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63316061336 = 231123184716937
BaseRepresentation
bin111010111101111011…
…100110110010011000
320001102121100011201202
4322331323212302120
52014132402430321
645030442533332
74401013433003
oct727573466230
9201377304652
1063316061336
11249412a2020
1210330507248
135c80773c68
1430c905053a
1519a892970b
hexebdee6c98

63316061336 has 64 divisors (see below), whose sum is σ = 135222151680. Its totient is φ = 27512193280.

The previous prime is 63316061329. The next prime is 63316061353.

63316061336 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×633160613362 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 63316061336.

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, 3729860 + ... + 3746796.

It is an arithmetic number, because the mean of its divisors is an integer number (2112846120).

Almost surely, 263316061336 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 63316061336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67611075840).

63316061336 is an abundant number, since it is smaller than the sum of its proper divisors (71906090344).

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

63316061336 is a wasteful number, since it uses less digits than its factorization.

63316061336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18824 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 38.

It can be divided in two parts, 633160 and 61336, that added together give a palindrome (694496).

The spelling of 63316061336 in words is "sixty-three billion, three hundred sixteen million, sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1847 2024 3694 7388 14776 16937 20317 33874 40634 42481 67748 81268 84962 135496 162536 169924 186307 339848 372614 389551 467291 745228 779102 934582 1490456 1558204 1869164 3116408 3738328 4285061 8570122 17140244 31282639 34280488 62565278 125130556 250261112 344109029 688218058 719500697 1376436116 1439001394 2752872232 2878002788 5756005576 7914507667 15829015334 31658030668 63316061336