Search a number
-
+
461476453232172 = 223712894817884791
BaseRepresentation
bin110100011101101011101110…
…0000100010010111000101100
32020111221201101110220000210110
41220323113130010102320230
5440441312234011412142
64313251204514140020
7166126400465316540
oct15073273404227054
92214851343800713
10461476453232172
1112404a079201994
124391128a581610
1316a660730a5411
1481d5818271a20
1538540dcc6599c
hex1a3b5dc112e2c

461476453232172 has 96 divisors (see below), whose sum is σ = 1231815633269760. Its totient is φ = 131720626759680.

The previous prime is 461476453232099. The next prime is 461476453232227. The reversal of 461476453232172 is 271232354674164.

It is a super-2 number, since 2×4614764532321722 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521123097 + ... + 522007887.

It is an arithmetic number, because the mean of its divisors is an integer number (12831412846560).

Almost surely, 2461476453232172 is an apocalyptic number.

461476453232172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

461476453232172 is an abundant number, since it is smaller than the sum of its proper divisors (770339180037588).

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

461476453232172 is a wasteful number, since it uses less digits than its factorization.

461476453232172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890911 (or 890909 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 57.

The spelling of 461476453232172 in words is "four hundred sixty-one trillion, four hundred seventy-six billion, four hundred fifty-three million, two hundred thirty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1289 2578 3867 4817 5156 7734 9023 9634 14451 15468 18046 19268 27069 28902 33719 36092 54138 57804 67438 101157 108276 134876 202314 404628 884791 1769582 2654373 3539164 5308746 6193537 6209113 10617492 12387074 12418226 18580611 18627339 24774148 24836452 37161222 37254678 43463791 74322444 74509356 86927582 130391373 173855164 260782746 521565492 1140495599 2280991198 3421486797 4262038247 4561982396 6842973594 7983469193 8524076494 12786114741 13685947188 15966938386 17048152988 23950407579 25572229482 29834267729 31933876772 47900815158 51144458964 59668535458 89502803187 95801630316 119337070916 179005606374 358011212748 5493767300383 10987534600766 16481301901149 21975069201532 32962603802298 38456371102681 65925207604596 76912742205362 115369113308043 153825484410724 230738226616086 461476453232172