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29617946094 = 23112292179271
BaseRepresentation
bin11011100101010111…
…011111110111101110
32211110010101112221110
4123211113133313232
5441124143233334
621334543212450
72065650250032
oct334527376756
984403345843
1029617946094
1111619616300
1258a6ba7126
132a401980b9
14160d7d61c2
15b8530cae9
hex6e55dfdee

29617946094 has 144 divisors (see below), whose sum is σ = 68060079360. Its totient is φ = 8585438400.

The previous prime is 29617946087. The next prime is 29617946119. The reversal of 29617946094 is 49064971692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109291179 + ... + 109291449.

It is an arithmetic number, because the mean of its divisors is an integer number (472639440).

Almost surely, 229617946094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29617946094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34030039680).

29617946094 is an abundant number, since it is smaller than the sum of its proper divisors (38442133266).

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

29617946094 is a wasteful number, since it uses less digits than its factorization.

29617946094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 29617946094 in words is "twenty-nine billion, six hundred seventeen million, nine hundred forty-six thousand, ninety-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 179 242 271 319 358 363 537 542 638 726 813 841 957 1074 1626 1682 1914 1969 2523 2981 3509 3938 5046 5191 5907 5962 7018 7859 8943 9251 10382 10527 11814 15573 15718 17886 18502 21054 21659 23577 27753 31146 32791 43318 47154 48509 55506 57101 64977 65582 86449 97018 98373 101761 114202 129954 145527 150539 171303 172898 196746 203522 227911 259347 291054 301078 305283 342606 451617 455822 518694 533599 610566 628111 683733 903234 950939 1067198 1256222 1367466 1406761 1600797 1655929 1884333 1901878 2507021 2813522 2852817 3201594 3311858 3768666 4220283 4967787 5014042 5705634 5869589 7521063 8440566 9935574 11739178 15042126 15474371 17608767 18215219 27577231 30948742 35217534 36430438 40796069 46423113 54645657 55154462 81592138 82731693 92846226 109291314 122388207 165463386 170218081 244776414 340436162 448756759 510654243 897513518 1021308486 1346270277 2692540554 4936324349 9872648698 14808973047 29617946094