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5434174980 = 223551386011
BaseRepresentation
bin1010000111110011…
…01110111000000100
3112000201100200200000
411003321232320010
542112122044410
62255121121300
7251443503513
oct50371567004
915021320600
105434174980
1123394a5103
121077a89230
13687aa7570
14397a0067a
1521c11adc0
hex143e6ee04

5434174980 has 144 divisors (see below), whose sum is σ = 18409320384. Its totient is φ = 1337627520.

The previous prime is 5434174979. The next prime is 5434175003. The reversal of 5434174980 is 894714345.

5434174980 is a `hidden beast` number, since 543 + 4 + 17 + 4 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20175 + ... + 106185.

Almost surely, 25434174980 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 5434174980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204660192).

5434174980 is an abundant number, since it is smaller than the sum of its proper divisors (12975145404).

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

5434174980 is a wasteful number, since it uses less digits than its factorization.

5434174980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86048 (or 86034 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5434174980 is about 73716.8568239314. The cubic root of 5434174980 is about 1758.1039088718.

The spelling of 5434174980 in words is "five billion, four hundred thirty-four million, one hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 86011 172022 258033 344044 430055 516066 774099 860110 1032132 1118143 1290165 1548198 1720220 2236286 2322297 2580330 3096396 3354429 3870495 4472572 4644594 5160660 5590715 6708858 6966891 7740990 9289188 10063287 11181430 11611485 13417716 13933782 15481980 16772145 20126574 20900673 22362860 23222970 27867564 30189861 33544290 34834455 40253148 41801346 46445940 50316435 60379722 67088580 69668910 83602692 90569583 100632870 104503365 120759444 139337820 150949305 181139166 201265740 209006730 271708749 301898610 362278332 418013460 452847915 543417498 603797220 905695830 1086834996 1358543745 1811391660 2717087490 5434174980