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53001232012352 = 26132831429157523
BaseRepresentation
bin11000000110100010011111…
…00110110101010001000000
320221122212102222200020211002
430003101033212311101000
523421333010343343402
6304420232503111132
714110132636543031
oct1403211746652100
9227585388606732
1053001232012352
1115984772805998
125b3bbb14424a8
132375cc1575270
14d133b7da4a88
1561da3c614602
hex30344f9b5440

53001232012352 has 112 divisors (see below), whose sum is σ = 113745144152640. Its totient is φ = 24358456055808.

The previous prime is 53001232012327. The next prime is 53001232012361. The reversal of 53001232012352 is 25321023210035.

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 15 ways as a sum of consecutive naturals, for example, 336387863 + ... + 336545385.

It is an arithmetic number, because the mean of its divisors is an integer number (1015581644220).

Almost surely, 253001232012352 is an apocalyptic number.

53001232012352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53001232012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56872572076320).

53001232012352 is an abundant number, since it is smaller than the sum of its proper divisors (60743912140288).

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

53001232012352 is a wasteful number, since it uses less digits than its factorization.

53001232012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159260 (or 159250 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 53001232012352 its reverse (25321023210035), we get a palindrome (78322255222387).

The spelling of 53001232012352 in words is "fifty-three trillion, one billion, two hundred thirty-two million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 283 416 566 832 1132 1429 2264 2858 3679 4528 5716 7358 9056 11432 14716 18112 18577 22864 29432 37154 45728 58864 74308 91456 117728 148616 157523 235456 297232 315046 404407 594464 630092 808814 1188928 1260184 1617628 2047799 2520368 3235256 4095598 5040736 5257291 6470512 8191196 10081472 10514582 12941024 16382392 21029164 25882048 32764784 42058328 44579009 65529568 84116656 89158018 131059136 168233312 178316036 225100367 336466624 356632072 450200734 579527117 713264144 900401468 1159054234 1426528288 1800802936 2318108468 2853056576 2926304771 3601605872 4636216936 5852609542 7203211744 9272433872 11705219084 14406423488 18544867744 23410438168 37089735488 46820876336 63703403861 93641752672 127406807722 187283505344 254813615444 509627230888 828144250193 1019254461776 1656288500386 2038508923552 3312577000772 4077017847104 6625154001544 13250308003088 26500616006176 53001232012352