Search a number
-
+
37085003407 = 313332935591
BaseRepresentation
bin100010100010011100…
…000011111010001111
310112201111222100220201
4202202130003322033
51101422230102112
625011524154331
72452000220314
oct424234037217
9115644870821
1037085003407
1114800576a51
12722b8389a7
1336601908ca
141b1b3b0d0b
15e70b34257
hex8a2703e8f

37085003407 has 8 divisors (see below), whose sum is σ = 37215707040. Its totient is φ = 36954378240.

The previous prime is 37085003387. The next prime is 37085003429. The reversal of 37085003407 is 70430058073.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37085003407 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37085003437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024182 + ... + 1059772.

It is an arithmetic number, because the mean of its divisors is an integer number (4651963380).

Almost surely, 237085003407 is an apocalyptic number.

37085003407 is a deficient number, since it is larger than the sum of its proper divisors (130703633).

37085003407 is a wasteful number, since it uses less digits than its factorization.

37085003407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39233.

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 37085003407 in words is "thirty-seven billion, eighty-five million, three thousand, four hundred seven".

Divisors: 1 313 3329 35591 1041977 11139983 118482439 37085003407