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54344429160 = 23357359180211
BaseRepresentation
bin110010100111001011…
…100010111001101000
312012021100122001001120
4302213023202321220
51342244133213120
640544313415240
73632464011660
oct624713427150
9165240561046
1054344429160
1121058016a7a
12a647a0a520
135180b46a78
1428b77011a0
151630ea3140
hexca72e2e68

54344429160 has 128 divisors (see below), whose sum is σ = 186843801600. Its totient is φ = 12386914560.

The previous prime is 54344429123. The next prime is 54344429171. The reversal of 54344429160 is 6192444345.

54344429160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211455 + ... + 391665.

It is an arithmetic number, because the mean of its divisors is an integer number (1459717200).

Almost surely, 254344429160 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 54344429160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93421900800).

54344429160 is an abundant number, since it is smaller than the sum of its proper divisors (132499372440).

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

54344429160 is a wasteful number, since it uses less digits than its factorization.

54344429160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180591 (or 180587 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 54344429160 in words is "fifty-four billion, three hundred forty-four million, four hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 359 420 718 840 1077 1436 1795 2154 2513 2872 3590 4308 5026 5385 7180 7539 8616 10052 10770 12565 14360 15078 20104 21540 25130 30156 37695 43080 50260 60312 75390 100520 150780 180211 301560 360422 540633 720844 901055 1081266 1261477 1441688 1802110 2162532 2522954 2703165 3604220 3784431 4325064 5045908 5406330 6307385 7208440 7568862 10091816 10812660 12614770 15137724 18922155 21625320 25229540 30275448 37844310 50459080 64695749 75688620 129391498 151377240 194087247 258782996 323478745 388174494 452870243 517565992 646957490 776348988 905740486 970436235 1293914980 1358610729 1552697976 1811480972 1940872470 2264351215 2587829960 2717221458 3622961944 3881744940 4528702430 5434442916 6793053645 7763489880 9057404860 10868885832 13586107290 18114809720 27172214580 54344429160