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10715675328 = 263419108793
BaseRepresentation
bin10011111101011010…
…00011101011000000
31000122210102201010000
421332231003223000
5133421203102303
64531150040000
7526354510641
oct117655035300
930583381100
1010715675328
1145a97a0526
1220b07a9000
13101a0576b7
1473921b6c8
1542ab29da3
hex27eb43ac0

10715675328 has 140 divisors (see below), whose sum is σ = 33436747960. Its totient is φ = 3383866368.

The previous prime is 10715675323. The next prime is 10715675353. The reversal of 10715675328 is 82357651701.

It is a happy number.

10715675328 is a `hidden beast` number, since 10 + 7 + 1 + 567 + 53 + 28 = 666.

10715675328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107156753282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10715675323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44100 + ... + 152892.

It is an arithmetic number, because the mean of its divisors is an integer number (238833914).

Almost surely, 210715675328 is an apocalyptic number.

10715675328 is a gapful number since it is divisible by the number (18) 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 10715675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718373980).

10715675328 is an abundant number, since it is smaller than the sum of its proper divisors (22721072632).

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

10715675328 is a wasteful number, since it uses less digits than its factorization.

10715675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108836 (or 108817 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10715675328 in words is "ten billion, seven hundred fifteen million, six hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 49248 98496 108793 217586 326379 435172 652758 870344 979137 1305516 1740688 1958274 2067067 2611032 2937411 3481376 3916548 4134134 5222064 5874822 6201201 6962752 7833096 8268268 8812233 10444128 11749644 12402402 15666192 16536536 17624466 18603603 20888256 23499288 24804804 31332384 33073072 35248932 37207206 46998576 49609608 55810809 62664768 66146144 70497864 74414412 93997152 99219216 111621618 132292288 140995728 148828824 167432427 187994304 198438432 223243236 281991456 297657648 334864854 396876864 446486472 563982912 595315296 669729708 892972944 1190630592 1339459416 1785945888 2678918832 3571891776 5357837664 10715675328