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104516429628 = 2231321131672731
BaseRepresentation
bin110000101010110101…
…0100010011100111100
3100222202221002201222010
41201111222202130330
53203022201222003
6120003021451220
710360004664552
oct1412552423474
9328687081863
10104516429628
1140363888576
121830a410b10
139b18419500
1450b6c05bd2
152aba9c1003
hex1855aa273c

104516429628 has 144 divisors (see below), whose sum is σ = 268104404736. Its totient is φ = 31671843840.

The previous prime is 104516429621. The next prime is 104516429629. The reversal of 104516429628 is 826924615401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104516429621) 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, 38269023 + ... + 38271753.

It is an arithmetic number, because the mean of its divisors is an integer number (1861836144).

Almost surely, 2104516429628 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 104516429628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134052202368).

104516429628 is an abundant number, since it is smaller than the sum of its proper divisors (163587975108).

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

104516429628 is a wasteful number, since it uses less digits than its factorization.

104516429628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 104516429628 in words is "one hundred four billion, five hundred sixteen million, four hundred twenty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 167 169 226 334 338 339 452 501 507 668 676 678 1002 1014 1356 1469 2004 2028 2171 2731 2938 4342 4407 5462 5876 6513 8193 8684 8814 10924 13026 16386 17628 18871 19097 26052 28223 32772 35503 37742 38194 56446 56613 57291 71006 75484 76388 84669 106509 112892 113226 114582 142012 169338 213018 226452 229164 245323 308603 338676 426036 456077 461539 490646 617206 735969 912154 923078 925809 981292 1234412 1368231 1384617 1471938 1824308 1846156 1851618 2736462 2769234 2943876 3189199 3703236 4011839 5472924 5538468 5929001 6378398 8023678 9567597 11858002 12035517 12756796 16047356 17787003 19135194 23716004 24071034 35574006 38270388 48142068 51536701 52153907 71148012 77077013 103073402 104307814 154154026 154610103 156461721 206146804 208615628 231231039 308308052 309220206 312923442 462462078 618440412 625846884 669977113 924924156 1339954226 2009931339 2679908452 4019862678 8039725356 8709702469 17419404938 26129107407 34838809876 52258214814 104516429628