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3990088512 = 26344118773
BaseRepresentation
bin1110110111010011…
…1110101101000000
3101022002001111110000
43231310332231000
531132430313022
61455533240000
7200610123054
oct35564765500
911262044400
103990088512
111768334613
12934333000
134b7861227
1429bcd3c64
151854686ac
hexedd3eb40

3990088512 has 140 divisors (see below), whose sum is σ = 12117002436. Its totient is φ = 1297520640.

The previous prime is 3990088499. The next prime is 3990088519. The reversal of 3990088512 is 2158800993.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2375977536 + 1614110976 = 48744^2 + 40176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990088519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203158 + ... + 221930.

Almost surely, 23990088512 is an apocalyptic number.

3990088512 is a gapful number since it is divisible by the number (32) 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 3990088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058501218).

3990088512 is an abundant number, since it is smaller than the sum of its proper divisors (8126913924).

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

3990088512 is a wasteful number, since it uses less digits than its factorization.

3990088512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838 (or 18819 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 3990088512 is about 63167.1474106596. The cubic root of 3990088512 is about 1586.0888420014.

The spelling of 3990088512 in words is "three billion, nine hundred ninety million, eighty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 162 164 192 216 246 288 324 328 369 432 492 576 648 656 738 864 984 1107 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3936 4428 5184 5904 6642 7872 8856 11808 13284 17712 18773 23616 26568 35424 37546 53136 56319 70848 75092 106272 112638 150184 168957 212544 225276 300368 337914 450552 506871 600736 675828 769693 901104 1013742 1201472 1351656 1520613 1539386 1802208 2027484 2309079 2703312 3041226 3078772 3604416 4054968 4618158 5406624 6082452 6157544 6927237 8109936 9236316 10813248 12164904 12315088 13854474 16219872 18472632 20781711 24329808 24630176 27708948 32439744 36945264 41563422 48659616 49260352 55417896 62345133 73890528 83126844 97319232 110835792 124690266 147781056 166253688 221671584 249380532 332507376 443343168 498761064 665014752 997522128 1330029504 1995044256 3990088512