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2030750064 = 243276073319
BaseRepresentation
bin111100100001010…
…1100100101110000
312020112012210101100
41321002230211300
513124333000224
6533302004400
7101216043060
oct17102544560
95215183340
102030750064
1195233a642
12488116700
13264952875
141539c13a0
15bd438ac9
hex790ac970

2030750064 has 120 divisors (see below), whose sum is σ = 6507837440. Its totient is φ = 579083904.

The previous prime is 2030750021. The next prime is 2030750083. The reversal of 2030750064 is 4600570302.

It is a happy number.

It is a super-3 number, since 3×20307500643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610197 + ... + 613515.

Almost surely, 22030750064 is an apocalyptic number.

2030750064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030750064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253918720).

2030750064 is an abundant number, since it is smaller than the sum of its proper divisors (4477087376).

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

2030750064 is a wasteful number, since it uses less digits than its factorization.

2030750064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2030750064 is about 45063.8443100453. The cubic root of 2030750064 is about 1266.3453457659.

The spelling of 2030750064 in words is "two billion, thirty million, seven hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 607 1008 1214 1821 2428 3319 3642 4249 4856 5463 6638 7284 8498 9712 9957 10926 12747 13276 14568 16996 19914 21852 23233 25494 26552 29136 29871 33992 38241 39828 43704 46466 50988 53104 59742 67984 69699 76482 79656 87408 92932 101976 119484 139398 152964 159312 185864 203952 209097 238968 278796 305928 371728 418194 477936 557592 611856 836388 1115184 1672776 2014633 3345552 4029266 6043899 8058532 12087798 14102431 16117064 18131697 24175596 28204862 32234128 36263394 42307293 48351192 56409724 72526788 84614586 96702384 112819448 126921879 145053576 169229172 225638896 253843758 290107152 338458344 507687516 676916688 1015375032 2030750064