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45156817543383 = 3374134293
BaseRepresentation
bin10100100010001111001000…
…00100011010000011010111
312220212221122020220201222000
422101013210010122003113
521404322130242342013
6240012431113010343
712340321014660000
oct1221074404320327
9186787566821860
1045156817543383
111342a9982a3a57
12509383a9b39b3
131c27367490000
14b2185cc361a7
155349747e5973
hex2911e411a0d7

45156817543383 has 400 divisors, whose sum is σ = 87567064706400. Its totient is φ = 22997636520768.

The previous prime is 45156817543223. The next prime is 45156817543399. The reversal of 45156817543383 is 38334571865154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45156817543383 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 6 + 8 + 1 + 7 + 543 + 3 + 83 = 666.

It is not a de Polignac number, because 45156817543383 - 210 = 45156817542359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 45156817543383 = 86713 + 354383 = 237513 + 316683.

It is a self number, because there is not a number n which added to its sum of digits gives 45156817543383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45156816543383) 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 399 ways as a sum of consecutive naturals, for example, 1557131639413 + ... + 1557131639441.

It is an arithmetic number, because the mean of its divisors is an integer number (218917661766).

Almost surely, 245156817543383 is an apocalyptic number.

45156817543383 is a deficient number, since it is larger than the sum of its proper divisors (42410247163017).

45156817543383 is an frugal number, since it uses more digits than its factorization.

45156817543383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 52 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 45156817543383 in words is "forty-five trillion, one hundred fifty-six billion, eight hundred seventeen million, five hundred forty-three thousand, three hundred eighty-three".