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54945942492 = 223715717324083
BaseRepresentation
bin110011001011000010…
…001000101111011100
312020211021111002020010
4303023002020233130
51400012130124432
641124122123220
73653416543110
oct631302105734
9166737432203
1054945942492
1121336608931
12a795350510
13524865240c
14293355d740
151668bbe3cc
hexccb088bdc

54945942492 has 96 divisors (see below), whose sum is σ = 148314281472. Its totient is φ = 15508037376.

The previous prime is 54945942487. The next prime is 54945942587. The reversal of 54945942492 is 29424954945.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2269483 + ... + 2293565.

It is an arithmetic number, because the mean of its divisors is an integer number (1544940432).

Almost surely, 254945942492 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 54945942492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74157140736).

54945942492 is an abundant number, since it is smaller than the sum of its proper divisors (93368338980).

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

54945942492 is a wasteful number, since it uses less digits than its factorization.

54945942492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24427 (or 24425 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The spelling of 54945942492 in words is "fifty-four billion, nine hundred forty-five million, nine hundred forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 173 314 346 471 519 628 692 942 1038 1099 1211 1884 2076 2198 2422 3297 3633 4396 4844 6594 7266 13188 14532 24083 27161 48166 54322 72249 81483 96332 108644 144498 162966 168581 190127 288996 325932 337162 380254 505743 570381 674324 760508 1011486 1140762 2022972 2281524 3781031 4166359 7562062 8332718 11343093 12499077 15124124 16665436 22686186 24998154 26467217 29164513 45372372 49996308 52934434 58329026 79401651 87493539 105868868 116658052 158803302 174987078 317606604 349974156 654118363 1308236726 1962355089 2616473452 3924710178 4578828541 7849420356 9157657082 13736485623 18315314164 27472971246 54945942492