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13206942252 = 223271719715649
BaseRepresentation
bin11000100110011000…
…11111001000101100
31021002102012011212100
430103030133020230
5204021434123002
610022302335100
7645165104550
oct142314371054
937072164770
1013206942252
115667a7a209
122686b8a490
131326219b3a
148d4037860
155246cd11c
hex31331f22c

13206942252 has 144 divisors (see below), whose sum is σ = 40605364800. Its totient is φ = 3533193216.

The previous prime is 13206942223. The next prime is 13206942253. The reversal of 13206942252 is 25224960231.

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

It is not an unprimeable number, because it can be changed into a prime (13206942253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836124 + ... + 851772.

It is an arithmetic number, because the mean of its divisors is an integer number (281981700).

Almost surely, 213206942252 is an apocalyptic number.

13206942252 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 13206942252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302682400).

13206942252 is an abundant number, since it is smaller than the sum of its proper divisors (27398422548).

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

13206942252 is a wasteful number, since it uses less digits than its factorization.

13206942252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15880 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13206942252 in words is "thirteen billion, two hundred six million, nine hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 197 204 238 252 306 357 394 476 591 612 714 788 1071 1182 1379 1428 1773 2142 2364 2758 3349 3546 4137 4284 5516 6698 7092 8274 10047 12411 13396 15649 16548 20094 23443 24822 30141 31298 40188 46886 46947 49644 60282 62596 70329 93772 93894 109543 120564 140658 140841 187788 210987 219086 266033 281316 281682 328629 421974 438172 532066 563364 657258 798099 843948 985887 1064132 1314516 1596198 1862231 1971774 2394297 3082853 3192396 3724462 3943548 4788594 5586693 6165706 7448924 9248559 9577188 11173386 12331412 16760079 18497118 21579971 22346772 27745677 33520158 36994236 43159942 52408501 55491354 64739913 67040316 86319884 104817002 110982708 129479826 157225503 194219739 209634004 258959652 314451006 366859507 388439478 471676509 628902012 733719014 776878956 943353018 1100578521 1467438028 1886706036 2201157042 3301735563 4402314084 6603471126 13206942252