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14977420869429 = 3229531082731213
BaseRepresentation
bin1101100111110011001111…
…0110011011111100110101
31222000211100012201200222100
43121330303312123330311
53430342224220310204
651504310540252313
73104040310561434
oct331746366337465
958024305650870
1014977420869429
114854985690597
12181a883b41099
138484983caca5
1439aca7c6111b
151ae8e528ba39
hexd9f33d9bf35

14977420869429 has 24 divisors (see below), whose sum is σ = 22802319366840. Its totient is φ = 9458739868032.

The previous prime is 14977420869407. The next prime is 14977420869431. The reversal of 14977420869429 is 92496802477941.

14977420869429 is a `hidden beast` number, since 1 + 4 + 97 + 7 + 420 + 8 + 6 + 94 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1499894988804 + 13477525880625 = 1224702^2 + 3671175^2 .

It is not a de Polignac number, because 14977420869429 - 215 = 14977420836661 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14977420869029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541351774 + ... + 541379439.

It is an arithmetic number, because the mean of its divisors is an integer number (950096640285).

Almost surely, 214977420869429 is an apocalyptic number.

It is an amenable number.

14977420869429 is a deficient number, since it is larger than the sum of its proper divisors (7824898497411).

14977420869429 is a wasteful number, since it uses less digits than its factorization.

14977420869429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082731301 (or 1082731298 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 14977420869429 in words is "fourteen trillion, nine hundred seventy-seven billion, four hundred twenty million, eight hundred sixty-nine thousand, four hundred twenty-nine".

Divisors: 1 3 9 29 53 87 159 261 477 1537 4611 13833 1082731213 3248193639 9744580917 31399205177 57384754289 94197615531 172154262867 282592846593 516462788601 1664157874381 4992473623143 14977420869429