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11677324000 = 255319153649
BaseRepresentation
bin10101110000000010…
…11101001011100000
31010010210221112002111
422320001131023200
5142403343332000
65210421325104
7562242421246
oct127001351340
933123845074
1011677324000
114a525aa3a1
12231a866794
131141357594
147cac24796
15485282cba
hex2b805d2e0

11677324000 has 96 divisors (see below), whose sum is σ = 30201444000. Its totient is φ = 4425062400.

The previous prime is 11677323989. The next prime is 11677324051. The reversal of 11677324000 is 42377611.

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, 825 + ... + 152824.

It is an arithmetic number, because the mean of its divisors is an integer number (314598375).

Almost surely, 211677324000 is an apocalyptic number.

11677324000 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 11677324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100722000).

11677324000 is an abundant number, since it is smaller than the sum of its proper divisors (18524120000).

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

11677324000 is a wasteful number, since it uses less digits than its factorization.

11677324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153693 (or 153675 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The spelling of 11677324000 in words is "eleven billion, six hundred seventy-seven million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 153649 307298 614596 768245 1229192 1536490 2458384 2919331 3072980 3841225 4916768 5838662 6145960 7682450 11677324 12291920 14596655 15364900 19206125 23354648 24583840 29193310 30729800 38412250 46709296 58386620 61459600 72983275 76824500 93418592 116773240 122919200 145966550 153649000 233546480 291933100 307298000 364916375 467092960 583866200 614596000 729832750 1167732400 1459665500 2335464800 2919331000 5838662000 11677324000