595 8603 12290 15190 17206 24847 38099 43015 49694 60221 76198 86030 120442 124235 173929 190495 248470 266693 301105 347858 380990 533386 602210 770257 869645 1217503 1333465 1540514 1739290 1866851 2435006 2666930 3733702 3851285 5391799 6087515 7702570 9334255 10783598 12175030 18668510 26958995 30536963 37742593 53917990 61073926 75485186 152684815 188712965 213758741 305369630 377425930 427517482 946645853 1068793705 1496311187 1893291706 2137587410 2992622374 4733229265 6626520971 7481555935 9466458530 13253041942 14963111870 33132604855 46385646797 66265209710 92771293594 231928233985 463856467970