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901986803157 = 311523360714489
BaseRepresentation
bin11010010000000101001…
…10100101110111010101
310012020012000022010210110
431020002212211313111
5104234232110200112
61530211135313233
7122111034216366
oct15100246456725
93166160263713
10901986803157
11318592043480
1212698967b819
136709829278b
1431929207b6d
15186e1b8413c
hexd2029a5dd5

901986803157 has 32 divisors (see below), whose sum is σ = 1314944547840. Its totient is φ = 545424520320.

The previous prime is 901986803153. The next prime is 901986803161. The reversal of 901986803157 is 751308689109.

It is an interprime number because it is at equal distance from previous prime (901986803153) and next prime (901986803161).

It is not a de Polignac number, because 901986803157 - 22 = 901986803153 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 901986803097 and 901986803106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901986803153) 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 31 ways as a sum of consecutive naturals, for example, 62245969 + ... + 62260457.

It is an arithmetic number, because the mean of its divisors is an integer number (41092017120).

Almost surely, 2901986803157 is an apocalyptic number.

It is an amenable number.

901986803157 is a deficient number, since it is larger than the sum of its proper divisors (412957744683).

901986803157 is a wasteful number, since it uses less digits than its factorization.

901986803157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633.

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 901986803157 in words is "nine hundred one billion, nine hundred eighty-six million, eight hundred three thousand, one hundred fifty-seven".

Divisors: 1 3 11 33 523 1569 3607 5753 10821 14489 17259 39677 43467 119031 159379 478137 1886461 5659383 7577747 20751071 22733241 52261823 62253213 83355217 156785469 250065651 574880053 1724640159 27332933429 81998800287 300662267719 901986803157