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25142420556 = 223211311204151
BaseRepresentation
bin10111011010100110…
…101110010001001100
32101220012220022002100
4113122212232101030
5402442424424211
615314505155100
71550024022441
oct273246562114
971805808070
1025142420556
11a732271770
124a5818ba90
1324a8bb0536
14130725b9c8
159c2456156
hex5da9ae44c

25142420556 has 72 divisors (see below), whose sum is σ = 69555403008. Its totient is φ = 7594380000.

The previous prime is 25142420549. The next prime is 25142420573. The reversal of 25142420556 is 65502424152.

25142420556 is a `hidden beast` number, since 25 + 1 + 42 + 42 + 0 + 556 = 666.

It is a super-2 number, since 2×251424205562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 25142420556.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21081 + ... + 225231.

It is an arithmetic number, because the mean of its divisors is an integer number (966047264).

Almost surely, 225142420556 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 25142420556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34777701504).

25142420556 is an abundant number, since it is smaller than the sum of its proper divisors (44412982452).

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

25142420556 is a wasteful number, since it uses less digits than its factorization.

25142420556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204483 (or 204478 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 25142420556 in words is "twenty-five billion, one hundred forty-two million, four hundred twenty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 311 396 622 933 1244 1866 2799 3421 3732 5598 6842 10263 11196 13684 20526 30789 41052 61578 123156 204151 408302 612453 816604 1224906 1837359 2245661 2449812 3674718 4491322 6736983 7349436 8982644 13473966 20210949 26947932 40421898 63490961 80843796 126981922 190472883 253963844 380945766 571418649 698400571 761891532 1142837298 1396801142 2095201713 2285674596 2793602284 4190403426 6285605139 8380806852 12571210278 25142420556