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632142121664 = 26311753181757
BaseRepresentation
bin10010011001011101001…
…10110100101011000000
32020102200001221000100202
421030232212310223000
540324111340343124
61202222503304332
763446033243354
oct11145646645300
92212601830322
10632142121664
112240a9825309
12a261b14b0a8
13477c2a6a901
142284adc1464
151169ba7e5ae
hex932e9b4ac0

632142121664 has 56 divisors (see below), whose sum is σ = 1295617554048. Its totient is φ = 305699051520.

The previous prime is 632142121643. The next prime is 632142121673. The reversal of 632142121664 is 466121241236.

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, 3387074 + ... + 3568830.

Almost surely, 2632142121664 is an apocalyptic number.

632142121664 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 632142121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647808777024).

632142121664 is an abundant number, since it is smaller than the sum of its proper divisors (663475432384).

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

632142121664 is a wasteful number, since it uses less digits than its factorization.

632142121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183553 (or 183543 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 632142121664 in words is "six hundred thirty-two billion, one hundred forty-two million, one hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1753 1984 3506 7012 14024 28048 54343 56096 108686 112192 181757 217372 363514 434744 727028 869488 1454056 1738976 2908112 3477952 5634467 5816224 11268934 11632448 22537868 45075736 90151472 180302944 318620021 360605888 637240042 1274480084 2548960168 5097920336 9877220651 10195840672 19754441302 20391681344 39508882604 79017765208 158035530416 316071060832 632142121664