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5742318528 = 263319916699
BaseRepresentation
bin1010101100100010…
…01101001111000000
3112211012012000011000
411112101031033000
543230013143103
62345445452000
7262204621302
oct52621151700
915735160130
105742318528
1124874309a1
121143111000
13706896c1b
143c68d3972
152391d7aa3
hex15644d3c0

5742318528 has 112 divisors (see below), whose sum is σ = 16967200000. Its totient is φ = 1904373504.

The previous prime is 5742318499. The next prime is 5742318551. The reversal of 5742318528 is 8258132475.

5742318528 is a `hidden beast` number, since 57 + 42 + 31 + 8 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335523 + ... + 352221.

Almost surely, 25742318528 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 5742318528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483600000).

5742318528 is an abundant number, since it is smaller than the sum of its proper divisors (11224881472).

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

5742318528 is a wasteful number, since it uses less digits than its factorization.

5742318528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919 (or 16903 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 5742318528 is about 75778.0873867901. The cubic root of 5742318528 is about 1790.7258095050.

The spelling of 5742318528 in words is "five billion, seven hundred forty-two million, three hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 199 216 288 398 432 576 597 796 864 1194 1592 1728 1791 2388 3184 3582 4776 5373 6368 7164 9552 10746 12736 14328 16699 19104 21492 28656 33398 38208 42984 50097 57312 66796 85968 100194 114624 133592 150291 171936 200388 267184 300582 343872 400776 450873 534368 601164 801552 901746 1068736 1202328 1603104 1803492 2404656 3206208 3323101 3606984 4809312 6646202 7213968 9618624 9969303 13292404 14427936 19938606 26584808 28855872 29907909 39877212 53169616 59815818 79754424 89723727 106339232 119631636 159508848 179447454 212678464 239263272 319017696 358894908 478526544 638035392 717789816 957053088 1435579632 1914106176 2871159264 5742318528