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66187116512 = 25111964115439
BaseRepresentation
bin111101101001000011…
…110011111111100000
320022211200201220000122
4331221003303333200
52041022400212022
650223403335412
74532115131156
oct755103637740
9208750656018
1066187116512
11260849a12a0
12109b1b21568
13631a51c08a
1432bc48d3d6
151ac59ec742
hexf690f3fe0

66187116512 has 96 divisors (see below), whose sum is σ = 149876697600. Its totient is φ = 28455321600.

The previous prime is 66187116473. The next prime is 66187116547. The reversal of 66187116512 is 21561178166.

It is a super-2 number, since 2×661871165122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 4279289 + ... + 4294727.

It is an arithmetic number, because the mean of its divisors is an integer number (1561215600).

Almost surely, 266187116512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66187116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74938348800).

66187116512 is an abundant number, since it is smaller than the sum of its proper divisors (83689581088).

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

66187116512 is a wasteful number, since it uses less digits than its factorization.

66187116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16112 counting only the distinct ones).

The product of its digits is 120960, while the sum is 44.

The spelling of 66187116512 in words is "sixty-six billion, one hundred eighty-seven million, one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 641 836 1282 1672 2564 3344 5128 6688 7051 10256 12179 14102 15439 20512 24358 28204 30878 48716 56408 61756 97432 112816 123512 133969 169829 194864 225632 247024 267938 293341 339658 389728 494048 535876 586682 679316 1071752 1173364 1358632 2143504 2346728 2717264 3226751 4287008 4693456 5434528 6453502 9386912 9896399 12907004 19792798 25814008 39585596 51628016 79171192 103256032 108860389 158342384 188031581 217720778 316684768 376063162 435441556 752126324 870883112 1504252648 1741766224 2068347391 3008505296 3483532448 4136694782 6017010592 8273389564 16546779128 33093558256 66187116512