Search a number
-
+
146117486076 = 223191993220433
BaseRepresentation
bin1000100000010101000…
…1111110010111111100
3111222011011211101000120
42020011101332113330
54343222034023301
6151043032454540
713361633065452
oct2100521762774
9458134741016
10146117486076
1156a71569a61
122439a54a450
1310a180b4643
147101ca09d2
153c02d14e36
hex220547e5fc

146117486076 has 48 divisors (see below), whose sum is σ = 360688608000. Its totient is φ = 45910478592.

The previous prime is 146117486051. The next prime is 146117486111. The reversal of 146117486076 is 670684711641.

146117486076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564845 + ... + 1655588.

It is an arithmetic number, because the mean of its divisors is an integer number (7514346000).

Almost surely, 2146117486076 is an apocalyptic number.

It is an amenable number.

146117486076 is an abundant number, since it is smaller than the sum of its proper divisors (214571121924).

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

146117486076 is a wasteful number, since it uses less digits than its factorization.

146117486076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220658 (or 3220656 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 146117486076 in words is "one hundred forty-six billion, one hundred seventeen million, four hundred eighty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 398 597 796 1194 2388 3781 7562 11343 15124 22686 45372 3220433 6440866 9661299 12881732 19322598 38645196 61188227 122376454 183564681 244752908 367129362 640866167 734258724 1281732334 1922598501 2563464668 3845197002 7690394004 12176457173 24352914346 36529371519 48705828692 73058743038 146117486076