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137920659919 = 71910289100787
BaseRepresentation
bin1000000001110010110…
…1100100000111001111
3111011222221001110101121
42000130231210013033
54224430142104134
6143205422221411
712651542160220
oct2003455440717
9434887043347
10137920659919
1153545687169
1222891424867
131000cb58a53
1469653dd247
1538c33daab4
hex201cb641cf

137920659919 has 16 divisors (see below), whose sum is σ = 165937363200. Its totient is φ = 111983727744.

The previous prime is 137920659889. The next prime is 137920659923. The reversal of 137920659919 is 919956029731.

It is not a de Polignac number, because 137920659919 - 25 = 137920659887 is a prime.

It is a super-2 number, since 2×1379206599192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137920654919) 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 15 ways as a sum of consecutive naturals, for example, 1318044 + ... + 1418830.

It is an arithmetic number, because the mean of its divisors is an integer number (10371085200).

Almost surely, 2137920659919 is an apocalyptic number.

137920659919 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

137920659919 is a deficient number, since it is larger than the sum of its proper divisors (28016703281).

137920659919 is a wasteful number, since it uses less digits than its factorization.

137920659919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111102.

The product of its (nonzero) digits is 8266860, while the sum is 61.

The spelling of 137920659919 in words is "one hundred thirty-seven billion, nine hundred twenty million, six hundred fifty-nine thousand, nine hundred nineteen".

Divisors: 1 7 19 133 10289 72023 100787 195491 705509 1368437 1914953 13404671 1036997443 7258982101 19702951417 137920659919