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5963297421312 = 211337113737853
BaseRepresentation
bin101011011000111000000…
…1110010111100000000000
3210010002022110011101002000
41112301300032113200000
51240200313114440222
620403300115224000
71153556032512450
oct126616016274000
923102273141060
105963297421312
11199a024a278a0
128038882a8000
1334344b498c0a
141688a7529d60
15a51bbbe49ac
hex56c70397800

5963297421312 has 768 divisors, whose sum is σ = 22619370009600. Its totient is φ = 1507006218240.

The previous prime is 5963297421299. The next prime is 5963297421317. The reversal of 5963297421312 is 2131247923695.

It is a happy number.

5963297421312 is a `hidden beast` number, since 5 + 96 + 32 + 97 + 421 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×59632974213122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5963297421317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157519378 + ... + 157557230.

It is an arithmetic number, because the mean of its divisors is an integer number (29452304700).

Almost surely, 25963297421312 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 5963297421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309685004800).

5963297421312 is an abundant number, since it is smaller than the sum of its proper divisors (16656072588288).

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

5963297421312 is a wasteful number, since it uses less digits than its factorization.

5963297421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37939 (or 37913 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 5963297421312 in words is "five trillion, nine hundred sixty-three billion, two hundred ninety-seven million, four hundred twenty-one thousand, three hundred twelve".