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11069574432 = 253728358207
BaseRepresentation
bin10100100111100110…
…00100110100100000
31001120110100122102020
422103303010310200
5140132302340212
65030231221440
7541212554520
oct122363046440
931513318366
1011069574432
114770539124
12218b217880
131075477557
14770221680
1544bc33d8c
hex293cc4d20

11069574432 has 96 divisors (see below), whose sum is σ = 33326641152. Its totient is φ = 3151505664.

The previous prime is 11069574407. The next prime is 11069574473. The reversal of 11069574432 is 23447596011.

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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161073 + ... + 219279.

It is an arithmetic number, because the mean of its divisors is an integer number (347152512).

Almost surely, 211069574432 is an apocalyptic number.

11069574432 is a gapful number since it is divisible by the number (12) 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 11069574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663320576).

11069574432 is an abundant number, since it is smaller than the sum of its proper divisors (22257066720).

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

11069574432 is a wasteful number, since it uses less digits than its factorization.

11069574432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58510 (or 58502 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 11069574432 in words is "eleven billion, sixty-nine million, five hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 283 336 566 672 849 1132 1698 1981 2264 3396 3962 4528 5943 6792 7924 9056 11886 13584 15848 23772 27168 31696 47544 58207 63392 95088 116414 174621 190176 232828 349242 407449 465656 698484 814898 931312 1222347 1396968 1629796 1862624 2444694 2793936 3259592 4889388 5587872 6519184 9778776 13038368 16472581 19557552 32945162 39115104 49417743 65890324 98835486 115308067 131780648 197670972 230616134 263561296 345924201 395341944 461232268 527122592 691848402 790683888 922464536 1383696804 1581367776 1844929072 2767393608 3689858144 5534787216 11069574432