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37428616725409 = 713974240242067
BaseRepresentation
bin10001000001010100001110…
…11001111000001110100001
311220112010210122122101020001
420200222013121320032201
514401212301340203114
6211334245200420001
710612062004613650
oct1040520731701641
9156463718571201
1037428616725409
1110a2042941a088
124245b00017601
1317b6670cc7310
149357aa1d3197
1544d90e35b374
hex220a876783a1

37428616725409 has 16 divisors (see below), whose sum is σ = 46540896938368. Its totient is φ = 29308553160192.

The previous prime is 37428616725341. The next prime is 37428616725439. The reversal of 37428616725409 is 90452761682473.

It is a cyclic number.

It is not a de Polignac number, because 37428616725409 - 27 = 37428616725281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37428616725439) 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, 2120112207 + ... + 2120129860.

It is an arithmetic number, because the mean of its divisors is an integer number (2908806058648).

It is a 1-persistent number, because it is pandigital, but 2⋅37428616725409 = 74857233450818 is not.

Almost surely, 237428616725409 is an apocalyptic number.

It is an amenable number.

37428616725409 is a deficient number, since it is larger than the sum of its proper divisors (9112280212959).

37428616725409 is a wasteful number, since it uses less digits than its factorization.

37428616725409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240242184.

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 37428616725409 in words is "thirty-seven trillion, four hundred twenty-eight billion, six hundred sixteen million, seven hundred twenty-five thousand, four hundred nine".

Divisors: 1 7 13 91 97 679 1261 8827 4240242067 29681694469 55123146871 385862028097 411303480499 2879124363493 5346945246487 37428616725409