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25552755712 = 210112419413
BaseRepresentation
bin10111110011000100…
…000001110000000000
32102221211000111002201
4113303010001300000
5404313001140322
615423324122544
71563135561031
oct276304016000
972854014081
1025552755712
11a922956630
124b51696454
132542c000c3
141345952a88
159e84abd27
hex5f3101c00

25552755712 has 88 divisors (see below), whose sum is σ = 55961410032. Its totient is φ = 11565465600.

The previous prime is 25552755689. The next prime is 25552755713. The reversal of 25552755712 is 21755725552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25552755713) 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, 2709918 + ... + 2719330.

It is an arithmetic number, because the mean of its divisors is an integer number (635925114).

Almost surely, 225552755712 is an apocalyptic number.

25552755712 is a gapful number since it is divisible by the number (22) 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 25552755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980705016).

25552755712 is an abundant number, since it is smaller than the sum of its proper divisors (30408654320).

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

25552755712 is a wasteful number, since it uses less digits than its factorization.

25552755712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9667 counting only the distinct ones).

The product of its digits is 1225000, while the sum is 46.

The spelling of 25552755712 in words is "twenty-five billion, five hundred fifty-two million, seven hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 241 256 352 482 512 704 964 1024 1408 1928 2651 2816 3856 5302 5632 7712 9413 10604 11264 15424 18826 21208 30848 37652 42416 61696 75304 84832 103543 123392 150608 169664 207086 246784 301216 339328 414172 602432 678656 828344 1204864 1357312 1656688 2268533 2409728 2714624 3313376 4537066 4819456 6626752 9074132 9638912 13253504 18148264 24953863 26507008 36296528 49907726 53014016 72593056 99815452 106028032 145186112 199630904 290372224 399261808 580744448 798523616 1161488896 1597047232 2322977792 3194094464 6388188928 12776377856 25552755712