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2047639968 = 2532111813571
BaseRepresentation
bin111101000001100…
…1000000110100000
312021200222212222100
41322003020012200
513143143434333
6535104010400
7101512436553
oct17203100640
95250885870
102047639968
11960926240
12491900a00
132682b74aa
14155d3a69a
15beb73213
hex7a0c81a0

2047639968 has 144 divisors (see below), whose sum is σ = 6389222112. Its totient is φ = 616896000.

The previous prime is 2047639967. The next prime is 2047639969. The reversal of 2047639968 is 8699367402.

It is a happy number.

2047639968 is a `hidden beast` number, since 20 + 476 + 3 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2047639967) and next prime (2047639969).

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

It is not an unprimeable number, because it can be changed into a prime (2047639961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 571623 + ... + 575193.

It is an arithmetic number, because the mean of its divisors is an integer number (44369598).

Almost surely, 22047639968 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 2047639968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194611056).

2047639968 is an abundant number, since it is smaller than the sum of its proper divisors (4341582144).

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

2047639968 is a wasteful number, since it uses less digits than its factorization.

2047639968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2047639968 is about 45250.8559919036. The cubic root of 2047639968 is about 1269.8464211749.

The spelling of 2047639968 in words is "two billion, forty-seven million, six hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 181 198 264 288 352 362 396 528 543 724 792 1056 1086 1448 1584 1629 1991 2172 2896 3168 3258 3571 3982 4344 5792 5973 6516 7142 7964 8688 10713 11946 13032 14284 15928 17376 17919 21426 23892 26064 28568 31856 32139 35838 39281 42852 47784 52128 57136 63712 64278 71676 78562 85704 95568 114272 117843 128556 143352 157124 171408 191136 235686 257112 286704 314248 342816 353529 471372 514224 573408 628496 646351 707058 942744 1028448 1256992 1292702 1414116 1885488 1939053 2585404 2828232 3770976 3878106 5170808 5656464 5817159 7109861 7756212 10341616 11312928 11634318 14219722 15512424 20683232 21329583 23268636 28439444 31024848 42659166 46537272 56878888 62049696 63988749 85318332 93074544 113757776 127977498 170636664 186149088 227515552 255954996 341273328 511909992 682546656 1023819984 2047639968