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66200013824 = 210783111271
BaseRepresentation
bin111101101001110101…
…000000110000000000
320022212121000010210212
4331221311000300000
52041034200420244
650224544013252
74532332555520
oct755165006000
9208777003725
1066200013824
112609120022a
12109b6301228
1363200b6619
1432c0089680
151ac6be8d9e
hexf69d40c00

66200013824 has 88 divisors (see below), whose sum is σ = 153063982848. Its totient is φ = 28029358080.

The previous prime is 66200013811. The next prime is 66200013853. The reversal of 66200013824 is 42831000266.

It is a super-2 number, since 2×662000138242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 539309 + ... + 650579.

Almost surely, 266200013824 is an apocalyptic number.

66200013824 is a gapful number since it is divisible by the number (64) 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 66200013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76531991424).

66200013824 is an abundant number, since it is smaller than the sum of its proper divisors (86863969024).

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

66200013824 is a wasteful number, since it uses less digits than its factorization.

66200013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111381 (or 111363 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 66200013824 in words is "sixty-six billion, two hundred million, thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 448 512 581 664 896 1024 1162 1328 1792 2324 2656 3584 4648 5312 7168 9296 10624 18592 21248 37184 42496 74368 84992 111271 148736 222542 297472 445084 594944 778897 890168 1557794 1780336 3115588 3560672 6231176 7121344 9235493 12462352 14242688 18470986 24924704 28485376 36941972 49849408 56970752 64648451 73883944 99698816 113941504 129296902 147767888 199397632 258593804 295535776 398795264 517187608 591071552 797590528 1034375216 1182143104 2068750432 2364286208 4137500864 4728572416 8275001728 9457144832 16550003456 33100006912 66200013824