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47242872627433 = 7311013537877759
BaseRepresentation
bin10101011110111100101101…
…01001000010000011101001
320012021101010000120210201021
422233132112221002003221
522143011400343034213
6244251024233052441
712644120265425650
oct1257362651020351
9205241100523637
1047242872627433
1114064653a8510a
12536bb9a557121
132048ca3470452
14b947d26cc197
1556dd6765ad8d
hex2af796a420e9

47242872627433 has 64 divisors (see below), whose sum is σ = 56523798282240. Its totient is φ = 38635584768000.

The previous prime is 47242872627331. The next prime is 47242872627439. The reversal of 47242872627433 is 33472627824274.

It is a happy number.

47242872627433 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 47242872627433 - 221 = 47242870530281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47242872627439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6088779808 + ... + 6088787566.

It is an arithmetic number, because the mean of its divisors is an integer number (883184348160).

Almost surely, 247242872627433 is an apocalyptic number.

It is an amenable number.

47242872627433 is a deficient number, since it is larger than the sum of its proper divisors (9280925654807).

47242872627433 is a wasteful number, since it uses less digits than its factorization.

47242872627433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038.

The product of its digits is 151732224, while the sum is 61.

The spelling of 47242872627433 in words is "forty-seven trillion, two hundred forty-two billion, eight hundred seventy-two million, six hundred twenty-seven thousand, four hundred thirty-three".

Divisors: 1 7 31 101 217 353 707 787 2471 3131 5509 7759 10943 21917 24397 35653 54313 76601 79487 170779 240529 249571 277811 556409 783659 1105243 1683703 1944677 2464097 2738927 5485613 6106333 7736701 8612141 17248679 19172489 24293429 28058911 42744331 60284987 84906737 170054003 189296323 196412377 276631627 594347159 616739633 869826241 1325074261 1936421389 2155535549 4317177431 6088783687 8575580437 15088748843 19118928623 60029063059 66821602019 133832500361 217709090449 467751214133 1523963633143 6748981803919 47242872627433