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54424234880 = 2753111872311
BaseRepresentation
bin110010101011111011…
…111110101110000000
312012110220210120220222
4302223323332232000
51342430101004010
641000244122212
73634453235501
oct625373765600
9165426716828
1054424234880
1121099075214
12a66a696368
1351945398a2
1428c4156ba8
151637eb9355
hexcabefeb80

54424234880 has 128 divisors (see below), whose sum is σ = 134476277760. Its totient is φ = 21040588800.

The previous prime is 54424234867. The next prime is 54424234903. The reversal of 54424234880 is 8843242445.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×544242348802 (a number of 22 digits) contains 22 as substring.

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, 23548925 + ... + 23551235.

It is an arithmetic number, because the mean of its divisors is an integer number (1050595920).

Almost surely, 254424234880 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 54424234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67238138880).

54424234880 is an abundant number, since it is smaller than the sum of its proper divisors (80052042880).

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

54424234880 is a wasteful number, since it uses less digits than its factorization.

54424234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 44.

The spelling of 54424234880 in words is "fifty-four billion, four hundred twenty-four million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1187 1240 1984 2311 2374 2480 3968 4622 4748 4960 5935 9244 9496 9920 11555 11870 18488 18992 19840 23110 23740 36797 36976 37984 46220 47480 71641 73594 73952 75968 92440 94960 143282 147188 147904 151936 183985 184880 189920 286564 294376 295808 358205 367970 369760 379840 573128 588752 716410 735940 739520 759680 1146256 1177504 1432820 1471880 1479040 2292512 2355008 2743157 2865640 2943760 4585024 4710016 5486314 5731280 5887520 9170048 10972628 11462560 11775040 13715785 21945256 22925120 23550080 27431570 43890512 45850240 54863140 85037867 87781024 109726280 170075734 175562048 219452560 340151468 351124096 425189335 438905120 680302936 850378670 877810240 1360605872 1700757340 1755620480 2721211744 3401514680 5442423488 6803029360 10884846976 13606058720 27212117440 54424234880