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10245432123633 = 373741955635657
BaseRepresentation
bin1001010100010111001101…
…0101111010000011110001
31100021110020210001221120110
42111011303111322003301
52320330121110424013
633442404143131533
72105131234103250
oct225056325720361
940243223057513
1010245432123633
1132a0077377133
1211957725a3ba9
135941a8a66895
14275c4b006797
1512b791c122c3
hex9517357a0f1

10245432123633 has 64 divisors (see below), whose sum is σ = 16078033520640. Its totient is φ = 5680681155072.

The previous prime is 10245432123613. The next prime is 10245432123709. The reversal of 10245432123633 is 33632123454201.

10245432123633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10245432123633 - 232 = 10241137156337 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10245432123591 and 10245432123600.

It is not an unprimeable number, because it can be changed into a prime (10245432123613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811104141 + ... + 1811109797.

It is an arithmetic number, because the mean of its divisors is an integer number (251219273760).

Almost surely, 210245432123633 is an apocalyptic number.

It is an amenable number.

10245432123633 is a deficient number, since it is larger than the sum of its proper divisors (5832601397007).

10245432123633 is a wasteful number, since it uses less digits than its factorization.

10245432123633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686.

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 10245432123633 its reverse (33632123454201), we get a palindrome (43877555577834).

The spelling of 10245432123633 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-two million, one hundred twenty-three thousand, six hundred thirty-three".

Divisors: 1 3 7 21 37 111 259 419 777 1257 2933 5563 5657 8799 15503 16689 16971 38941 39599 46509 108521 116823 118797 205831 209309 325563 617493 627927 1440817 1465163 2330897 2370283 4322451 4395489 6992691 7110849 16316279 16591981 31469891 48948837 49775943 86243189 87700471 94409673 220289237 258729567 263101413 603702323 613903297 660867711 1164385967 1811106969 1841709891 3493157901 8150701769 13185884329 24452105307 39557652987 92301190303 276903570909 487877720173 1463633160519 3415144041211 10245432123633