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13148769424 = 2471923131039
BaseRepresentation
bin11000011111011101…
…00100110010010000
31020221100201200202011
430033232210302100
5203412041110144
610012423432304
7643560460510
oct141756446220
936840650664
1013148769424
11563815709a
12266b5b5694
13131715c74b
148ca413840
1551e53ba34
hex30fba4c90

13148769424 has 120 divisors (see below), whose sum is σ = 30856001280. Its totient is φ = 5316420096.

The previous prime is 13148769373. The next prime is 13148769433. The reversal of 13148769424 is 42496784131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12654697 + ... + 12655735.

It is an arithmetic number, because the mean of its divisors is an integer number (257133344).

Almost surely, 213148769424 is an apocalyptic number.

13148769424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13148769424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428000640).

13148769424 is an abundant number, since it is smaller than the sum of its proper divisors (17707231856).

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

13148769424 is a wasteful number, since it uses less digits than its factorization.

13148769424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1380 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The spelling of 13148769424 in words is "thirteen billion, one hundred forty-eight million, seven hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 313 361 532 626 722 1039 1064 1252 1444 2078 2128 2191 2504 2527 2888 4156 4382 5008 5054 5776 5947 7273 8312 8764 10108 11894 14546 16624 17528 19741 20216 23788 29092 35056 39482 40432 41629 47576 58184 78964 83258 95152 112993 116368 138187 157928 166516 225986 276374 315856 325207 333032 375079 451972 552748 650414 666064 750158 790951 903944 1105496 1300828 1500316 1581902 1807888 2210992 2276449 2601656 2625553 3000632 3163804 4552898 5203312 5251106 6001264 6178933 6327608 9105796 10502212 12357866 12655216 18211592 21004424 24715732 36423184 42008848 43252531 49431464 86505062 98862928 117399727 173010124 234799454 346020248 469598908 692040496 821798089 939197816 1643596178 1878395632 3287192356 6574384712 13148769424