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6034372992 = 27342632213
BaseRepresentation
bin1011001111010110…
…10011100110000000
3120120112201220120000
411213223103212000
544324244413432
62434441320000
7302352216114
oct54753234600
916515656500
106034372992
11261727881a
121204a96000
1375224230b
144135d9744
15254b7757c
hex167ad3980

6034372992 has 160 divisors (see below), whose sum is σ = 18034624080. Its totient is φ = 2002904064.

The previous prime is 6034372951. The next prime is 6034373021. The reversal of 6034372992 is 2992734306.

6034372992 is a `hidden beast` number, since 603 + 4 + 37 + 2 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2725678 + ... + 2727890.

Almost surely, 26034372992 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 6034372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017312040).

6034372992 is an abundant number, since it is smaller than the sum of its proper divisors (12000251088).

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

6034372992 is a wasteful number, since it uses less digits than its factorization.

6034372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6034372992 is about 77681.2267668322. The cubic root of 6034372992 is about 1820.5839803728.

The spelling of 6034372992 in words is "six billion, thirty-four million, three hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 263 288 324 384 432 526 576 648 789 864 1052 1152 1296 1578 1728 2104 2213 2367 2592 3156 3456 4208 4426 4734 5184 6312 6639 7101 8416 8852 9468 10368 12624 13278 14202 16832 17704 18936 19917 21303 25248 26556 28404 33664 35408 37872 39834 42606 50496 53112 56808 59751 70816 75744 79668 85212 100992 106224 113616 119502 141632 151488 159336 170424 179253 212448 227232 239004 283264 302976 318672 340848 358506 424896 454464 478008 582019 637344 681696 717012 849792 908928 956016 1164038 1274688 1363392 1434024 1746057 1912032 2328076 2549376 2726784 2868048 3492114 3824064 4656152 5238171 5736096 6984228 7648128 9312304 10476342 11472192 13968456 15714513 18624608 20952684 22944384 27936912 31429026 37249216 41905368 47143539 55873824 62858052 74498432 83810736 94287078 111747648 125716104 167621472 188574156 223495296 251432208 335242944 377148312 502864416 670485888 754296624 1005728832 1508593248 2011457664 3017186496 6034372992