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51132135560 = 235111740117047
BaseRepresentation
bin101111100111101101…
…100111100010001000
311212222111010121122112
4233213231213202020
51314204311314220
635253443041452
73460046660342
oct574755474210
9155874117575
1051132135560
111a759837280
129ab0070288
134a8b49271c
142690c36292
1514e3e775c5
hexbe7b67888

51132135560 has 128 divisors (see below), whose sum is σ = 133228074240. Its totient is φ = 17455104000.

The previous prime is 51132135503. The next prime is 51132135563. The reversal of 51132135560 is 6553123115.

It is a super-2 number, since 2×511321355602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51132135563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2990957 + ... + 3008003.

It is an arithmetic number, because the mean of its divisors is an integer number (1040844330).

Almost surely, 251132135560 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 51132135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66614037120).

51132135560 is an abundant number, since it is smaller than the sum of its proper divisors (82095938680).

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

51132135560 is a wasteful number, since it uses less digits than its factorization.

51132135560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17487 (or 17483 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 51132135560 its reverse (6553123115), we get a palindrome (57685258675).

The spelling of 51132135560 in words is "fifty-one billion, one hundred thirty-two million, one hundred thirty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 401 440 680 748 802 935 1496 1604 1870 2005 3208 3740 4010 4411 6817 7480 8020 8822 13634 16040 17047 17644 22055 27268 34085 34094 35288 44110 54536 68170 68188 74987 85235 88220 136340 136376 149974 170470 176440 187517 272680 289799 299948 340940 374935 375034 579598 599896 681880 749870 750068 937585 1159196 1448995 1499740 1500136 1875170 2318392 2897990 2999480 3187789 3750340 5795980 6375578 6835847 7500680 11591960 12751156 13671694 15938945 25502312 27343388 31877890 34179235 54686776 63755780 68358470 75194317 116209399 127511560 136716940 150388634 232418798 273433880 300777268 375971585 464837596 581046995 601554536 751943170 929675192 1162093990 1278303389 1503886340 2324187980 2556606778 3007772680 4648375960 5113213556 6391516945 10226427112 12783033890 25566067780 51132135560