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13250423505536 = 277671012185373
BaseRepresentation
bin1100000011010001101011…
…0010010100001010000000
31201220201122210111200202222
43000310122302110022000
53214043331404134121
644103054401230212
72535211563312230
oct300643262241200
951821583450688
1013250423505536
1142495226a3a18
1215a0030032368
137516816c87a9
1433b476b99cc0
1517ea197590ab
hexc0d1ac94280

13250423505536 has 128 divisors (see below), whose sum is σ = 30921818290560. Its totient is φ = 5538606796800.

The previous prime is 13250423505499. The next prime is 13250423505581. The reversal of 13250423505536 is 63550532405231.

It is a happy number.

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

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, 4970546 + ... + 7155918.

It is an arithmetic number, because the mean of its divisors is an integer number (241576705395).

Almost surely, 213250423505536 is an apocalyptic number.

13250423505536 is a gapful number since it is divisible by the number (16) 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 13250423505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15460909145280).

13250423505536 is an abundant number, since it is smaller than the sum of its proper divisors (17671394785024).

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

13250423505536 is a wasteful number, since it uses less digits than its factorization.

13250423505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185562 (or 2185550 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 44.

The spelling of 13250423505536 in words is "thirteen trillion, two hundred fifty billion, four hundred twenty-three million, five hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 101 112 128 134 202 224 268 404 448 469 536 707 808 896 938 1072 1414 1616 1876 2144 2828 3232 3752 4288 5656 6464 6767 7504 8576 11312 12928 13534 15008 22624 27068 30016 45248 47369 54136 60032 90496 94738 108272 189476 216544 378952 433088 757904 866176 1515808 2185373 3031616 4370746 6063232 8741492 15297611 17482984 30595222 34965968 61190444 69931936 122380888 139863872 146419991 220722673 244761776 279727744 292839982 441445346 489523552 585679964 882890692 979047104 1024939937 1171359928 1545058711 1765781384 1958094208 2049879874 2342719856 3090117422 3531562768 4099759748 4685439712 6180234844 7063125536 8199519496 9370879424 12360469688 14126251072 14788419091 16399038992 18741758848 24720939376 28252502144 29576838182 32798077984 49441878752 59153676364 65596155968 98883757504 103518933637 118307352728 131192311936 197767515008 207037867274 236614705456 414075734548 473229410912 828151469096 946458821824 1656302938192 1892917643648 3312605876384 6625211752768 13250423505536