Search a number
-
+
13041940626 = 23311131799349
BaseRepresentation
bin11000010010101110…
…00011100010010010
31020122220201020012000
430021113003202102
5203202214100001
65554050014430
7641122444341
oct141127034222
936586636160
1013041940626
115592921030
12263b877416
1312cac97940
148ba165b58
15514e88a86
hex3095c3892

13041940626 has 128 divisors (see below), whose sum is σ = 36052128000. Its totient is φ = 3433466880.

The previous prime is 13041940621. The next prime is 13041940661. The reversal of 13041940626 is 62604914031.

13041940626 is a `hidden beast` number, since 13 + 0 + 4 + 19 + 4 + 0 + 626 = 666.

It is not an unprimeable number, because it can be changed into a prime (13041940621) 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, 81600 + ... + 180948.

It is an arithmetic number, because the mean of its divisors is an integer number (281657250).

Almost surely, 213041940626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13041940626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026064000).

13041940626 is an abundant number, since it is smaller than the sum of its proper divisors (23010187374).

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

13041940626 is a wasteful number, since it uses less digits than its factorization.

13041940626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99401 (or 99395 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13041940626 in words is "thirteen billion, forty-one million, nine hundred forty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 99 102 117 143 153 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 918 1122 1287 1326 1683 1989 2431 2574 3366 3861 3978 4862 5049 5967 7293 7722 10098 11934 14586 21879 43758 65637 99349 131274 198698 298047 596094 894141 1092839 1291537 1688933 1788282 2185678 2583074 2682423 3278517 3377866 3874611 5066799 5364846 6557034 7749222 9835551 10133598 11623833 14206907 15200397 18578263 19671102 21956129 23247666 28413814 29506653 30400794 34871499 37156526 42620721 43912258 45601191 55734789 59013306 65868387 69742998 85241442 91202382 111469578 127862163 131736774 167204367 197605161 241517419 255724326 334408734 383586489 395210322 483034838 501613101 592815483 724552257 767172978 1003226202 1185630966 1449104514 2173656771 4347313542 6520970313 13041940626