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5996307456 = 210321738273
BaseRepresentation
bin1011001010110100…
…00110010000000000
3120110220002222110100
411211122012100000
544240023314311
62431001402400
7301410525636
oct54532062000
916426088410
105996307456
1125a78395a7
1211b4199400
137473a5129
1440c52b356
15251658a56
hex165686400

5996307456 has 132 divisors (see below), whose sum is σ = 18333169452. Its totient is φ = 1881145344.

The previous prime is 5996307419. The next prime is 5996307497. The reversal of 5996307456 is 6547036995.

5996307456 is a `hidden beast` number, since 599 + 6 + 3 + 0 + 7 + 45 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5046681600 + 949625856 = 71040^2 + 30816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137536 + ... + 175808.

Almost surely, 25996307456 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 5996307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166584726).

5996307456 is an abundant number, since it is smaller than the sum of its proper divisors (12336861996).

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

5996307456 is a wasteful number, since it uses less digits than its factorization.

5996307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38316 (or 38295 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5996307456 is about 77435.8279867917. The cubic root of 5996307456 is about 1816.7477497949.

The spelling of 5996307456 in words is "five billion, nine hundred ninety-six million, three hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 38273 39168 52224 76546 78336 114819 153092 156672 229638 306184 344457 459276 612368 650641 688914 918552 1224736 1301282 1377828 1837104 1951923 2449472 2602564 2755656 3674208 3903846 4898944 5205128 5511312 5855769 7348416 7807692 9797888 10410256 11022624 11711538 14696832 15615384 19595776 20820512 22045248 23423076 29393664 31230768 39191552 41641024 44090496 46846152 58787328 62461536 83282048 88180992 93692304 117574656 124923072 166564096 176361984 187384608 249846144 333128192 352723968 374769216 499692288 666256384 749538432 999384576 1499076864 1998769152 2998153728 5996307456