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63712827396 = 22343723792
BaseRepresentation
bin111011010101100101…
…001001100000000100
320002110020220222110000
4323111211021200010
52020440440434041
645134055001300
74413602045241
oct732545114004
9202406828400
1063712827396
1125025259259
1210421369230
136014a2258a
143125a125c8
1519cd69ebb6
hexed5949804

63712827396 has 135 divisors (see below), whose sum is σ = 171634002309. Its totient is φ = 20609098272.

The previous prime is 63712827383. The next prime is 63712827401. The reversal of 63712827396 is 69372821736.

The square root of 63712827396 is 252414.

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

It can be written as a sum of positive squares in only one way, i.e., 57011112900 + 6701714496 = 238770^2 + 81864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168107535 + ... + 168107913.

Almost surely, 263712827396 is an apocalyptic number.

63712827396 is the 252414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63712827396

63712827396 is an abundant number, since it is smaller than the sum of its proper divisors (107921174913).

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

63712827396 is an equidigital number, since it uses as much as digits as its factorization.

63712827396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 421 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 63712827396 in words is "sixty-three billion, seven hundred twelve million, eight hundred twenty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 379 444 666 758 999 1137 1332 1369 1516 1998 2274 2738 2997 3411 3996 4107 4548 5476 5994 6822 8214 10233 11988 12321 13644 14023 16428 20466 24642 28046 30699 36963 40932 42069 49284 56092 61398 73926 84138 110889 122796 126207 143641 147852 168276 221778 252414 287282 378621 430923 443556 504828 518851 574564 757242 861846 1037702 1135863 1292769 1514484 1556553 1723692 2075404 2271726 2585538 3113106 3878307 4543452 4669659 5171076 5314717 6226212 7756614 9339318 10629434 11634921 14008977 15513228 15944151 18678636 21258868 23269842 28017954 31888302 42026931 46539684 47832453 56035908 63776604 84053862 95664906 143497359 168107724 191329812 196644529 286994718 393289058 430492077 573989436 589933587 786578116 860984154 1179867174 1721968308 1769800761 2359734348 3539601522 5309402283 7079203044 10618804566 15928206849 21237609132 31856413698 63712827396