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4215064968 = 2332737871019
BaseRepresentation
bin1111101100111100…
…1100100110001000
3101212202101111010100
43323033030212020
532113024034333
61534131245400
7206311314102
oct37317144610
911782344110
104215064968
111873326774
12997749860
13522351aaa
142bdb38572
1519a0a8213
hexfb3cc988

4215064968 has 96 divisors (see below), whose sum is σ = 11598256800. Its totient is φ = 1382655744.

The previous prime is 4215064963. The next prime is 4215064979. The reversal of 4215064968 is 8694605124.

4215064968 is a `hidden beast` number, since 4 + 2 + 150 + 6 + 496 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4215064963) 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, 4135963 + ... + 4136981.

It is an arithmetic number, because the mean of its divisors is an integer number (120815175).

Almost surely, 24215064968 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 4215064968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799128400).

4215064968 is an abundant number, since it is smaller than the sum of its proper divisors (7383191832).

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

4215064968 is a wasteful number, since it uses less digits than its factorization.

4215064968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4215064968 is about 64923.5316969125. The cubic root of 4215064968 is about 1615.3554116876.

The spelling of 4215064968 in words is "four billion, two hundred fifteen million, sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 787 876 1019 1314 1574 1752 2038 2361 2628 3057 3148 4076 4722 5256 6114 6296 7083 8152 9171 9444 12228 14166 18342 18888 24456 28332 36684 56664 57451 73368 74387 114902 148774 172353 223161 229804 297548 344706 446322 459608 517059 595096 669483 689412 801953 892644 1034118 1338966 1378824 1603906 1785288 2068236 2405859 2677932 3207812 4136472 4811718 5355864 6415624 7217577 9623436 14435154 19246872 28870308 57740616 58542569 117085138 175627707 234170276 351255414 468340552 526883121 702510828 1053766242 1405021656 2107532484 4215064968