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104261120416 = 2523148195651
BaseRepresentation
bin110000100011001110…
…0100111000110100000
3100222010010200200120101
41201012130213012200
53202011321323131
6115521421352144
710350454621045
oct1410634470640
9328103620511
10104261120416
1140242758a22
1218258a08654
139aa756837b
145090d471cc
152aa338dc61
hex18467271a0

104261120416 has 48 divisors (see below), whose sum is σ = 214335471168. Its totient is φ = 49829824000.

The previous prime is 104261120413. The next prime is 104261120449. The reversal of 104261120416 is 614021162401.

It is not an unprimeable number, because it can be changed into a prime (104261120413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042191 + ... + 1137841.

It is an arithmetic number, because the mean of its divisors is an integer number (4465322316).

Almost surely, 2104261120416 is an apocalyptic number.

104261120416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104261120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107167735584).

104261120416 is an abundant number, since it is smaller than the sum of its proper divisors (110074350752).

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

104261120416 is a wasteful number, since it uses less digits than its factorization.

104261120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97165 (or 97157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 104261120416 its reverse (614021162401), we get a palindrome (718282282817).

The spelling of 104261120416 in words is "one hundred four billion, two hundred sixty-one million, one hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1481 2962 5924 11848 23696 34063 47392 68126 95651 136252 191302 272504 382604 545008 765208 1090016 1530416 2199973 3060832 4399946 8799892 17599784 35199568 70399136 141659131 283318262 566636524 1133273048 2266546096 3258160013 4533092192 6516320026 13032640052 26065280104 52130560208 104261120416