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51741917376 = 2635322372273
BaseRepresentation
bin110000001100000011…
…110000000011000000
311221112222112202001020
4300030003300003000
51321431412324001
635434144505440
73511133020032
oct601403600300
9157488482036
1051741917376
111aa41a66396
12a04031b280
134b57904776
14270bc07c52
15152c778736
hexc0c0f00c0

51741917376 has 112 divisors (see below), whose sum is σ = 139607263584. Its totient is φ = 16906878976.

The previous prime is 51741917369. The next prime is 51741917377. The reversal of 51741917376 is 67371914715.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51741917377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22762576 + ... + 22764848.

Almost surely, 251741917376 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 51741917376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69803631792).

51741917376 is an abundant number, since it is smaller than the sum of its proper divisors (87865346208).

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

51741917376 is a wasteful number, since it uses less digits than its factorization.

51741917376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4568 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 51.

The spelling of 51741917376 in words is "fifty-one billion, seven hundred forty-one million, nine hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2237 2273 2544 3392 4474 4546 5088 6711 6819 8948 9092 10176 13422 13638 17896 18184 26844 27276 35792 36368 53688 54552 71584 72736 107376 109104 118561 120469 143168 145472 214752 218208 237122 240938 355683 361407 429504 436416 474244 481876 711366 722814 948488 963752 1422732 1445628 1896976 1927504 2845464 2891256 3793952 3855008 5084701 5690928 5782512 7587904 7710016 10169402 11381856 11565024 15254103 20338804 22763712 23130048 30508206 40677608 61016412 81355216 122032824 162710432 244065648 269489153 325420864 488131296 538978306 808467459 976262592 1077956612 1616934918 2155913224 3233869836 4311826448 6467739672 8623652896 12935479344 17247305792 25870958688 51741917376