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23054513154534 = 232191071274960693
BaseRepresentation
bin1010011110111110011000…
…00100010010100111100110
310000121222201122211221212100
411033133030010102213212
511010211120331421114
6121011032551432530
74566430220320461
oct517371404224746
9100558648757770
1023054513154534
117389400711644
122704151985746
13cb30538b47a4
14599bb70162d8
1529ea7a2aa909
hex14f7cc1129e6

23054513154534 has 96 divisors (see below), whose sum is σ = 53489774407680. Its totient is φ = 7155540254016.

The previous prime is 23054513154529. The next prime is 23054513154587. The reversal of 23054513154534 is 43545131545032.

23054513154534 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 45 + 1 + 31 + 545 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23054513154534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167092 + ... + 7127784.

It is an arithmetic number, because the mean of its divisors is an integer number (557185150080).

Almost surely, 223054513154534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23054513154534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26744887203840).

23054513154534 is an abundant number, since it is smaller than the sum of its proper divisors (30435261253146).

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

23054513154534 is a wasteful number, since it uses less digits than its factorization.

23054513154534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960954 (or 4960951 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 23054513154534 its reverse (43545131545032), we get a palindrome (66599644699566).

The spelling of 23054513154534 in words is "twenty-three trillion, fifty-four billion, five hundred thirteen million, one hundred fifty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 127 171 214 254 321 342 381 642 762 963 1143 1926 2033 2286 2413 4066 4826 6099 7239 12198 13589 14478 18297 21717 27178 36594 40767 43434 81534 122301 244602 258191 516382 774573 1549146 2323719 4647438 4960693 9921386 14882079 29764158 44646237 89292474 94253167 188506334 282759501 530794151 565519002 630008011 848278503 1061588302 1260016022 1592382453 1696557006 1890024033 3184764906 3780048066 4777147359 5670072099 9554294718 10085088869 11340144198 11970152209 20170177738 23940304418 30255266607 35910456627 60510533214 67410857177 71820913254 90765799821 107731369881 134821714354 181531599642 202232571531 215462739762 404465143062 606697714593 1213395429186 1280806286363 2561612572726 3842418859089 7684837718178 11527256577267 23054513154534