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13597470080 = 275191796247
BaseRepresentation
bin11001010100111100…
…01110110110000000
31022002122001001022222
430222132032312000
5210321423020310
610125132550212
7660646405625
oct145236166600
938078031288
1013597470080
115848465587
122775922368
1313890c2bac
1492dc5434c
15548b20055
hex32a78ed80

13597470080 has 128 divisors (see below), whose sum is σ = 34413984000. Its totient is φ = 5123119104.

The previous prime is 13597470079. The next prime is 13597470097. The reversal of 13597470080 is 8007479531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 2173517 + ... + 2179763.

It is an arithmetic number, because the mean of its divisors is an integer number (268859250).

Almost surely, 213597470080 is an apocalyptic number.

13597470080 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 13597470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206992000).

13597470080 is an abundant number, since it is smaller than the sum of its proper divisors (20816513920).

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

13597470080 is a wasteful number, since it uses less digits than its factorization.

13597470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 13597470080 in words is "thirteen billion, five hundred ninety-seven million, four hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 179 190 304 320 358 380 608 640 716 760 895 1216 1432 1520 1790 2432 2864 3040 3401 3580 5728 6080 6247 6802 7160 11456 12160 12494 13604 14320 17005 22912 24988 27208 28640 31235 34010 49976 54416 57280 62470 68020 99952 108832 114560 118693 124940 136040 199904 217664 237386 249880 272080 399808 435328 474772 499760 544160 593465 799616 949544 999520 1088320 1118213 1186930 1899088 1999040 2176640 2236426 2373860 3798176 3998080 4472852 4747720 5591065 7596352 8945704 9495440 11182130 15192704 17891408 18990880 21246047 22364260 35782816 37981760 42492094 44728520 71565632 75963520 84984188 89457040 106230235 143131264 169968376 178914080 212460470 339936752 357828160 424920940 679873504 715656320 849841880 1359747008 1699683760 2719494016 3399367520 6798735040 13597470080