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54344807920 = 24513314141113
BaseRepresentation
bin110010100111001100…
…111111010111110000
312012021101100021121201
4302213030333113300
51342244232323140
640544325500544
73632500150144
oct624714772760
9165241307551
1054344807920
11210582555a7
12a647b71754
135180c4a2a0
1428b779d224
15163102a49a
hexca733f5f0

54344807920 has 160 divisors (see below), whose sum is σ = 143889790464. Its totient is φ = 18944409600.

The previous prime is 54344807911. The next prime is 54344807921. The reversal of 54344807920 is 2970844345.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54344807921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301284 + ... + 1342396.

Almost surely, 254344807920 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 54344807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71944895232).

54344807920 is an abundant number, since it is smaller than the sum of its proper divisors (89544982544).

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

54344807920 is a wasteful number, since it uses less digits than its factorization.

54344807920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41211 (or 41205 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 54344807920 in words is "fifty-four billion, three hundred forty-four million, eight hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 41 52 62 65 80 82 104 124 130 155 164 205 208 248 260 310 328 403 410 496 520 533 620 656 806 820 1040 1066 1240 1271 1612 1640 2015 2132 2480 2542 2665 3224 3280 4030 4264 5084 5330 6355 6448 8060 8528 10168 10660 12710 16120 16523 20336 21320 25420 32240 33046 41113 42640 50840 66092 82226 82615 101680 132184 164452 165230 205565 264368 328904 330460 411130 534469 657808 660920 822260 1068938 1274503 1321840 1644520 1685633 2137876 2549006 2672345 3289040 3371266 4275752 5098012 5344690 6372515 6742532 8428165 8551504 10196024 10689380 12745030 13485064 16568539 16856330 20392048 21378760 21913229 25490060 26970128 33137078 33712660 42757520 43826458 50980120 52254623 66274156 67425320 82842695 87652916 101960240 104509246 109566145 132548312 134850640 165685390 175305832 209018492 219132290 261273115 265096624 331370780 350611664 418036984 438264580 522546230 662741560 679310099 836073968 876529160 1045092460 1325483120 1358620198 1753058320 2090184920 2717240396 3396550495 4180369840 5434480792 6793100990 10868961584 13586201980 27172403960 54344807920