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26201633472040 = 2351367774428001
BaseRepresentation
bin1011111010100100010110…
…00011100011111000101000
310102202211222212221201102211
411331102023003203320220
511413241421132101130
6131420510402134504
75343001621536205
oct575221303437050
9112684885851384
1026201633472040
118392061024384
122b32076051434
131180a5a1b7bb0
14668247056cac
153068708a4a2a
hex17d48b0e3e28

26201633472040 has 64 divisors (see below), whose sum is σ = 63582353548560. Its totient is φ = 9660158976000.

The previous prime is 26201633472023. The next prime is 26201633472059. The reversal of 26201633472040 is 4027433610262.

It can be written as a sum of positive squares in 8 ways, for example, as 5960326538884 + 20241306933156 = 2441378^2 + 4499034^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 26201633471984 and 26201633472002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36861961 + ... + 37566040.

Almost surely, 226201633472040 is an apocalyptic number.

26201633472040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26201633472040 is an abundant number, since it is smaller than the sum of its proper divisors (37380720076520).

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

26201633472040 is a wasteful number, since it uses less digits than its factorization.

26201633472040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74428702 (or 74428698 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 26201633472040 in words is "twenty-six trillion, two hundred one billion, six hundred thirty-three million, four hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 677 1354 2708 3385 5416 6770 8801 13540 17602 27080 35204 44005 70408 88010 176020 352040 74428001 148856002 297712004 372140005 595424008 744280010 967564013 1488560020 1935128026 2977120040 3870256052 4837820065 7740512104 9675640130 19351280260 38702560520 50387756677 100775513354 201551026708 251938783385 403102053416 503877566770 655040836801 1007755133540 1310081673602 2015510267080 2620163347204 3275204184005 5240326694408 6550408368010 13100816736020 26201633472040