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26481914421664 = 2513292195118901
BaseRepresentation
bin1100000010101110011010…
…00110100010000110100000
310110202122110011000012100211
412001113031012202012200
511432334430042443124
6132153342403423504
75402153345362012
oct601271506420640
9113678404005324
1026481914421664
11848aa0a344229
122b78457684b94
1311a13068c9850
14677a353281b2
1530dcc6ce1e94
hex1815cd1a21a0

26481914421664 has 48 divisors (see below), whose sum is σ = 58082846146920. Its totient is φ = 11800959206400.

The previous prime is 26481914421661. The next prime is 26481914421749. The reversal of 26481914421664 is 46612441918462.

It can be written as a sum of positive squares in 4 ways, for example, as 19755713667600 + 6726200754064 = 4444740^2 + 2593492^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 26481914421599 and 26481914421608.

It is not an unprimeable number, because it can be changed into a prime (26481914421661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097547387 + ... + 1097571514.

Almost surely, 226481914421664 is an apocalyptic number.

It is an amenable number.

26481914421664 is an abundant number, since it is smaller than the sum of its proper divisors (31600931725256).

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

26481914421664 is a wasteful number, since it uses less digits than its factorization.

26481914421664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195118953 (or 2195118945 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 58.

The spelling of 26481914421664 in words is "twenty-six trillion, four hundred eighty-one billion, nine hundred fourteen million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 2195118901 4390237802 8780475604 17560951208 28536545713 35121902416 57073091426 63658448129 70243804832 114146182852 127316896258 228292365704 254633792516 456584731408 509267585032 827559825677 913169462816 1018535170064 1655119651354 2037070340128 3310239302708 6620478605416 13240957210832 26481914421664