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25928728576 = 216172372
BaseRepresentation
bin11000001001011110…
…010000000000000000
32110221000110212220121
4120021132100000000
5411100223303301
615524514350024
71605352361602
oct301136200000
973830425817
1025928728576
11aaa6100603
12503758b314
1325a2a7b25a
14137d861172
15a1b4c63a1
hex609790000

25928728576 has 153 divisors (see below), whose sum is σ = 56615987379. Its totient is φ = 11871977472.

The previous prime is 25928728561. The next prime is 25928728577. The reversal of 25928728576 is 67582782952.

The square root of 25928728576 is 161024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12061310976 + 13867417600 = 109824^2 + 117760^2 .

It is a Duffinian number.

Its product of digits (33868800) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (25928728577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 700776430 + ... + 700776466.

Almost surely, 225928728576 is an apocalyptic number.

25928728576 is the 161024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25928728576

25928728576 is an abundant number, since it is smaller than the sum of its proper divisors (30687258803).

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

25928728576 is an frugal number, since it uses more digits than its factorization.

25928728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 56 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 61.

The spelling of 25928728576 in words is "twenty-five billion, nine hundred twenty-eight million, seven hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 289 296 512 544 578 592 629 1024 1088 1156 1184 1258 1369 2048 2176 2312 2368 2516 2738 4096 4352 4624 4736 5032 5476 8192 8704 9248 9472 10064 10693 10952 16384 17408 18496 18944 20128 21386 21904 23273 32768 34816 36992 37888 40256 42772 43808 46546 65536 69632 73984 75776 80512 85544 87616 93092 139264 147968 151552 161024 171088 175232 186184 278528 295936 303104 322048 342176 350464 372368 395641 557056 591872 606208 644096 684352 700928 744736 791282 1114112 1183744 1212416 1288192 1368704 1401856 1489472 1582564 2367488 2424832 2576384 2737408 2803712 2978944 3165128 4734976 5152768 5474816 5607424 5957888 6330256 9469952 10305536 10949632 11214848 11915776 12660512 18939904 20611072 21899264 22429696 23831552 25321024 41222144 43798528 44859392 47663104 50642048 87597056 89718784 95326208 101284096 175194112 190652416 202568192 350388224 381304832 405136384 700776448 762609664 810272768 1525219328 1620545536 3241091072 6482182144 12964364288 25928728576