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25552103424 = 211311533607
BaseRepresentation
bin10111110011000001…
…100010100000000000
32102221202210100022220
4113303001202200000
5404312314302144
615423302131040
71563130203231
oct276301424000
972852710286
1025552103424
11a922550551
124b51420a80
132542a32233
141345823088
159e83cd919
hex5f3062800

25552103424 has 96 divisors (see below), whose sum is σ = 68200292160. Its totient is φ = 8507621376.

The previous prime is 25552103411. The next prime is 25552103429. The reversal of 25552103424 is 42430125552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25552103429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7082229 + ... + 7085835.

It is an arithmetic number, because the mean of its divisors is an integer number (710419710).

Almost surely, 225552103424 is an apocalyptic number.

25552103424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25552103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34100146080).

25552103424 is an abundant number, since it is smaller than the sum of its proper divisors (42648188736).

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

25552103424 is a wasteful number, since it uses less digits than its factorization.

25552103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 25552103424 its reverse (42430125552), we get a palindrome (67982228976).

The spelling of 25552103424 in words is "twenty-five billion, five hundred fifty-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1153 1536 2048 2306 3072 3459 3607 4612 6144 6918 7214 9224 10821 13836 14428 18448 21642 27672 28856 36896 43284 55344 57712 73792 86568 110688 115424 147584 173136 221376 230848 295168 346272 442752 461696 590336 692544 885504 923392 1180672 1385088 1771008 1846784 2361344 2770176 3542016 3693568 4158871 5540352 7084032 7387136 8317742 11080704 12476613 16635484 22161408 24953226 33270968 49906452 66541936 99812904 133083872 199625808 266167744 399251616 532335488 798503232 1064670976 1597006464 2129341952 3194012928 4258683904 6388025856 8517367808 12776051712 25552103424