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146377744713 = 32192576615039
BaseRepresentation
bin1000100001010011001…
…0110010000101001001
3111222211022112212202100
42020110302302011021
54344240200312323
6151124531024013
713401243205134
oct2102462620511
9458738485670
10146377744713
115709546a142
122445173b009
1310a59ca9535
14712868b21b
153c1aac3943
hex2214cb2149

146377744713 has 48 divisors (see below), whose sum is σ = 223811078400. Its totient is φ = 91931811840.

The previous prime is 146377744693. The next prime is 146377744769. The reversal of 146377744713 is 317447773641.

146377744713 is a `hidden beast` number, since 1 + 463 + 7 + 77 + 44 + 71 + 3 = 666.

It is not a de Polignac number, because 146377744713 - 224 = 146360967497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146377744713.

It is not an unprimeable number, because it can be changed into a prime (146377744813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29046448 + ... + 29051486.

It is an arithmetic number, because the mean of its divisors is an integer number (4662730800).

Almost surely, 2146377744713 is an apocalyptic number.

It is an amenable number.

146377744713 is a deficient number, since it is larger than the sum of its proper divisors (77433333687).

146377744713 is a wasteful number, since it uses less digits than its factorization.

146377744713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5979 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 54.

The spelling of 146377744713 in words is "one hundred forty-six billion, three hundred seventy-seven million, seven hundred forty-four thousand, seven hundred thirteen".

Divisors: 1 3 9 19 57 171 257 661 771 1983 2313 4883 5039 5949 12559 14649 15117 37677 43947 45351 95741 113031 169877 287223 509631 861669 1295023 1528893 3227663 3330779 3885069 9682989 9992337 11655207 24605437 29048967 29977011 63284801 73816311 189854403 221448933 569563209 856010203 2568030609 7704091827 16264193857 48792581571 146377744713