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46145854164 = 2236757395341
BaseRepresentation
bin101010111110100000…
…011101101011010100
311102002222120021110210
4222332200131223110
51224001314313124
633111001445420
73222352200654
oct527640355324
9142088507423
1046145854164
111863014a263
128b3a1a0870
134475428167
14233a906364
151301330a29
hexabe81dad4

46145854164 has 24 divisors (see below), whose sum is σ = 109280731168. Its totient is φ = 15152369760.

The previous prime is 46145854147. The next prime is 46145854169.

46145854164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461458541642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46145854169) 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 7 ways as a sum of consecutive naturals, for example, 28696867 + ... + 28698474.

Almost surely, 246145854164 is an apocalyptic number.

It is an amenable number.

46145854164 is an abundant number, since it is smaller than the sum of its proper divisors (63134877004).

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

46145854164 is a wasteful number, since it uses less digits than its factorization.

46145854164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57395415 (or 57395413 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 46145854164 in words is "forty-six billion, one hundred forty-five million, eight hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 57395341 114790682 172186023 229581364 344372046 688744092 3845487847 7690975694 11536463541 15381951388 23072927082 46145854164