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63372344046 = 23116171733037
BaseRepresentation
bin111011000001010010…
…010011101011101110
320001120112020122002120
4323001102103223232
52014241310002141
645040213133410
74402266015354
oct730122235356
9201515218076
1063372344046
1124970044060
121034732a266
135c8c31bc3b
1430d27017d4
1519ad845c66
hexec1493aee

63372344046 has 128 divisors (see below), whose sum is σ = 144512750592. Its totient is φ = 18361728000.

The previous prime is 63372344003. The next prime is 63372344059. The reversal of 63372344046 is 64044327336.

It is a junction number, because it is equal to n+sod(n) for n = 63372343989 and 63372344007.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 20865240 + ... + 20868276.

It is an arithmetic number, because the mean of its divisors is an integer number (1129005864).

Almost surely, 263372344046 is an apocalyptic number.

63372344046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 63372344046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72256375296).

63372344046 is an abundant number, since it is smaller than the sum of its proper divisors (81140406546).

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

63372344046 is a wasteful number, since it uses less digits than its factorization.

63372344046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258.

The product of its (nonzero) digits is 870912, while the sum is 42.

The spelling of 63372344046 in words is "sixty-three billion, three hundred seventy-two million, three hundred forty-four thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 61 66 71 73 122 142 146 183 213 219 366 426 438 671 781 803 1342 1562 1606 2013 2343 2409 3037 4026 4331 4453 4686 4818 5183 6074 8662 8906 9111 10366 12993 13359 15549 18222 25986 26718 31098 33407 47641 48983 57013 66814 95282 97966 100221 114026 142923 146949 171039 185257 200442 215627 221701 285846 293898 316163 342078 370514 431254 443402 555771 632326 646881 665103 948489 1111542 1293762 1330206 1896978 2037827 2371897 2438711 3477793 4075654 4743794 4877422 6113481 6955586 7115691 7316133 10433379 12226962 13153247 13523761 14231382 14632266 15740771 20866758 26306494 27047522 31481542 39459741 40571283 47222313 78919482 81142566 94444626 144685717 148761371 173148481 289371434 297522742 346296962 434057151 446284113 519445443 868114302 892568226 960187031 1038890886 1920374062 2880561093 5761122186 10562057341 21124114682 31686172023 63372344046