Search a number
-
+
25242156144 = 2433471243211
BaseRepresentation
bin10111100000100011…
…001011110001110000
32102011011120101121000
4113200203023301300
5403143442444034
615332431002000
71552344533652
oct274043136160
972134511530
1025242156144
11a7835a2577
124a85669300
1324c376088a
1413165c06d2
159cb0a7599
hex5e08cbc70

25242156144 has 80 divisors (see below), whose sum is σ = 73995978240. Its totient is φ = 8235023040.

The previous prime is 25242156113. The next prime is 25242156157. The reversal of 25242156144 is 44165124252.

25242156144 is a `hidden beast` number, since 2 + 5 + 24 + 2 + 15 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25242156099 and 25242156108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601302 + ... + 641909.

It is an arithmetic number, because the mean of its divisors is an integer number (924949728).

Almost surely, 225242156144 is an apocalyptic number.

25242156144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25242156144 is an abundant number, since it is smaller than the sum of its proper divisors (48753822096).

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

25242156144 is a wasteful number, since it uses less digits than its factorization.

25242156144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243275 (or 1243263 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 25242156144 in words is "twenty-five billion, two hundred forty-two million, one hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 1243211 2486422 3729633 4972844 7459266 9945688 11188899 14918532 19891376 22377798 29837064 33566697 44755596 58430917 59674128 67133394 89511192 116861834 134266788 175292751 179022384 233723668 268533576 350585502 467447336 525878253 537067152 701171004 934894672 1051756506 1402342008 1577634759 2103513012 2804684016 3155269518 4207026024 6310539036 8414052048 12621078072 25242156144