Search a number
-
+
20403313738155 = 3252920341768631
BaseRepresentation
bin1001010001110100001000…
…10001001000000110101011
32200020112112000102012211100
410220322010101020012223
510133241441304110110
6111221053011132443
74204043064154035
oct450720421100653
980215460365740
1020403313738155
116556aa6767a07
1223563705a4123
13b5004130458a
14507750574c55
15255b0c647bc0
hex128e844481ab

20403313738155 has 48 divisors (see below), whose sum is σ = 36587098416960. Its totient is φ = 10506003782400.

The previous prime is 20403313738139. The next prime is 20403313738163. The reversal of 20403313738155 is 55183731330402.

20403313738155 is a `hidden beast` number, since 2 + 0 + 403 + 31 + 37 + 38 + 155 = 666.

It is not a de Polignac number, because 20403313738155 - 24 = 20403313738139 is a prime.

It is a super-2 number, since 2×204033137381552 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20403313738155.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26160690 + ... + 26929320.

It is an arithmetic number, because the mean of its divisors is an integer number (762231217020).

Almost surely, 220403313738155 is an apocalyptic number.

20403313738155 is a deficient number, since it is larger than the sum of its proper divisors (16183784678805).

20403313738155 is a wasteful number, since it uses less digits than its factorization.

20403313738155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789012 (or 789009 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 20403313738155 in words is "twenty trillion, four hundred three billion, three hundred thirteen million, seven hundred thirty-eight thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 20341 61023 101705 183069 305115 589889 768631 915345 1769667 2305893 2949445 3843155 5309001 6917679 8848335 11529465 22290299 26545005 34588395 66870897 111451495 200612691 334354485 1003063455 15634723171 46904169513 78173615855 140712508539 234520847565 453406971959 703562542695 1360220915877 2267034859795 4080662747631 6801104579385 20403313738155