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10744410336 = 2531121148221
BaseRepresentation
bin10100000000110101…
…01011000011100000
31000201210111121010120
422000122223003200
5134001032112321
64534054000240
7530153660322
oct120032530340
930653447116
1010744410336
114613a37570
1220ba346080
131022ca896a
1473cd7b612
1542d403ec6
hex2806ab0e0

10744410336 has 96 divisors (see below), whose sum is σ = 30914545536. Its totient is φ = 3240384000.

The previous prime is 10744410331. The next prime is 10744410337. The reversal of 10744410336 is 63301444701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10744410297 and 10744410306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10744410331) 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, 198706 + ... + 246926.

It is an arithmetic number, because the mean of its divisors is an integer number (322026516).

Almost surely, 210744410336 is an apocalyptic number.

10744410336 is a gapful number since it is divisible by the number (16) 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 10744410336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457272768).

10744410336 is an abundant number, since it is smaller than the sum of its proper divisors (20170135200).

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

10744410336 is a wasteful number, since it uses less digits than its factorization.

10744410336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48456 (or 48448 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 10744410336 in words is "ten billion, seven hundred forty-four million, four hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 211 264 352 422 528 633 844 1056 1266 1688 2321 2532 3376 4642 5064 6752 6963 9284 10128 13926 18568 20256 27852 37136 48221 55704 74272 96442 111408 144663 192884 222816 289326 385768 530431 578652 771536 1060862 1157304 1543072 1591293 2121724 2314608 3182586 4243448 4629216 6365172 8486896 10174631 12730344 16973792 20349262 25460688 30523893 40698524 50921376 61047786 81397048 111920941 122095572 162794096 223841882 244191144 325588192 335762823 447683764 488382288 671525646 895367528 976764576 1343051292 1790735056 2686102584 3581470112 5372205168 10744410336