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13210188672 = 273191810607
BaseRepresentation
bin11000100110110001…
…10111101110000000
31021002122022010010010
430103120313232000
5204023302014142
610022500104520
7645234515412
oct142330675600
937078263103
1013210188672
1156698972aa
122688095140
131326ab56b5
148d46409b2
15524b1ee9c
hex313637b80

13210188672 has 64 divisors (see below), whose sum is σ = 36936403200. Its totient is φ = 4171636224.

The previous prime is 13210188659. The next prime is 13210188683. The reversal of 13210188672 is 27688101231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13210188672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 898008 + ... + 912599.

It is an arithmetic number, because the mean of its divisors is an integer number (577131300).

Almost surely, 213210188672 is an apocalyptic number.

13210188672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13210188672 is an abundant number, since it is smaller than the sum of its proper divisors (23726214528).

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

13210188672 is a wasteful number, since it uses less digits than its factorization.

13210188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810643 (or 1810631 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 13210188672 in words is "thirteen billion, two hundred ten million, one hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 1810607 3621214 5431821 7242428 10863642 14484856 21727284 28969712 34401533 43454568 57939424 68803066 86909136 103204599 115878848 137606132 173818272 206409198 231757696 275212264 347636544 412818396 550424528 695273088 825636792 1100849056 1651273584 2201698112 3302547168 4403396224 6605094336 13210188672