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53757264567344 = 241331131169337591
BaseRepresentation
bin11000011100100010101101…
…01010001001110000110000
321001100010220012022100220112
430032101112222021300300
524021224334212123334
6310155425120400452
714215556062330142
oct1416212652116060
9231303805270815
1053757264567344
1116146367443478
126042627176128
1323cc399508890
14d3bc18c80c92
1563353a97a4ce
hex30e456a89c30

53757264567344 has 160 divisors (see below), whose sum is σ = 116740749447168. Its totient is φ = 23812693632000.

The previous prime is 53757264567319. The next prime is 53757264567397. The reversal of 53757264567344 is 44376546275735.

It is a super-2 number, since 2×537572645673442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430037989 + ... + 1430075579.

Almost surely, 253757264567344 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 53757264567344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58370374723584).

53757264567344 is an abundant number, since it is smaller than the sum of its proper divisors (62983484879824).

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

53757264567344 is a wasteful number, since it uses less digits than its factorization.

53757264567344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39467 (or 39461 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 68.

The spelling of 53757264567344 in words is "fifty-three trillion, seven hundred fifty-seven billion, two hundred sixty-four million, five hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 131 208 248 262 403 496 524 806 1048 1612 1693 1703 2096 3224 3386 3406 4061 6448 6772 6812 8122 13544 13624 16244 22009 27088 27248 32488 37591 44018 52483 52793 64976 75182 88036 104966 105586 150364 176072 209932 211172 221783 300728 352144 419864 422344 443566 488683 601456 682279 839728 844688 887132 977366 1165321 1364558 1774264 1954732 2330642 2729116 2883179 3548528 3909464 4661284 4924421 5458232 5766358 6875273 7818928 9322568 9848842 10916464 11532716 13750546 15149173 18645136 19697684 23065432 27501092 30298346 39395368 46130864 55002184 60596692 63641563 64017473 78790736 89378549 110004368 121193384 127283126 128034946 152657051 178757098 242386768 254566252 256069892 305314102 357514196 509132504 512139784 610628204 715028392 827340319 1018265008 1024279568 1221256408 1430056784 1654680638 1972888453 1984541663 2442512816 3309361276 3945776906 3969083326 6618722552 7891553812 7938166652 8337044753 13237445104 15783107624 15876333304 16674089506 25647549889 31566215248 31752666608 33348179012 51295099778 66696358024 102590199556 108381581789 133392716048 205180399112 216763163578 258448387343 410360798224 433526327156 516896774686 867052654312 1033793549372 1734105308624 2067587098744 3359829035459 4135174197488 6719658070918 13439316141836 26878632283672 53757264567344