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51552411440 = 2452926998233
BaseRepresentation
bin110000000000110000…
…110101111100110000
311221001202221211202212
4300000300311330300
51321034404131230
635403255031252
73503342160425
oct600060657460
9157052854685
1051552411440
111a954aa0812
129ba896b528
134b27582b8a
1426d0997d4c
15151ace3895
hexc00c35f30

51552411440 has 80 divisors (see below), whose sum is σ = 124053444000. Its totient is φ = 19900102656.

The previous prime is 51552411437. The next prime is 51552411467. The reversal of 51552411440 is 4411425515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×515524114402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51552411397 and 51552411406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6257564 + ... + 6265796.

It is an arithmetic number, because the mean of its divisors is an integer number (1550668050).

Almost surely, 251552411440 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 51552411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62026722000).

51552411440 is an abundant number, since it is smaller than the sum of its proper divisors (72501032560).

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

51552411440 is a wasteful number, since it uses less digits than its factorization.

51552411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 51552411440 its reverse (4411425515), we get a palindrome (55963836955).

The spelling of 51552411440 in words is "fifty-one billion, five hundred fifty-two million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2699 5398 8233 10796 13495 16466 21592 26990 32932 41165 43184 53980 65864 78271 82330 107960 131728 156542 164660 215920 238757 313084 329320 391355 477514 626168 658640 782710 955028 1193785 1252336 1565420 1910056 2387570 3130840 3820112 4775140 6261680 9550280 19100560 22220867 44441734 88883468 111104335 177766936 222208670 355533872 444417340 644405143 888834680 1288810286 1777669360 2577620572 3222025715 5155241144 6444051430 10310482288 12888102860 25776205720 51552411440