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53212443408 = 24322383193573
BaseRepresentation
bin110001100011101101…
…010111001100010000
312002100110121012112100
4301203231113030100
51332434341142113
640240115200400
73562440206655
oct614355271420
9162313535470
1053212443408
1120627045363
12a3908a6100
135030477307
14280b237c2c
1515b68eed73
hexc63b57310

53212443408 has 120 divisors (see below), whose sum is σ = 157268809152. Its totient is φ = 16761786624.

The previous prime is 53212443397. The next prime is 53212443443. The reversal of 53212443408 is 80434421235.

53212443408 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 244 + 3 + 408 = 666.

It is a super-3 number, since 3×532124434083 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 178110 + ... + 371682.

Almost surely, 253212443408 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 53212443408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78634404576).

53212443408 is an abundant number, since it is smaller than the sum of its proper divisors (104056365744).

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

53212443408 is a wasteful number, since it uses less digits than its factorization.

53212443408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193693 (or 193684 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 53212443408 in words is "fifty-three billion, two hundred twelve million, four hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 83 92 138 144 166 184 207 249 276 332 368 414 498 552 664 747 828 996 1104 1328 1494 1656 1909 1992 2988 3312 3818 3984 5727 5976 7636 11454 11952 15272 17181 22908 30544 34362 45816 68724 91632 137448 193573 274896 387146 580719 774292 1161438 1548584 1742157 2322876 3097168 3484314 4452179 4645752 6968628 8904358 9291504 13356537 13937256 16066559 17808716 26713074 27874512 32133118 35617432 40069611 48199677 53426148 64266236 71234864 80139222 96399354 106852296 128532472 144599031 160278444 192798708 213704592 257064944 289198062 320556888 369530857 385597416 578396124 641113776 739061714 771194832 1108592571 1156792248 1478123428 2217185142 2313584496 2956246856 3325777713 4434370284 5912493712 6651555426 8868740568 13303110852 17737481136 26606221704 53212443408