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11738891728 = 2437612732
BaseRepresentation
bin10101110111011000…
…10100010111010000
31010022002210111010201
422323230110113100
5143020124013403
65220501104544
7563620635064
oct127354242720
933262714121
1011738891728
114a84331113
1223373b8154
131151032ca5
147d508daa4
1548a89521d
hex2bbb145d0

11738891728 has 90 divisors (see below), whose sum is σ = 24077788722. Its totient is φ = 5540244480.

The previous prime is 11738891711. The next prime is 11738891797. The reversal of 11738891728 is 82719883711.

11738891728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 4887687744 + 6851203984 = 69912^2 + 82772^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 160806700 + ... + 160806772.

Almost surely, 211738891728 is an apocalyptic number.

It is an amenable number.

11738891728 is an abundant number, since it is smaller than the sum of its proper divisors (12338896994).

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

11738891728 is an frugal number, since it uses more digits than its factorization.

11738891728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 173 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 55.

The spelling of 11738891728 in words is "eleven billion, seven hundred thirty-eight million, eight hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 37 61 73 74 122 146 148 244 292 296 488 584 592 976 1168 2257 2701 3721 4453 4514 5329 5402 7442 8906 9028 10658 10804 14884 17812 18056 21316 21608 29768 35624 36112 42632 43216 59536 71248 85264 137677 164761 197173 271633 275354 325069 329522 394346 543266 550708 650138 659044 788692 1086532 1101416 1300276 1318088 1577384 2173064 2202832 2600552 2636176 3154768 4346128 5201104 10050421 12027553 19829209 20100842 24055106 39658418 40201684 48110212 79316836 80403368 96220424 158633672 160806736 192440848 317267344 733680733 1467361466 2934722932 5869445864 11738891728