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6157449216 = 211321731931
BaseRepresentation
bin1011011110000001…
…10011100000000000
3120220010022211101200
411233000303200000
5100102301333331
62454555301200
7305405311662
oct55700634000
916803284350
106157449216
11267a7a0806
12123a14a800
137718a5499
14425ab6532
152608895e6
hex16f033800

6157449216 has 144 divisors (see below), whose sum is σ = 17895903480. Its totient is φ = 2039562240.

The previous prime is 6157449197. The next prime is 6157449241. The reversal of 6157449216 is 6129447516.

6157449216 is a `hidden beast` number, since 6 + 157 + 4 + 492 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3187771 + ... + 3189701.

Almost surely, 26157449216 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 6157449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947951740).

6157449216 is an abundant number, since it is smaller than the sum of its proper divisors (11738454264).

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

6157449216 is a wasteful number, since it uses less digits than its factorization.

6157449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2109 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6157449216 is about 78469.4158000428. The cubic root of 6157449216 is about 1832.8782298525.

The spelling of 6157449216 in words is "six billion, one hundred fifty-seven million, four hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1024 1038 1152 1384 1536 1557 1931 2048 2076 2304 2768 3072 3114 3862 4152 4608 5536 5793 6144 6228 7724 8304 9216 11072 11586 12456 15448 16608 17379 18432 22144 23172 24912 30896 33216 34758 44288 46344 49824 61792 66432 69516 88576 92688 99648 123584 132864 139032 177152 185376 199296 247168 265728 278064 334063 354304 370752 398592 494336 531456 556128 668126 741504 797184 988672 1002189 1062912 1112256 1336252 1483008 1594368 1977344 2004378 2224512 2672504 2966016 3006567 3188736 3954688 4008756 4449024 5345008 5932032 6013134 8017512 8898048 10690016 11864064 12026268 16035024 17796096 21380032 24052536 32070048 35592192 42760064 48105072 64140096 85520128 96210144 128280192 171040256 192420288 256560384 342080512 384840576 513120768 684161024 769681152 1026241536 1539362304 2052483072 3078724608 6157449216