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54320920940 = 225111330016329
BaseRepresentation
bin110010100101110001…
…110111100101101100
312012012201101200211202
4302211301313211230
51342222123432230
640542113505032
73632060131616
oct624561674554
9165181350752
1054320920940
112104581a9a0
12a63bb72178
135179005890
1428b4541db6
15162ddaca45
hexca5c7796c

54320920940 has 96 divisors (see below), whose sum is σ = 134082768960. Its totient is φ = 18224640000.

The previous prime is 54320920937. The next prime is 54320920987. The reversal of 54320920940 is 4902902345.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54320920894 and 54320920903.

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, 8579696 + ... + 8586024.

It is an arithmetic number, because the mean of its divisors is an integer number (1396695510).

Almost surely, 254320920940 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 54320920940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67041384480).

54320920940 is an abundant number, since it is smaller than the sum of its proper divisors (79761848020).

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

54320920940 is a wasteful number, since it uses less digits than its factorization.

54320920940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 54320920940 in words is "fifty-four billion, three hundred twenty million, nine hundred twenty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3001 6002 6329 12004 12658 15005 25316 30010 31645 33011 39013 60020 63290 66022 69619 78026 82277 126580 132044 139238 156052 164554 165055 195065 278476 329108 330110 348095 390130 411385 429143 660220 696190 780260 822770 858286 905047 1392380 1645540 1716572 1810094 2145715 3620188 4291430 4525235 8582860 9050470 18100940 18993329 37986658 75973316 94966645 189933290 208926619 246913277 379866580 417853238 493826554 835706476 987653108 1044633095 1234566385 2089266190 2469132770 2716046047 4178532380 4938265540 5432092094 10864184188 13580230235 27160460470 54320920940