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29626943164 = 227132311391453
BaseRepresentation
bin11011100101111001…
…110100011010111100
32211110202022122121021
4123211321310122330
5441133444140124
621335504113524
72066116601410
oct334571643274
984422278537
1029626943164
11116237009a5
1258aa0058a4
132a41cc8300
141610a98d40
15b85ed87e4
hex6e5e746bc

29626943164 has 144 divisors (see below), whose sum is σ = 66754652160. Its totient is φ = 11253116160.

The previous prime is 29626943153. The next prime is 29626943167. The reversal of 29626943164 is 46134962692.

It is a happy number.

It is a super-2 number, since 2×296269431642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29626943167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20389462 + ... + 20390914.

Almost surely, 229626943164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29626943164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33377326080).

29626943164 is an abundant number, since it is smaller than the sum of its proper divisors (37127708996).

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

29626943164 is a wasteful number, since it uses less digits than its factorization.

29626943164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1645 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 52.

The spelling of 29626943164 in words is "twenty-nine billion, six hundred twenty-six million, nine hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 139 169 182 217 278 338 364 403 434 556 676 806 868 973 1183 1453 1612 1807 1946 2366 2821 2906 3614 3892 4309 4732 5239 5642 5812 7228 8618 10171 10478 11284 12649 17236 18889 20342 20956 23491 25298 30163 36673 37778 40684 45043 46982 50596 56017 60326 73346 75556 90086 93964 112034 120652 132223 146692 164437 180172 201967 224068 245557 264446 315301 328874 392119 403934 491114 528892 585559 630602 657748 728221 784238 807868 982228 1171118 1261204 1413769 1456442 1568476 1718899 2342236 2625571 2827538 2912884 3437798 4098913 5097547 5251142 5655076 6260977 6875596 7612267 8197826 10195094 10502284 12521954 15224534 16395652 18378997 20390188 25043908 30449068 34132423 36757994 43826839 53285869 68264846 73515988 81392701 87653678 106571738 136529692 162785402 175307356 213143476 238926961 325570804 477853922 569748907 955707844 1058105113 1139497814 2116210226 2278995628 4232420452 7406735791 14813471582 29626943164