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53307146455344 = 24321276774305569
BaseRepresentation
bin11000001111011100010011…
…00001110100100100110000
320222202010001200200010002100
430013232021201310210300
523441341013443032334
6305212544235220400
714141212532444415
oct1407561141644460
9228663050603070
1053307146455344
1115a92485506801
125b8b3475a7700
132398ac4815082
14d2411880410c
1562699415ac99
hex307b89874930

53307146455344 has 120 divisors (see below), whose sum is σ = 150582798512640. Its totient is φ = 17603090878464.

The previous prime is 53307146455279. The next prime is 53307146455373. The reversal of 53307146455344 is 44355464170335.

53307146455344 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 7 + 1 + 46 + 4 + 553 + 44 = 666.

It is a super-2 number, since 2×533071464553442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10228192 + ... + 14533760.

It is an arithmetic number, because the mean of its divisors is an integer number (1254856654272).

Almost surely, 253307146455344 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 53307146455344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75291399256320).

53307146455344 is an abundant number, since it is smaller than the sum of its proper divisors (97275652057296).

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

53307146455344 is a wasteful number, since it uses less digits than its factorization.

53307146455344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306387 (or 4306378 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 54.

The spelling of 53307146455344 in words is "fifty-three trillion, three hundred seven billion, one hundred forty-six million, four hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 677 762 1016 1143 1354 1524 2031 2032 2286 2708 3048 4062 4572 5416 6093 6096 8124 9144 10832 12186 16248 18288 24372 32496 48744 85979 97488 171958 257937 343916 515874 687832 773811 1031748 1375664 1547622 2063496 3095244 4126992 4305569 6190488 8611138 12380976 12916707 17222276 25833414 34444552 38750121 51666828 68889104 77500242 103333656 155000484 206667312 310000968 546807263 620001936 1093614526 1640421789 2187229052 2914870213 3280843578 4374458104 4921265367 5829740426 6561687156 8744610639 8748916208 9842530734 11659480852 13123374312 17489221278 19685061468 23318961704 26233831917 26246748624 34978442556 39370122936 46637923408 52467663834 69956885112 78740245872 104935327668 139913770224 209870655336 370188517051 419741310672 740377034102 1110565551153 1480754068204 2221131102306 2961508136408 3331696653459 4442262204612 5923016272816 6663393306918 8884524409224 13326786613836 17769048818448 26653573227672 53307146455344