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54729059328 = 2103220112953
BaseRepresentation
bin110010111110000110…
…110010110000000000
312020021011101021110100
4302332012302300000
51344041114344303
641050413402400
73645144220506
oct627606626000
9166234337410
1054729059328
1121235144349
12a734799400
135212736598
142912824676
151654b2c8a3
hexcbe1b2c00

54729059328 has 132 divisors (see below), whose sum is σ = 158161094728. Its totient is φ = 18227773440.

The previous prime is 54729059321. The next prime is 54729059351. The reversal of 54729059328 is 82395092745.

54729059328 is a `hidden beast` number, since 5 + 4 + 7 + 29 + 0 + 593 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (54729059321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18531900 + ... + 18534852.

Almost surely, 254729059328 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 54729059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79080547364).

54729059328 is an abundant number, since it is smaller than the sum of its proper divisors (103432035400).

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

54729059328 is a wasteful number, since it uses less digits than its factorization.

54729059328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 54729059328 in words is "fifty-four billion, seven hundred twenty-nine million, fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2011 2304 2953 3072 4022 4608 5906 6033 8044 8859 9216 11812 12066 16088 17718 18099 23624 24132 26577 32176 35436 36198 47248 48264 53154 64352 70872 72396 94496 96528 106308 128704 141744 144792 188992 193056 212616 257408 283488 289584 377984 386112 425232 514816 566976 579168 755968 772224 850464 1029632 1133952 1158336 1511936 1544448 1700928 2059264 2267904 2316672 3023872 3088896 3401856 4535808 4633344 5938483 6177792 6803712 9071616 9266688 11876966 13607424 17815449 18533376 23753932 27214848 35630898 47507864 53446347 71261796 95015728 106892694 142523592 190031456 213785388 285047184 380062912 427570776 570094368 760125824 855141552 1140188736 1520251648 1710283104 2280377472 3040503296 3420566208 4560754944 6081006592 6841132416 9121509888 13682264832 18243019776 27364529664 54729059328