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5429713968 = 2432741131381
BaseRepresentation
bin1010000111010001…
…01101110000110000
3112000101222001022100
411003220231300300
542110001321333
62254441340400
7251360543610
oct50350556060
915011861270
105429713968
112336a28518
121076497700
13686ba4c03
1439719ca40
1521ba39213
hex143a2dc30

5429713968 has 120 divisors (see below), whose sum is σ = 17790173856. Its totient is φ = 1513497600.

The previous prime is 5429713943. The next prime is 5429713979. The reversal of 5429713968 is 8693179245.

5429713968 is a `hidden beast` number, since 542 + 9 + 7 + 1 + 3 + 96 + 8 = 666.

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, 24363 + ... + 107018.

Almost surely, 25429713968 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 5429713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895086928).

5429713968 is an abundant number, since it is smaller than the sum of its proper divisors (12360459888).

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

5429713968 is a wasteful number, since it uses less digits than its factorization.

5429713968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131443 (or 131434 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 5429713968 is about 73686.5928646453. The cubic root of 5429713968 is about 1757.6226907921.

It can be divided in two parts, 54297 and 13968, that added together give a triangular number (68265 = T369).

The spelling of 5429713968 in words is "five billion, four hundred twenty-nine million, seven hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 13776 20664 41328 131381 262762 394143 525524 788286 919667 1051048 1182429 1576572 1839334 2102096 2364858 2759001 3153144 3678668 4729716 5386621 5518002 6306288 7357336 8277003 9459432 10773242 11036004 14714672 16159863 16554006 18918864 21546484 22072008 32319726 33108012 37706347 43092968 44144016 48479589 64639452 66216024 75412694 86185936 96959178 113119041 129278904 132432048 150825388 193918356 226238082 258557808 301650776 339357123 387836712 452476164 603301552 678714246 775673424 904952328 1357428492 1809904656 2714856984 5429713968