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54922661928 = 233311310512141
BaseRepresentation
bin110011001001101001…
…010101000000101000
312020202122200022022000
4303021221111000220
51344440200140203
641121531131000
73653014631541
oct631151250050
9166678608260
1054922661928
11213244578a2
12a7895a3a60
135243890a34
14293041d4c8
151666b214a3
hexcc9a55028

54922661928 has 128 divisors (see below), whose sum is σ = 154131465600. Its totient is φ = 18119808000.

The previous prime is 54922661921. The next prime is 54922661939. The reversal of 54922661928 is 82916622945.

54922661928 is a `hidden beast` number, since 5 + 492 + 2 + 6 + 61 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54922661921) 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, 25651738 + ... + 25653878.

It is an arithmetic number, because the mean of its divisors is an integer number (1204152075).

Almost surely, 254922661928 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 54922661928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77065732800).

54922661928 is an abundant number, since it is smaller than the sum of its proper divisors (99208803672).

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

54922661928 is a wasteful number, since it uses less digits than its factorization.

54922661928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3310 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 54922661928 in words is "fifty-four billion, nine hundred twenty-two million, six hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1051 1356 2034 2102 2141 2712 3051 3153 4068 4204 4282 6102 6306 6423 8136 8408 8564 9459 12204 12612 12846 17128 18918 19269 24408 25224 25692 28377 37836 38538 51384 56754 57807 75672 77076 113508 115614 118763 154152 227016 231228 237526 241933 356289 462456 475052 483866 712578 725799 950104 967732 1068867 1425156 1451598 1935464 2137734 2177397 2250191 2850312 2903196 3206601 4275468 4354794 4500382 5806392 6413202 6532191 6750573 8550936 8709588 9000764 12826404 13064382 13501146 17419176 18001528 20251719 25652808 26128764 27002292 40503438 52257528 54004584 60755157 81006876 121510314 162013752 243020628 254271583 486041256 508543166 762814749 1017086332 1525629498 2034172664 2288444247 3051258996 4576888494 6102517992 6865332741 9153776988 13730665482 18307553976 27461330964 54922661928