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53343066672 = 2433757130893
BaseRepresentation
bin110001101011011111…
…101001101000110000
312002200120101112222000
4301223133221220300
51333221311113142
640301103014000
73565614404550
oct615337515060
9162616345860
1053343066672
1120693852575
12a40859a300
13505155069c
14282071b160
1515c310314c
hexc6b7e9a30

53343066672 has 160 divisors (see below), whose sum is σ = 175299970560. Its totient is φ = 15213692160.

The previous prime is 53343066659. The next prime is 53343066703. The reversal of 53343066672 is 27666034335.

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, 1711258 + ... + 1742150.

It is an arithmetic number, because the mean of its divisors is an integer number (1095624816).

Almost surely, 253343066672 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 53343066672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87649985280).

53343066672 is an abundant number, since it is smaller than the sum of its proper divisors (121956903888).

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

53343066672 is a wasteful number, since it uses less digits than its factorization.

53343066672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31488 (or 31476 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 53343066672 in words is "fifty-three billion, three hundred forty-three million, sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 571 756 1008 1142 1512 1713 2284 3024 3426 3997 4568 5139 6852 7994 9136 10278 11991 13704 15417 15988 20556 23982 27408 30834 30893 31976 35973 41112 47964 61668 61786 63952 71946 82224 92679 95928 107919 123336 123572 143892 185358 191856 215838 216251 246672 247144 278037 287784 370716 431676 432502 494288 556074 575568 648753 741432 834111 863352 865004 1112148 1297506 1482864 1668222 1726704 1730008 1946259 2224296 2595012 3336444 3460016 3892518 4448592 5190024 5838777 6672888 7785036 10380048 11677554 13345776 15570072 17639903 23355108 31140144 35279806 46710216 52919709 70559612 93420432 105839418 123479321 141119224 158759127 211678836 246958642 282238448 317518254 370437963 423357672 476277381 493917284 635036508 740875926 846715344 952554762 987834568 1111313889 1270073016 1481751852 1905109524 1975669136 2222627778 2540146032 2963503704 3333941667 3810219048 4445255556 5927007408 6667883334 7620438096 8890511112 13335766668 17781022224 26671533336 53343066672