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29682334416 = 2437412154641
BaseRepresentation
bin11011101001001101…
…000111101011010000
32211121121112211010010
4123221031013223100
5441242134200131
621345203234520
72100361452060
oct335115075320
984547484103
1029682334416
11116519a4199
125904678a40
132a506205b7
1416181973a0
15b8accab46
hex6e9347ad0

29682334416 has 80 divisors (see below), whose sum is σ = 89771004288. Its totient is φ = 8273817600.

The previous prime is 29682334411. The next prime is 29682334427. The reversal of 29682334416 is 61443328692.

It is a super-2 number, since 2×296823344162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29682334411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063545 + ... + 1091096.

Almost surely, 229682334416 is an apocalyptic number.

It is an amenable number.

29682334416 is an abundant number, since it is smaller than the sum of its proper divisors (60088669872).

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

29682334416 is a wasteful number, since it uses less digits than its factorization.

29682334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154700 (or 2154694 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 29682334416 in words is "twenty-nine billion, six hundred eighty-two million, three hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 2154641 4309282 6463923 8618564 12927846 15082487 17237128 25855692 30164974 34474256 45247461 51711384 60329948 88340281 90494922 103422768 120659896 176680562 180989844 241319792 265020843 353361124 361979688 530041686 618381967 706722248 723959376 1060083372 1236763934 1413444496 1855145901 2120166744 2473527868 3710291802 4240333488 4947055736 7420583604 9894111472 14841167208 29682334416