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29144447552 = 2611117135353
BaseRepresentation
bin11011001001001001…
…001111101001000000
32210020010102100001102
4123021021033221000
5434141434310202
621215550353532
72051140500563
oct331111175100
983203370042
1029144447552
11113a630a8a0
1257944bb8a8
13299606174c
1415a697c4da
15b5897bd02
hex6c924fa40

29144447552 has 56 divisors (see below), whose sum is σ = 63146769312. Its totient is φ = 13235788800.

The previous prime is 29144447513. The next prime is 29144447581. The reversal of 29144447552 is 25574444192.

It is a super-2 number, since 2×291444475522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29144447497 and 29144447506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806708 + ... + 842060.

Almost surely, 229144447552 is an apocalyptic number.

29144447552 is a gapful number since it is divisible by the number (22) 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 29144447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31573384656).

29144447552 is an abundant number, since it is smaller than the sum of its proper divisors (34002321760).

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

29144447552 is a wasteful number, since it uses less digits than its factorization.

29144447552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36547 (or 36537 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 47.

The spelling of 29144447552 in words is "twenty-nine billion, one hundred forty-four million, four hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1171 2342 4684 9368 12881 18736 25762 35353 37472 51524 70706 74944 103048 141412 206096 282824 388883 412192 565648 777766 824384 1131296 1555532 2262592 3111064 6222128 12444256 24888512 41398363 82796726 165593452 331186904 455381993 662373808 910763986 1324747616 1821527972 2649495232 3643055944 7286111888 14572223776 29144447552