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25672051840 = 275233172157
BaseRepresentation
bin10111111010001011…
…000110110010000000
32110021010111100121211
4113322023012302000
5410034021124330
615443225055504
71566114561121
oct277213066200
973233440554
1025672051840
11a984227576
124b85627594
13256183b826
141357728048
15a03bc3d2a
hex5fa2c6c80

25672051840 has 64 divisors (see below), whose sum is σ = 61636007160. Its totient is φ = 10224689152.

The previous prime is 25672051829. The next prime is 25672051871. The reversal of 25672051840 is 4815027652.

It can be written as a sum of positive squares in 4 ways, for example, as 12087683136 + 13584368704 = 109944^2 + 116552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 25672051793 and 25672051802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63042 + ... + 235198.

Almost surely, 225672051840 is an apocalyptic number.

25672051840 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 25672051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30818003580).

25672051840 is an abundant number, since it is smaller than the sum of its proper divisors (35963955320).

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

25672051840 is a wasteful number, since it uses less digits than its factorization.

25672051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172409 (or 172397 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 25672051840 in words is "twenty-five billion, six hundred seventy-two million, fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 320 466 640 932 1165 1864 2330 3728 4660 7456 9320 14912 18640 29824 37280 74560 149120 172157 344314 688628 860785 1377256 1721570 2754512 3443140 5509024 6886280 11018048 13772560 22036096 27545120 40112581 55090240 80225162 110180480 160450324 200562905 320900648 401125810 641801296 802251620 1283602592 1604503240 2567205184 3209006480 5134410368 6418012960 12836025920 25672051840