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53782451306376 = 233132334331708607
BaseRepresentation
bin11000011101010001100111…
…11001111011111110001000
321001102112220111121021111220
430032220303321323332020
524022132430013301001
6310215152251522040
714220440165145162
oct1416506371737610
9231375814537456
1053782451306376
1116156011725281
126047496159320
132401881635460
14d3d127d57932
15634011c37c36
hex30ea33e7bf88

53782451306376 has 128 divisors (see below), whose sum is σ = 145756291000320. Its totient is φ = 16439359463424.

The previous prime is 53782451306359. The next prime is 53782451306429. The reversal of 53782451306376 is 67360315428735.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30623065 + ... + 32331671.

It is an arithmetic number, because the mean of its divisors is an integer number (1138721023440).

Almost surely, 253782451306376 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 53782451306376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72878145500160).

53782451306376 is an abundant number, since it is smaller than the sum of its proper divisors (91973839693944).

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

53782451306376 is a wasteful number, since it uses less digits than its factorization.

53782451306376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709295 (or 1709291 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 53782451306376 in words is "fifty-three trillion, seven hundred eighty-two billion, four hundred fifty-one million, three hundred six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 233 312 433 466 699 866 932 1299 1398 1732 1864 2598 2796 3029 3464 5196 5592 5629 6058 9087 10392 11258 12116 16887 18174 22516 24232 33774 36348 45032 67548 72696 100889 135096 201778 302667 403556 605334 807112 1210668 1311557 1708607 2421336 2623114 3417214 3934671 5125821 5246228 6834428 7869342 10251642 10492456 13668856 15738684 20503284 22211891 31477368 41006568 44423782 66635673 88847564 133271346 177695128 266542692 398105431 533085384 739826831 796210862 1194316293 1479653662 1592421724 2219480493 2388632586 2959307324 3184843448 4438960986 4777265172 5175370603 5918614648 8877921972 9554530344 9617748803 10350741206 15526111809 17755843944 19235497606 20701482412 28853246409 31052223618 38470995212 41402964824 57706492818 62104447236 76941990424 115412985636 124208894472 172379651623 230825971272 344759303246 517138954869 689518606492 1034277909738 1379037212984 2068555819476 2240935471099 4137111638952 4481870942198 6722806413297 8963741884396 13445612826594 17927483768792 26891225653188 53782451306376