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629669452048 = 247133147296819
BaseRepresentation
bin10010010100110110011…
…10010101100100010000
32020012021202011101022121
421022123032111210100
540304030334431143
61201133253344024
763330540014140
oct11123316254420
92205252141277
10629669452048
1122304aa98aaa
12a204b038014
13474ba6ba2b0
1422694846920
15115a49517ed
hex929b395910

629669452048 has 160 divisors (see below), whose sum is σ = 1582938685440. Its totient is φ = 235934691840.

The previous prime is 629669452039. The next prime is 629669452067. The reversal of 629669452048 is 840254966926.

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 31 ways as a sum of consecutive naturals, for example, 1972983 + ... + 2269801.

It is an arithmetic number, because the mean of its divisors is an integer number (9893366784).

Almost surely, 2629669452048 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 629669452048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791469342720).

629669452048 is an abundant number, since it is smaller than the sum of its proper divisors (953269233392).

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

629669452048 is a wasteful number, since it uses less digits than its factorization.

629669452048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296925 (or 296919 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 629669452048 in words is "six hundred twenty-nine billion, six hundred sixty-nine million, four hundred fifty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 47 52 56 62 91 94 104 112 124 182 188 208 217 248 329 364 376 403 434 496 611 658 728 752 806 868 1222 1316 1456 1457 1612 1736 2444 2632 2821 2914 3224 3472 4277 4888 5264 5642 5828 6448 8554 9776 10199 11284 11656 17108 18941 20398 22568 23312 34216 37882 40796 45136 68432 75764 81592 132587 151528 163184 265174 296819 303056 530348 593638 1060696 1187276 2077733 2121392 2374552 3858647 4155466 4749104 7717294 8310932 9201389 13950493 15434588 16621864 18402778 27010529 27900986 30869176 33243728 36805556 54021058 55801972 61738352 64409723 73611112 97653451 108042116 111603944 119618057 128819446 147222224 181356409 195306902 216084232 223207888 239236114 257638892 362712818 390613804 432168464 432465283 478472228 515277784 725425636 781227608 837326399 864930566 956944456 1030555568 1269494863 1450851272 1562455216 1674652798 1729861132 1913888912 2538989726 2901702544 3027256981 3349305596 3459722264 5077979452 5622048679 6054513962 6698611192 6919444528 10155958904 11244097358 12109027924 13397222384 20311917808 22488194716 24218055848 39354340753 44976389432 48436111696 78708681506 89952778864 157417363012 314834726024 629669452048