Search a number
-
+
145661326083 = 33713177149117
BaseRepresentation
bin1000011110101000010…
…1110111001100000011
3111220222101111001011000
42013222011313030003
54341303244413313
6150525455423043
713344423562110
oct2075205671403
9456871431130
10145661326083
1156858026229
1224291824a83
131097473bba0
14709b47b907
153bc7c5b673
hex21ea177303

145661326083 has 128 divisors (see below), whose sum is σ = 285183037440. Its totient is φ = 71292856320.

The previous prime is 145661325977. The next prime is 145661326087. The reversal of 145661326083 is 380623166541.

145661326083 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 1 + 32 + 608 + 3 = 666.

It is not a de Polignac number, because 145661326083 - 28 = 145661325827 is a prime.

It is a super-2 number, since 2×1456613260832 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145661326087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2941041 + ... + 2990157.

It is an arithmetic number, because the mean of its divisors is an integer number (2227992480).

Almost surely, 2145661326083 is an apocalyptic number.

145661326083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

145661326083 is a deficient number, since it is larger than the sum of its proper divisors (139521711357).

145661326083 is a wasteful number, since it uses less digits than its factorization.

145661326083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49234 (or 49228 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 145661326083 in words is "one hundred forty-five billion, six hundred sixty-one million, three hundred twenty-six thousand, eighty-three".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 71 91 117 119 153 189 213 221 273 351 357 459 497 639 663 819 923 1071 1207 1491 1547 1917 1989 2457 2769 3213 3621 4473 4641 5967 6461 8307 8449 10863 13419 13923 15691 19383 24921 25347 32589 41769 47073 49117 58149 76041 109837 141219 147351 174447 228123 329511 343819 423657 442053 638521 834989 988533 1031457 1326159 1915563 2504967 2965599 3094371 3487307 4469647 5746689 5844923 7514901 9283113 10461921 10854857 13408941 17240067 17534769 22544703 24411149 31385763 32564571 40226823 45334991 52604307 59284219 73233447 75983999 94157289 97693713 120680469 136004973 157812921 177852657 219700341 227951997 293081139 317344937 408014919 414989533 533557971 659101023 683855991 770694847 952034811 1224044757 1244968599 1600673913 2051567973 2312084541 2856104433 3734905797 5394863929 6936253623 8568313299 11204717391 16184591787 20808760869 48553775361 145661326083