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5271888672 = 25337977237
BaseRepresentation
bin1001110100011101…
…01010001100100000
3111121101222200201000
410322032222030200
541244100414142
62231042512000
7244433212551
oct47216521440
914541880630
105271888672
112265930a96
121031665600
1366029626b
14380238328
1520cc6114c
hex13a3aa320

5271888672 has 96 divisors (see below), whose sum is σ = 15571180800. Its totient is φ = 1735029504.

The previous prime is 5271888667. The next prime is 5271888679. The reversal of 5271888672 is 2768881725.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5271888679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29638 + ... + 106874.

It is an arithmetic number, because the mean of its divisors is an integer number (162199800).

Almost surely, 25271888672 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 5271888672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785590400).

5271888672 is an abundant number, since it is smaller than the sum of its proper divisors (10299292128).

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

5271888672 is a wasteful number, since it uses less digits than its factorization.

5271888672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77335 (or 77321 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 5271888672 is about 72607.7728070487. The cubic root of 5271888672 is about 1740.4253894539.

The spelling of 5271888672 in words is "five billion, two hundred seventy-one million, eight hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 34128 68256 77237 154474 231711 308948 463422 617896 695133 926844 1235792 1390266 1853688 2085399 2471584 2780532 3707376 4170798 5561064 6101723 7414752 8341596 11122128 12203446 16683192 18305169 22244256 24406892 33366384 36610338 48813784 54915507 66732768 73220676 97627568 109831014 146441352 164746521 195255136 219662028 292882704 329493042 439324056 585765408 658986084 878648112 1317972168 1757296224 2635944336 5271888672