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6461125104 = 2437219144583
BaseRepresentation
bin1100000010001110…
…01111000111110000
3121200021202011101210
412001013033013300
5101213022000404
62545044200120
7316053441300
oct60107170760
917607664353
106461125104
112816155a15
121303999040
137bc78c465
14454165600
1527c372689
hex1811cf1f0

6461125104 has 120 divisors (see below), whose sum is σ = 20438394240. Its totient is φ = 1748863872.

The previous prime is 6461125103. The next prime is 6461125147. The reversal of 6461125104 is 4015211646.

It is a super-2 number, since 2×64611251042 = 83492275219078021632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461125103) 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, 27604 + ... + 116979.

It is an arithmetic number, because the mean of its divisors is an integer number (170319952).

Almost surely, 26461125104 is an apocalyptic number.

It is an amenable number.

6461125104 is an abundant number, since it is smaller than the sum of its proper divisors (13977269136).

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

6461125104 is a wasteful number, since it uses less digits than its factorization.

6461125104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144627 (or 144614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6461125104 is about 80381.1240528521. The cubic root of 6461125104 is about 1862.5275984319.

It can be divided in two parts, 646 and 1125104, that added together give a triangular number (1125750 = T1500).

The spelling of 6461125104 in words is "six billion, four hundred sixty-one million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688 144583 289166 433749 578332 867498 1012081 1156664 1734996 2024162 2313328 2747077 3036243 3469992 4048324 5494154 6072486 6939984 7084567 8096648 8241231 10988308 12144972 14169134 16193296 16482462 19229539 21253701 21976616 24289944 28338268 32964924 38459078 42507402 43953232 48579888 56676536 57688617 65929848 76918156 85014804 113353072 115377234 131859696 134606773 153836312 170029608 230754468 269213546 307672624 340059216 403820319 461508936 538427092 807640638 923017872 1076854184 1615281276 2153708368 3230562552 6461125104