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138356301507 = 31713719801961
BaseRepresentation
bin1000000011011010101…
…1011001111011000011
3111020010021210100022020
42000312223121323003
54231323203122012
6143320543412523
712665412105264
oct2006653317303
9436107710266
10138356301507
1153749586136
12229932b4143
131007c199138
1469a720096b
1538eb78ea8c
hex2036ad9ec3

138356301507 has 16 divisors (see below), whose sum is σ = 196752294432. Its totient is φ = 86178129920.

The previous prime is 138356301467. The next prime is 138356301553. The reversal of 138356301507 is 705103653831.

138356301507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138356301507 - 216 = 138356235971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138356301557) 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, 9893994 + ... + 9907967.

It is an arithmetic number, because the mean of its divisors is an integer number (12297018402).

Almost surely, 2138356301507 is an apocalyptic number.

138356301507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

138356301507 is a deficient number, since it is larger than the sum of its proper divisors (58395992925).

138356301507 is a wasteful number, since it uses less digits than its factorization.

138356301507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19802118.

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 138356301507 in words is "one hundred thirty-eight billion, three hundred fifty-six million, three hundred one thousand, five hundred seven".

Divisors: 1 3 17 51 137 411 2329 6987 19801961 59405883 336633337 1009900011 2712868657 8138605971 46118767169 138356301507