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25454801440 = 2554725713171
BaseRepresentation
bin10111101101001110…
…010111001000100000
32102200222200220002201
4113231032113020200
5404112412121230
615405504422544
71560536146045
oct275516271040
972628626081
1025454801440
11a882632092
124b24917a54
1325288247b3
1413369351cc
159deaad5ca
hex5ed397220

25454801440 has 96 divisors (see below), whose sum is σ = 61660134144. Its totient is φ = 9925754880.

The previous prime is 25454801399. The next prime is 25454801441. The reversal of 25454801440 is 4410845452.

It is a self number, because there is not a number n which added to its sum of digits gives 25454801440.

It is not an unprimeable number, because it can be changed into a prime (25454801441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926055 + ... + 1939225.

It is an arithmetic number, because the mean of its divisors is an integer number (642293064).

Almost surely, 225454801440 is an apocalyptic number.

25454801440 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 25454801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30830067072).

25454801440 is an abundant number, since it is smaller than the sum of its proper divisors (36205332704).

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

25454801440 is a wasteful number, since it uses less digits than its factorization.

25454801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13490 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 37.

The spelling of 25454801440 in words is "twenty-five billion, four hundred fifty-four million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 257 376 470 514 752 940 1028 1285 1504 1880 2056 2570 3760 4112 5140 7520 8224 10280 12079 13171 20560 24158 26342 41120 48316 52684 60395 65855 96632 105368 120790 131710 193264 210736 241580 263420 386528 421472 483160 526840 619037 966320 1053680 1238074 1932640 2107360 2476148 3095185 3384947 4952296 6190370 6769894 9904592 12380740 13539788 16924735 19809184 24761480 27079576 33849470 49522960 54159152 67698940 99045920 108318304 135397880 159092509 270795760 318185018 541591520 636370036 795462545 1272740072 1590925090 2545480144 3181850180 5090960288 6363700360 12727400720 25454801440