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61121250016 = 25174722710531
BaseRepresentation
bin111000111011000111…
…000100001011100000
312211202122102012121121
4320323013010023200
52000134020000031
644025000302024
74262433024121
oct707307041340
9184678365547
1061121250016
1123a15396872
12ba19471914
1359c0b3b238
142d5b764048
1518cadd5011
hexe3b1c42e0

61121250016 has 96 divisors (see below), whose sum is σ = 130707343872. Its totient is φ = 28024289280.

The previous prime is 61121250013. The next prime is 61121250023. The reversal of 61121250016 is 61005212116.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61121250013) 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, 5798671 + ... + 5809201.

It is an arithmetic number, because the mean of its divisors is an integer number (1361534832).

Almost surely, 261121250016 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 61121250016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65353671936).

61121250016 is an abundant number, since it is smaller than the sum of its proper divisors (69586093856).

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

61121250016 is a wasteful number, since it uses less digits than its factorization.

61121250016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 61121250016 in words is "sixty-one billion, one hundred twenty-one million, two hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 227 272 376 454 544 752 799 908 1504 1598 1816 3196 3632 3859 6392 7264 7718 10531 10669 12784 15436 21062 21338 25568 30872 42124 42676 61744 84248 85352 123488 168496 170704 179027 181373 336992 341408 358054 362746 494957 716108 725492 989914 1432216 1450984 1979828 2390537 2864432 2901968 3959656 4781074 5728864 5803936 7919312 8414269 9562148 15838624 16828538 19124296 33657076 38248592 40639129 67314152 76497184 81278258 112355239 134628304 162556516 224710478 269256608 325113032 449420956 650226064 898841912 1300452128 1797683824 1910039063 3595367648 3820078126 7640156252 15280312504 30560625008 61121250016