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413661926048 = 2577935366221
BaseRepresentation
bin1100000010100000010…
…11000001001010100000
31110112201210220010021212
412001100023001022200
523234134423113143
6514011134405252
741612633233130
oct6012013011240
91415653803255
10413661926048
1114a484411678
1268206660828
1330014bab457
14160427d4ac0
15ab60eeb918
hex60502c12a0

413661926048 has 96 divisors (see below), whose sum is σ = 945205148160. Its totient is φ = 174541086720.

The previous prime is 413661926021. The next prime is 413661926101. The reversal of 413661926048 is 840629166314.

It is a super-2 number, since 2×4136619260482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413661925987 and 413661926005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6213578 + ... + 6279798.

It is an arithmetic number, because the mean of its divisors is an integer number (9845886960).

Almost surely, 2413661926048 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 413661926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472602574080).

413661926048 is an abundant number, since it is smaller than the sum of its proper divisors (531543222112).

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

413661926048 is a wasteful number, since it uses less digits than its factorization.

413661926048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66670 (or 66662 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 413661926048 in words is "four hundred thirteen billion, six hundred sixty-one million, nine hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 353 553 632 706 1106 1264 1412 2212 2471 2528 2824 4424 4942 5648 8848 9884 11296 17696 19768 27887 39536 55774 66221 79072 111548 132442 195209 223096 264884 390418 446192 463547 529768 780836 892384 927094 1059536 1561672 1854188 2119072 3123344 3708376 5231459 6246688 7416752 10462918 14833504 20925836 23376013 36620213 41851672 46752026 73240426 83703344 93504052 146480852 163632091 167406688 187008104 292961704 327264182 374016208 585923408 654528364 748032416 1171846816 1309056728 1846705027 2618113456 3693410054 5236226912 7386820108 12926935189 14773640216 25853870378 29547280432 51707740756 59094560864 103415481512 206830963024 413661926048