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6106272768 = 21032798387
BaseRepresentation
bin1011010111111011…
…00101010000000000
3120202120000210111200
411223331211100000
5100001201212033
62445530341200
7304214314341
oct55375452000
916676023450
106106272768
112653917122
121224b8a800
137640c776b
1441cd940c8
1525b12b013
hex16bf65400

6106272768 has 132 divisors (see below), whose sum is σ = 17857045440. Its totient is φ = 2009419776.

The previous prime is 6106272743. The next prime is 6106272769. The reversal of 6106272768 is 8672726016.

6106272768 is a `hidden beast` number, since 6 + 10 + 627 + 2 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106272769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723871 + ... + 732257.

Almost surely, 26106272768 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 6106272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928522720).

6106272768 is an abundant number, since it is smaller than the sum of its proper divisors (11750772672).

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

6106272768 is a wasteful number, since it uses less digits than its factorization.

6106272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6106272768 is about 78142.6437228739. The cubic root of 6106272768 is about 1827.7862256736.

The spelling of 6106272768 in words is "six billion, one hundred six million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 512 576 632 711 768 948 1024 1152 1264 1422 1536 1896 2304 2528 2844 3072 3792 4608 5056 5688 7584 8387 9216 10112 11376 15168 16774 20224 22752 25161 30336 33548 40448 45504 50322 60672 67096 75483 80896 91008 100644 121344 134192 150966 182016 201288 242688 268384 301932 364032 402576 536768 603864 662573 728064 805152 1073536 1207728 1325146 1610304 1987719 2147072 2415456 2650292 3220608 3975438 4294144 4830912 5300584 5963157 6441216 7950876 8588288 9661824 10601168 11926314 12882432 15901752 19323648 21202336 23852628 25764864 31803504 38647296 42404672 47705256 63607008 77294592 84809344 95410512 127214016 169618688 190821024 254428032 339237376 381642048 508856064 678474752 763284096 1017712128 1526568192 2035424256 3053136384 6106272768