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25422419072 = 271728292
BaseRepresentation
bin10111101011010010…
…110101010010000000
32102121201202200211202
4113223102311102000
5404031114402242
615402350400332
71556663665601
oct275322652200
972551680752
1025422419072
11a8663247a6
124b15b000a8
132521bc732b
141332505da8
159dbd13932
hex5eb4b5480

25422419072 has 72 divisors (see below), whose sum is σ = 53865638235. Its totient is φ = 11949060096.

The previous prime is 25422419069. The next prime is 25422419093. The reversal of 25422419072 is 27091422452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 21308992576 + 4113426496 = 145976^2 + 64136^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=112744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30665954 + ... + 30666782.

Almost surely, 225422419072 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 25422419072

25422419072 is an abundant number, since it is smaller than the sum of its proper divisors (28443219163).

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

25422419072 is an frugal number, since it uses more digits than its factorization.

25422419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 25422419072 in words is "twenty-five billion, four hundred twenty-two million, four hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 829 1088 1156 1658 2176 2312 3316 4624 6632 9248 13264 14093 18496 26528 28186 36992 53056 56372 106112 112744 225488 239581 450976 479162 687241 901952 958324 1374482 1803904 1916648 2748964 3833296 5497928 7666592 10995856 11683097 15333184 21991712 23366194 30666368 43983424 46732388 87966848 93464776 186929552 198612649 373859104 397225298 747718208 794450596 1495436416 1588901192 3177802384 6355604768 12711209536 25422419072