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629706768460 = 2257211110952673
BaseRepresentation
bin10010010100111010111…
…00101100000001001100
32020012101100101020210221
421022131130230001030
540304114413042320
61201141105241124
763331502134300
oct11123534540114
92205340336727
10629706768460
1122306a066410
12a205b6331a4
13474c5354503
142269979bd00
15115a7d733aa
hex929d72c04c

629706768460 has 144 divisors (see below), whose sum is σ = 1679672725920. Its totient is φ = 196091535360.

The previous prime is 629706768401. The next prime is 629706768503. The reversal of 629706768460 is 64867607926.

It is a super-2 number, since 2×6297067684602 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11928684 + ... + 11981356.

It is an arithmetic number, because the mean of its divisors is an integer number (11664393930).

Almost surely, 2629706768460 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 629706768460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839836362960).

629706768460 is an abundant number, since it is smaller than the sum of its proper divisors (1049965957460).

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

629706768460 is a wasteful number, since it uses less digits than its factorization.

629706768460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53816 (or 53807 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 629706768460 in words is "six hundred twenty-nine billion, seven hundred six million, seven hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1109 1540 2156 2218 2695 4436 5390 5545 7763 10780 11090 12199 15526 22180 24398 31052 38815 48796 52673 54341 60995 77630 85393 105346 108682 121990 155260 170786 210692 217364 243980 263365 271705 341572 368711 426965 526730 543410 579403 597751 737422 853930 1053460 1086820 1158806 1195502 1474844 1707860 1843555 2317612 2391004 2580977 2897015 2988755 3687110 4055821 5161954 5794030 5977510 7374220 8111642 10323908 11588060 11955020 12904885 16223284 20279105 25809770 28390747 40558210 51619540 56781494 58414357 81116420 113562988 116828714 141953735 233657428 283907470 292071785 408900499 567814940 584143570 642557927 817800998 1168287140 1285115854 1635601996 2044502495 2570231708 2862303493 3212789635 4089004990 4497905489 5724606986 6425579270 8178009980 8995810978 11449213972 12851158540 14311517465 17991621956 22489527445 28623034930 31485338423 44979054890 57246069860 62970676846 89958109780 125941353692 157426692115 314853384230 629706768460