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146462461453 = 71117111888817
BaseRepresentation
bin1000100001100111010…
…1111100111000001101
3112000001012221221021101
42020121311330320031
54344423342231303
6151141154503101
713403322244540
oct2103165747015
9460035857241
10146462461453
1157129272080
1224475b94a91
1310a716cb799
147135a20857
153c23259d1d
hex2219d7ce0d

146462461453 has 16 divisors (see below), whose sum is σ = 193343877504. Its totient is φ = 107413263360.

The previous prime is 146462461433. The next prime is 146462461469. The reversal of 146462461453 is 354164264641.

146462461453 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 146462461453 - 25 = 146462461421 is a prime.

It is a super-2 number, since 2×1464624614532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146462461423) by changing a digit.

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, 55943100 + ... + 55945717.

It is an arithmetic number, because the mean of its divisors is an integer number (12083992344).

Almost surely, 2146462461453 is an apocalyptic number.

It is an amenable number.

146462461453 is a deficient number, since it is larger than the sum of its proper divisors (46881416051).

146462461453 is a wasteful number, since it uses less digits than its factorization.

146462461453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111888852.

The product of its digits is 1658880, while the sum is 46.

It can be divided in two parts, 14646 and 2461453, that added together give a 5-th power (2476099 = 195).

The spelling of 146462461453 in words is "one hundred forty-six billion, four hundred sixty-two million, four hundred sixty-one thousand, four hundred fifty-three".

Divisors: 1 7 11 17 77 119 187 1309 111888817 783221719 1230776987 1902109889 8615438909 13314769223 20923208779 146462461453