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54614172032 = 277436721157
BaseRepresentation
bin110010110111010000…
…100010000110000000
312012222011012101201022
4302313100202012000
51343322212001112
641031151125012
73642250542230
oct626720420600
9165864171638
1054614172032
1121186304872
12a702213768
1351c49ac834
142901479cc0
1516499d6d72
hexcb7422180

54614172032 has 128 divisors (see below), whose sum is σ = 129141661440. Its totient is φ = 22519461888.

The previous prime is 54614171999. The next prime is 54614172043. The reversal of 54614172032 is 23027141645.

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

It is a junction number, because it is equal to n+sod(n) for n = 54614171983 and 54614172001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2570798 + ... + 2591954.

It is an arithmetic number, because the mean of its divisors is an integer number (1008919230).

Almost surely, 254614172032 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 54614172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64570830720).

54614172032 is an abundant number, since it is smaller than the sum of its proper divisors (74527489408).

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

54614172032 is a wasteful number, since it uses less digits than its factorization.

54614172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21288 (or 21276 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 54614172032 in words is "fifty-four billion, six hundred fourteen million, one hundred seventy-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 67 86 112 128 134 172 224 268 301 344 448 469 536 602 688 896 938 1072 1204 1376 1876 2144 2408 2752 2881 3752 4288 4816 5504 5762 7504 8576 9632 11524 15008 19264 20167 21157 23048 30016 38528 40334 42314 46096 60032 80668 84628 92192 148099 161336 169256 184384 296198 322672 338512 368768 592396 645344 677024 909751 1184792 1290688 1354048 1417519 1819502 2369584 2581376 2708096 2835038 3639004 4739168 5670076 6368257 7278008 9478336 9922633 11340152 12736514 14556016 18956672 19845266 22680304 25473028 29112032 39690532 45360608 50946056 58224064 60953317 79381064 90721216 101892112 116448128 121906634 158762128 181442432 203784224 243813268 317524256 407568448 426673219 487626536 635048512 815136896 853346438 975253072 1270097024 1706692876 1950506144 3413385752 3901012288 6826771504 7802024576 13653543008 27307086016 54614172032