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29319025360 = 2456113943223
BaseRepresentation
bin11011010011100011…
…001101001011010000
32210200021220210210011
4123103203031023100
5440021132302420
621245144244304
72055360414022
oct332343151320
983607823704
1029319025360
1111485909779
125822a70694
1329c3287621
1415c1c24012
15b68e6395a
hex6d38cd2d0

29319025360 has 80 divisors (see below), whose sum is σ = 69784283520. Its totient is φ = 11452101120.

The previous prime is 29319025319. The next prime is 29319025361. The reversal of 29319025360 is 6352091392.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29319025361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656709 + ... + 699931.

It is an arithmetic number, because the mean of its divisors is an integer number (872303544).

Almost surely, 229319025360 is an apocalyptic number.

29319025360 is a gapful number since it is divisible by the number (20) 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 29319025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34892141760).

29319025360 is an abundant number, since it is smaller than the sum of its proper divisors (40465258160).

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

29319025360 is a wasteful number, since it uses less digits than its factorization.

29319025360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43436 (or 43430 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The spelling of 29319025360 in words is "twenty-nine billion, three hundred nineteen million, twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 139 244 278 305 488 556 610 695 976 1112 1220 1390 2224 2440 2780 4880 5560 8479 11120 16958 33916 42395 43223 67832 84790 86446 135664 169580 172892 216115 339160 345784 432230 678320 691568 864460 1728920 2636603 3457840 5273206 6007997 10546412 12015994 13183015 21092824 24031988 26366030 30039985 42185648 48063976 52732060 60079970 96127952 105464120 120159940 210928240 240319880 366487817 480639760 732975634 1465951268 1832439085 2931902536 3664878170 5863805072 7329756340 14659512680 29319025360