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25055142480 = 2433512839041
BaseRepresentation
bin10111010101011001…
…110010001001010000
32101200010200010002000
4113111121302021100
5402303104024410
615302110354000
71544614124424
oct272531621120
971603603060
1025055142480
11a697a7a425
124a32abb900
132493aa24c4
1412d981cb84
159b9965dc0
hex5d5672250

25055142480 has 160 divisors (see below), whose sum is σ = 86377864320. Its totient is φ = 6675425280.

The previous prime is 25055142473. The next prime is 25055142569. The reversal of 25055142480 is 8424155052.

25055142480 is a `hidden beast` number, since 2 + 5 + 0 + 551 + 4 + 24 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2766760 + ... + 2775800.

It is an arithmetic number, because the mean of its divisors is an integer number (539861652).

Almost surely, 225055142480 is an apocalyptic number.

25055142480 is a gapful number since it is divisible by the number (20) 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 25055142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43188932160).

25055142480 is an abundant number, since it is smaller than the sum of its proper divisors (61322721840).

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

25055142480 is a wasteful number, since it uses less digits than its factorization.

25055142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 25055142480 in words is "twenty-five billion, fifty-five million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1283 2160 2566 3849 5132 6415 7698 9041 10264 11547 12830 15396 18082 19245 20528 23094 25660 27123 30792 34641 36164 38490 45205 46188 51320 54246 57735 61584 69282 72328 76980 81369 90410 92376 102640 108492 115470 135615 138564 144656 153960 162738 173205 180820 184752 216984 230940 244107 271230 277128 307920 325476 346410 361640 406845 433968 461880 488214 542460 554256 650952 692820 723280 813690 923760 976428 1084920 1220535 1301904 1385640 1627380 1952856 2169840 2441070 2771280 3254760 3905712 4882140 6509520 9764280 11599603 19528560 23199206 34798809 46398412 57998015 69597618 92796824 104396427 115996030 139195236 173994045 185593648 208792854 231992060 278390472 313189281 347988090 417585708 463984120 521982135 556780944 626378562 695976180 835171416 927968240 1043964270 1252757124 1391952360 1565946405 1670342832 2087928540 2505514248 2783904720 3131892810 4175857080 5011028496 6263785620 8351714160 12527571240 25055142480