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26006215456 = 2513313754503
BaseRepresentation
bin11000001110000101…
…110101101100100000
32111010102021121221001
4120032011311230200
5411230042343311
615540323241344
71610313120064
oct301605655440
974112247831
1026006215456
1110035915651
125059519254
1325b5b3b790
141389c71aa4
15a231d04c1
hex60e175b20

26006215456 has 96 divisors (see below), whose sum is σ = 58456194048. Its totient is φ = 11301534720.

The previous prime is 26006215453. The next prime is 26006215507. The reversal of 26006215456 is 65451260062.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (26006215453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449901 + ... + 504403.

It is an arithmetic number, because the mean of its divisors is an integer number (608918688).

Almost surely, 226006215456 is an apocalyptic number.

26006215456 is a gapful number since it is divisible by the number (26) 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 26006215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228097024).

26006215456 is an abundant number, since it is smaller than the sum of its proper divisors (32449978592).

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

26006215456 is a wasteful number, since it uses less digits than its factorization.

26006215456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54594 (or 54586 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 26006215456 in words is "twenty-six billion, six million, two hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 37 52 62 74 104 124 148 208 248 296 403 416 481 496 592 806 962 992 1147 1184 1612 1924 2294 3224 3848 4588 6448 7696 9176 12896 14911 15392 18352 29822 36704 54503 59644 109006 119288 218012 238576 436024 477152 708539 872048 1417078 1689593 1744096 2016611 2834156 3379186 4033222 5668312 6758372 8066444 11336624 13516744 16132888 21964709 22673248 26215943 27033488 32265776 43929418 52431886 54066976 62514941 64531552 87858836 104863772 125029882 175717672 209727544 250059764 351435344 419455088 500119528 702870688 812694233 838910176 1000239056 1625388466 2000478112 3250776932 6501553864 13003107728 26006215456