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29383000944 = 243111091393673
BaseRepresentation
bin11011010111010111…
…010000001101110000
32210211202022002210020
4123113113100031300
5440134022012234
621255351403440
72060065246533
oct332727201560
983752262706
1029383000944
1111508a35560
125840383580
132a035c6cbb
1415ca518a1a
15b6e89e549
hex6d75d0370

29383000944 has 160 divisors (see below), whose sum is σ = 84190444800. Its totient is φ = 8756398080.

The previous prime is 29383000943. The next prime is 29383000979. The reversal of 29383000944 is 44900038392.

It is a happy number.

It is a super-2 number, since 2×293830009442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29383000896 and 29383000905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29383000943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7997892 + ... + 8001564.

It is an arithmetic number, because the mean of its divisors is an integer number (526190280).

Almost surely, 229383000944 is an apocalyptic number.

29383000944 is a gapful number since it is divisible by the number (24) 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 29383000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42095222400).

29383000944 is an abundant number, since it is smaller than the sum of its proper divisors (54807443856).

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

29383000944 is a wasteful number, since it uses less digits than its factorization.

29383000944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 29383000944 in words is "twenty-nine billion, three hundred eighty-three million, nine hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 139 176 218 264 278 327 417 436 528 556 654 834 872 1112 1199 1308 1529 1668 1744 2224 2398 2616 3058 3336 3597 3673 4587 4796 5232 6116 6672 7194 7346 9174 9592 11019 12232 14388 14692 15151 18348 19184 22038 24464 28776 29384 30302 36696 40403 44076 45453 57552 58768 60604 73392 80806 88152 90906 121208 121209 161612 166661 176304 181812 242416 242418 323224 333322 363624 400357 484836 499983 510547 646448 666644 727248 800714 969672 999966 1021094 1201071 1333288 1531641 1601428 1939344 1999932 2042188 2402142 2666576 3063282 3202856 3999864 4084376 4403927 4804284 5616017 6126564 6405712 7999728 8168752 8807854 9608568 11232034 12253128 13211781 16848051 17615708 19217136 22464068 24506256 26423562 33696102 35231416 44928136 52847124 55649623 67392204 70462832 89856272 105694248 111299246 134784408 166948869 211388496 222598492 269568816 333897738 445196984 612145853 667795476 890393968 1224291706 1335590952 1836437559 2448583412 2671181904 3672875118 4897166824 7345750236 9794333648 14691500472 29383000944