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1377335606656 = 27172921826439
BaseRepresentation
bin10100000010101111100…
…110010111110110000000
311212200010212221022200011
4110002233212113312000
5140031240403403111
62532423402034304
7201336442326352
oct24025746276600
94780125838604
101377335606656
114911410520a9
121a2b2aaa8994
139cb61231739
144a94051d0d2
1525c63544021
hex140af997d80

1377335606656 has 64 divisors (see below), whose sum is σ = 3005500788000. Its totient is φ = 625807630336.

The previous prime is 1377335606651. The next prime is 1377335606659. The reversal of 1377335606656 is 6566065337731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 1377335606656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377335606651) 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 7 ways as a sum of consecutive naturals, for example, 10850116 + ... + 10976323.

Almost surely, 21377335606656 is an apocalyptic number.

1377335606656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1377335606656 is an abundant number, since it is smaller than the sum of its proper divisors (1628165181344).

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

1377335606656 is a wasteful number, since it uses less digits than its factorization.

1377335606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826499 (or 21826487 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 58.

The spelling of 1377335606656 in words is "one trillion, three hundred seventy-seven billion, three hundred thirty-five million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1856 1972 2176 3712 3944 7888 15776 31552 63104 21826439 43652878 87305756 174611512 349223024 371049463 632966731 698446048 742098926 1265933462 1396892096 1484197852 2531866924 2793784192 2968395704 5063733848 5936791408 10127467696 10760434427 11873582816 20254935392 21520868854 23747165632 40509870784 43041737708 47494331264 81019741568 86083475416 172166950832 344333901664 688667803328 1377335606656