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63386118756 = 22347121972
BaseRepresentation
bin111011000010000110…
…110110101001100100
320001121111011110110000
4323002012312221210
52014303321300011
645041424301300
74402524056022
oct730206665144
9201544143400
1063386118756
11249778a2214
121034ba71830
135c9213295c
1430d4489712
1519aeb67356
hexec21b6a64

63386118756 has 135 divisors (see below), whose sum is σ = 168928043977. Its totient is φ = 20725377120.

The previous prime is 63386118727. The next prime is 63386118767. The reversal of 63386118756 is 65781168336.

The square root of 63386118756 is 251766.

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., 62105624100 + 1280494656 = 249210^2 + 35784^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 321756850 + ... + 321757046.

Almost surely, 263386118756 is an apocalyptic number.

63386118756 is the 251766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63386118756

63386118756 is an abundant number, since it is smaller than the sum of its proper divisors (105541925221).

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

63386118756 is an equidigital number, since it uses as much as digits as its factorization.

63386118756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 273 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 63386118756 in words is "sixty-three billion, three hundred eighty-six million, one hundred eighteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 197 213 284 324 394 426 591 639 788 852 1182 1278 1773 1917 2364 2556 3546 3834 5041 5319 5751 7092 7668 10082 10638 11502 13987 15123 15957 20164 21276 23004 27974 30246 31914 38809 41961 45369 55948 60492 63828 77618 83922 90738 116427 125883 136107 155236 167844 181476 232854 251766 272214 349281 377649 408321 465708 503532 544428 698562 755298 816642 993077 1047843 1132947 1397124 1510596 1633284 1986154 2095686 2265894 2755439 2979231 3143529 3972308 4191372 4531788 5510878 5958462 6287058 8266317 8937693 11021756 11916924 12574116 16532634 17875386 24798951 26813079 33065268 35750772 49597902 53626158 74396853 80439237 99195804 107252316 148793706 160878474 195636169 223190559 297587412 321756948 391272338 446381118 586908507 782544676 892762236 1173817014 1760725521 2347634028 3521451042 5282176563 7042902084 10564353126 15846529689 21128706252 31693059378 63386118756