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11897666080 = 2553113917257
BaseRepresentation
bin10110001010010011…
…11111101000100000
31010201011120001121021
423011021333220200
5143331300303310
65244332135224
7600556331056
oct130511775040
933634501537
1011897666080
115055a16693
122380607514
131177bb4901
1480c1c01d6
154997a95da
hex2c527fa20

11897666080 has 96 divisors (see below), whose sum is σ = 29225387520. Its totient is φ = 4572149760.

The previous prime is 11897666059. The next prime is 11897666083. The reversal of 11897666080 is 8066679811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11897666083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680812 + ... + 698068.

It is an arithmetic number, because the mean of its divisors is an integer number (304431120).

Almost surely, 211897666080 is an apocalyptic number.

11897666080 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 11897666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612693760).

11897666080 is an abundant number, since it is smaller than the sum of its proper divisors (17327721440).

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

11897666080 is a wasteful number, since it uses less digits than its factorization.

11897666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442 (or 17434 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 11897666080 in words is "eleven billion, eight hundred ninety-seven million, six hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 139 155 160 248 278 310 496 556 620 695 992 1112 1240 1390 2224 2480 2780 4309 4448 4960 5560 8618 11120 17236 17257 21545 22240 34472 34514 43090 68944 69028 86180 86285 137888 138056 172360 172570 276112 344720 345140 534967 552224 689440 690280 1069934 1380560 2139868 2398723 2674835 2761120 4279736 4797446 5349670 8559472 9594892 10699340 11993615 17118944 19189784 21398680 23987230 38379568 42797360 47974460 74360413 76759136 85594720 95948920 148720826 191897840 297441652 371802065 383795680 594883304 743604130 1189766608 1487208260 2379533216 2974416520 5948833040 11897666080