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13322379312 = 24331113121401
BaseRepresentation
bin11000110100001001…
…10110000000110000
31021101110101222202000
430122010312000300
5204241012114222
610041544454000
7651066233004
oct143204660060
937343358660
1013322379312
115717154840
1226b977a300
131344106ba8
149054c6704
1552e8d19ac
hex31a136030

13322379312 has 160 divisors (see below), whose sum is σ = 42036952320. Its totient is φ = 4006080000.

The previous prime is 13322379293. The next prime is 13322379353. The reversal of 13322379312 is 21397322331.

13322379312 is a `hidden beast` number, since 1 + 332 + 2 + 3 + 7 + 9 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611812 + ... + 633212.

It is an arithmetic number, because the mean of its divisors is an integer number (262730952).

Almost surely, 213322379312 is an apocalyptic number.

13322379312 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 13322379312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018476160).

13322379312 is an abundant number, since it is smaller than the sum of its proper divisors (28714573008).

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

13322379312 is a wasteful number, since it uses less digits than its factorization.

13322379312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21560 (or 21548 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The spelling of 13322379312 in words is "thirteen billion, three hundred twenty-two million, three hundred seventy-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 131 132 144 176 198 216 262 264 297 393 396 432 524 528 594 786 792 1048 1179 1188 1441 1572 1584 2096 2358 2376 2882 3144 3537 4323 4716 4752 5764 6288 7074 8646 9432 11528 12969 14148 17292 18864 21401 23056 25938 28296 34584 38907 42802 51876 56592 64203 69168 77814 85604 103752 128406 155628 171208 192609 207504 235411 256812 311256 342416 385218 470822 513624 577827 622512 706233 770436 941644 1027248 1155654 1412466 1540872 1883288 2118699 2311308 2803531 2824932 3081744 3766576 4237398 4622616 5607062 5649864 6356097 8410593 8474796 9245232 11214124 11299728 12712194 16821186 16949592 22428248 25231779 25424388 30838841 33642372 33899184 44856496 50463558 50848776 61677682 67284744 75695337 92516523 100927116 101697552 123355364 134569488 151390674 185033046 201854232 246710728 277549569 302781348 370066092 403708464 493421456 555099138 605562696 740132184 832648707 1110198276 1211125392 1480264368 1665297414 2220396552 3330594828 4440793104 6661189656 13322379312