Search a number
-
+
1379120173662 = 2371119827189977
BaseRepresentation
bin10100000100011001111…
…101111101001001011110
311212211202020220201101110
4110010121331331021132
5140043414231024122
62533320431322450
7201431612025540
oct24043175751136
94784666821343
101379120173662
11491977425770
121a3348680426
13a0086b7a04a
144aa6d539690
1525d1a04e90c
hex14119f7d25e

1379120173662 has 128 divisors (see below), whose sum is σ = 3624233103360. Its totient is φ = 338947580160.

The previous prime is 1379120173601. The next prime is 1379120173667. The reversal of 1379120173662 is 2663710219731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379120173667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7164418 + ... + 7354394.

It is an arithmetic number, because the mean of its divisors is an integer number (28314321120).

Almost surely, 21379120173662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379120173662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812116551680).

1379120173662 is an abundant number, since it is smaller than the sum of its proper divisors (2245112929698).

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

1379120173662 is a wasteful number, since it uses less digits than its factorization.

1379120173662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190846.

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 1379120173662 in words is "one trillion, three hundred seventy-nine billion, one hundred twenty million, one hundred seventy-three thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 827 1254 1463 1654 2481 2926 4389 4962 5789 8778 9097 11578 15713 17367 18194 27291 31426 34734 47139 54582 63679 94278 109991 127358 172843 189977 191037 219982 329973 345686 379954 382074 518529 569931 659946 1037058 1139862 1209901 1329839 2089747 2419802 2659678 3609563 3629703 3989517 4179494 6269241 7219126 7259406 7979034 10828689 12538482 14628229 21657378 25266941 29256458 39705193 43884687 50533882 75800823 79410386 87769374 119115579 151601646 157110979 238231158 277936351 314221958 471332937 555872702 833809053 942665874 1099776853 1667618106 1728220769 2199553706 2985108601 3299330559 3456441538 5184662307 5970217202 6598661118 8955325803 10369324614 12097545383 17910651606 20895760207 24195090766 32836194611 36292636149 41791520414 62687280621 65672389222 72585272298 98508583833 125374561242 197017167666 229853362277 459706724554 689560086831 1379120173662