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137680040670 = 23519397608423
BaseRepresentation
bin1000000000111001011…
…1101011001011011110
3111011101011021201211120
42000032113223023132
54223432042300140
6143125505031410
712642561015324
oct2001627531336
9434334251746
10137680040670
1153431880387
1222824925566
13cca204c0b3
146941485d14
1538ac20b1d0
hex200e5eb2de

137680040670 has 64 divisors (see below), whose sum is σ = 348699962880. Its totient is φ = 34694656128.

The previous prime is 137680040669. The next prime is 137680040671. The reversal of 137680040670 is 76040086731.

137680040670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137680040669) and next prime (137680040671).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137680040671) 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, 77922 + ... + 530501.

It is an arithmetic number, because the mean of its divisors is an integer number (5448436920).

Almost surely, 2137680040670 is an apocalyptic number.

137680040670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137680040670 is an abundant number, since it is smaller than the sum of its proper divisors (211019922210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137680040670 is a wasteful number, since it uses less digits than its factorization.

137680040670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608849.

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 137680040670 in words is "one hundred thirty-seven billion, six hundred eighty million, forty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 397 570 794 1191 1985 2382 3970 5955 7543 11910 15086 22629 37715 45258 75430 113145 226290 608423 1216846 1825269 3042115 3650538 6084230 9126345 11560037 18252690 23120074 34680111 57800185 69360222 115600370 173400555 241543931 346801110 483087862 724631793 1207719655 1449263586 2415439310 3623158965 4589334689 7246317930 9178669378 13768004067 22946673445 27536008134 45893346890 68840020335 137680040670