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20154417568 = 256118315639
BaseRepresentation
bin10010110001010011…
…000000000110100000
31221000121002111022221
4102301103000012200
5312234012330233
613131523040424
71312305502615
oct226123000640
957017074287
1020154417568
11860270924a
123aa5810114
131b9269248c
14d92a0050c
157ce5be42d
hex4b14c01a0

20154417568 has 48 divisors (see below), whose sum is σ = 40358666880. Its totient is φ = 9904838400.

The previous prime is 20154417551. The next prime is 20154417583. The reversal of 20154417568 is 86571445102.

It is a super-4 number, since 4×201544175684 (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3571293 + ... + 3576931.

It is an arithmetic number, because the mean of its divisors is an integer number (840805560).

Almost surely, 220154417568 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 20154417568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179333440).

20154417568 is an abundant number, since it is smaller than the sum of its proper divisors (20204249312).

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

20154417568 is a wasteful number, since it uses less digits than its factorization.

20154417568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 20154417568 in words is "twenty billion, one hundred fifty-four million, four hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1831 1952 3662 5639 7324 11278 14648 22556 29296 45112 58592 90224 111691 180448 223382 343979 446764 687958 893528 1375916 1787056 2751832 3574112 5503664 10325009 11007328 20650018 41300036 82600072 165200144 330400288 629825549 1259651098 2519302196 5038604392 10077208784 20154417568