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4996001016 = 2332612235101
BaseRepresentation
bin1001010011100100…
…01110110011111000
3110220011212010222200
410221302032303320
540212434013031
62143425350200
7234543210426
oct45162166370
913804763880
104996001016
112134126566
12b75198360
1361808b626
14355740116
151e39168e6
hex129c8ecf8

4996001016 has 96 divisors (see below), whose sum is σ = 13817032320. Its totient is φ = 1630368000.

The previous prime is 4996001011. The next prime is 4996001039. The reversal of 4996001016 is 6101006994.

4996001016 is a `hidden beast` number, since 49 + 9 + 600 + 1 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4996001011) 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 23 ways as a sum of consecutive naturals, for example, 976866 + ... + 981966.

It is an arithmetic number, because the mean of its divisors is an integer number (143927420).

Almost surely, 24996001016 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 4996001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908516160).

4996001016 is an abundant number, since it is smaller than the sum of its proper divisors (8821031304).

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

4996001016 is a wasteful number, since it uses less digits than its factorization.

4996001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4996001016 is about 70682.3953753691. The cubic root of 4996001016 is about 1709.5199473227.

The spelling of 4996001016 in words is "four billion, nine hundred ninety-six million, one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 223 244 366 446 488 549 669 732 892 1098 1338 1464 1784 2007 2196 2676 4014 4392 5101 5352 8028 10202 13603 15303 16056 20404 27206 30606 40808 40809 45909 54412 61212 81618 91818 108824 122424 122427 163236 183636 244854 311161 326472 367272 489708 622322 933483 979416 1137523 1244644 1866966 2275046 2489288 2800449 3412569 3733932 4550092 5600898 6825138 7467864 9100184 10237707 11201796 13650276 20475414 22403592 27300552 40950828 69388903 81901656 138777806 208166709 277555612 416333418 555111224 624500127 832666836 1249000254 1665333672 2498000508 4996001016