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54131050240 = 285191221413
BaseRepresentation
bin110010011010011101…
…100100011100000000
312011201111010021012121
4302122131210130000
51341330022101430
640511212134024
73624263223001
oct623235443400
9164644107177
1054131050240
1120a58626263
12a5a8467314
135148886c57
1428972391a8
15161c3a4a7a
hexc9a764700

54131050240 has 72 divisors (see below), whose sum is σ = 130340222208. Its totient is φ = 21538959360.

The previous prime is 54131050213. The next prime is 54131050277. The reversal of 54131050240 is 4205013145.

It is a happy number.

It is a congruent number.

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, 133774 + ... + 355186.

It is an arithmetic number, because the mean of its divisors is an integer number (1810280864).

Almost surely, 254131050240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54131050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65170111104).

54131050240 is an abundant number, since it is smaller than the sum of its proper divisors (76209171968).

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

54131050240 is a wasteful number, since it uses less digits than its factorization.

54131050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221625 (or 221611 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 54131050240 its reverse (4205013145), we get a palindrome (58336063385).

The spelling of 54131050240 in words is "fifty-four billion, one hundred thirty-one million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 256 320 382 640 764 955 1280 1528 1910 3056 3820 6112 7640 12224 15280 24448 30560 48896 61120 122240 221413 244480 442826 885652 1107065 1771304 2214130 3542608 4428260 7085216 8856520 14170432 17713040 28340864 35426080 42289883 56681728 70852160 84579766 141704320 169159532 211449415 283408640 338319064 422898830 676638128 845797660 1353276256 1691595320 2706552512 3383190640 5413105024 6766381280 10826210048 13532762560 27065525120 54131050240