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27676980496 = 241121921992
BaseRepresentation
bin11001110001101011…
…010011010100010000
32122102212010021200201
4121301223103110100
5423140301333441
620414205424544
71666601311144
oct316153232420
978385107621
1027676980496
1110812a30100
125444b6b154
1327c1020349
1414a7b07224
15abec0bc31
hex671ad3510

27676980496 has 135 divisors (see below), whose sum is σ = 62521918263. Its totient is φ = 11858425920.

The previous prime is 27676980491. The next prime is 27676980523. The reversal of 27676980496 is 69408967672.

The square root of 27676980496 is 166364.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (27676980491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139080205 + ... + 139080403.

Almost surely, 227676980496 is an apocalyptic number.

27676980496 is the 166364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27676980496

27676980496 is an abundant number, since it is smaller than the sum of its proper divisors (34844937767).

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

27676980496 is a wasteful number, since it uses less digits than its factorization.

27676980496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

Multiplying 27676980496 by its sum of digits (64), we get a square (1771326751744 = 13309122).

The spelling of 27676980496 in words is "twenty-seven billion, six hundred seventy-six million, nine hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 199 209 242 304 361 398 418 484 722 796 836 968 1444 1592 1672 1936 2189 2299 2888 3184 3344 3781 3971 4378 4598 5776 7562 7942 8756 9196 15124 15884 17512 18392 24079 30248 31768 35024 36784 39601 41591 43681 48158 60496 63536 71839 79202 83182 87362 96316 143678 158404 166364 174724 192632 287356 316808 332728 349448 385264 435611 457501 574712 633616 665456 698896 752419 790229 871222 915002 1149424 1504838 1580458 1742444 1830004 3009676 3160916 3484888 3660008 4791721 6019352 6321832 6969776 7320016 8276609 8692519 9583442 12038704 12643664 14295961 16553218 17385038 19166884 28591922 33106436 34770076 38333768 57183844 66212872 69540152 76667536 91042699 114367688 132425744 139080304 157255571 182085398 228735376 314511142 364170796 629022284 728341592 1258044568 1456683184 1729811281 2516089136 3459622562 6919245124 13838490248 27676980496