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13672075520 = 28529439839
BaseRepresentation
bin11001011101110101…
…10101000100000000
31022021211102101202102
430232322311010000
5211000022404040
610140400005532
7662543503325
oct145672650400
938254371672
1013672075520
115886591774
1227969008a8
13139b6b4a1c
14939b14b4c
1555045a515
hex32eeb5100

13672075520 has 144 divisors (see below), whose sum is σ = 33995808000. Its totient is φ = 5261942784.

The previous prime is 13672075511. The next prime is 13672075567. The reversal of 13672075520 is 2557027631.

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, 16295261 + ... + 16296099.

It is an arithmetic number, because the mean of its divisors is an integer number (236082000).

Almost surely, 213672075520 is an apocalyptic number.

13672075520 is a gapful number since it is divisible by the number (10) 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 13672075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997904000).

13672075520 is an abundant number, since it is smaller than the sum of its proper divisors (20323732480).

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

13672075520 is an equidigital number, since it uses as much as digits as its factorization.

13672075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 13672075520 in words is "thirteen billion, six hundred seventy-two million, seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 439 464 580 640 839 878 928 1160 1280 1678 1756 1856 2195 2320 3356 3512 3712 4195 4390 4640 6712 7024 7424 8390 8780 9280 12731 13424 14048 16780 17560 18560 24331 25462 26848 28096 33560 35120 37120 48662 50924 53696 56192 63655 67120 70240 97324 101848 107392 112384 121655 127310 134240 140480 194648 203696 214784 243310 254620 268480 280960 368321 389296 407392 486620 509240 536960 561920 736642 778592 814784 973240 1018480 1073920 1473284 1557184 1629568 1841605 1946480 2036960 2946568 3114368 3259136 3683210 3892960 4073920 5893136 6228736 7366420 7785920 8147840 10681309 11786272 14732840 15571840 16295680 21362618 23572544 29465680 31143680 42725236 47145088 53406545 58931360 85450472 94290176 106813090 117862720 170900944 213626180 235725440 341801888 427252360 471450880 683603776 854504720 1367207552 1709009440 2734415104 3418018880 6836037760 13672075520