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51419303104 = 2613416132459
BaseRepresentation
bin101111111000110101…
…000100110011000000
311220201111111020110111
4233320311010303000
51320301320144404
635342142041104
73500134602451
oct577065046300
9156644436414
1051419303104
111a896946524
129b70279194
134b05b19650
1426bb029128
15150e29e104
hexbf8d44cc0

51419303104 has 112 divisors (see below), whose sum is σ = 112793617440. Its totient is φ = 23105986560.

The previous prime is 51419303099. The next prime is 51419303137. The reversal of 51419303104 is 40130391415.

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 15 ways as a sum of consecutive naturals, for example, 20909427 + ... + 20911885.

It is an arithmetic number, because the mean of its divisors is an integer number (1007085870).

Almost surely, 251419303104 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 51419303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56396808720).

51419303104 is an abundant number, since it is smaller than the sum of its proper divisors (61374314336).

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

51419303104 is a wasteful number, since it uses less digits than its factorization.

51419303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 51419303104 its reverse (40130391415), we get a palindrome (91549694519).

The spelling of 51419303104 in words is "fifty-one billion, four hundred nineteen million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 613 656 832 1066 1226 1312 2132 2452 2459 2624 4264 4904 4918 7969 8528 9808 9836 15938 17056 19616 19672 25133 31876 31967 34112 39232 39344 50266 63752 63934 78688 100532 100819 127504 127868 157376 201064 201638 255008 255736 326729 402128 403276 510016 511472 653458 804256 806552 1022944 1306916 1310647 1507367 1608512 1613104 2045888 2613832 2621294 3014734 3226208 5227664 5242588 6029468 6452416 10455328 10485176 12058936 19595771 20910656 20970352 24117872 39191542 41940704 48235744 61802047 78383084 83881408 96471488 123604094 156766168 247208188 313532336 494416376 627064672 803426611 988832752 1254129344 1606853222 1977665504 3213706444 3955331008 6427412888 12854825776 25709651552 51419303104