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254113678005054 = 237176712741826479
BaseRepresentation
bin111001110001110101110011…
…100000101001001100111110
31020022202000211010201000102220
4321301311303200221030332
5231301344303032130204
62300242113451030210
7104345051555121240
oct7161656340511476
91208660733630386
10254113678005054
1173a7200755a80a
1224600b2473b366
13aba3a80c9991a
1446a724c008090
151e5a12eb211d9
hexe71d7382933e

254113678005054 has 128 divisors (see below), whose sum is σ = 629091674357760. Its totient is φ = 66783166281216.

The previous prime is 254113678004951. The next prime is 254113678005133. The reversal of 254113678005054 is 450500876311452.

It is a super-2 number, since 2×2541136780050542 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 254113678004988 and 254113678005006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14837814 + ... + 26988665.

It is an arithmetic number, because the mean of its divisors is an integer number (4914778705920).

Almost surely, 2254113678005054 is an apocalyptic number.

254113678005054 is an abundant number, since it is smaller than the sum of its proper divisors (374977996352706).

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

254113678005054 is a wasteful number, since it uses less digits than its factorization.

254113678005054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41826702.

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 254113678005054 in words is "two hundred fifty-four trillion, one hundred thirteen billion, six hundred seventy-eight million, five thousand, fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 67 102 119 127 134 201 238 254 357 381 402 469 714 762 889 938 1139 1407 1778 2159 2278 2667 2814 3417 4318 5334 6477 6834 7973 8509 12954 15113 15946 17018 23919 25527 30226 45339 47838 51054 59563 90678 119126 144653 178689 289306 357378 433959 867918 1012571 2025142 3037713 6075426 41826479 83652958 125479437 250958874 292785353 585570706 711050143 878356059 1422100286 1756712118 2133150429 2802374093 4266300858 4977351001 5311962833 5604748186 8407122279 9954702002 10623925666 14932053003 15935888499 16814244558 19616618651 29864106006 31871776998 37183739831 39233237302 47640359581 58849855953 74367479662 90303368161 95280719162 111551219493 117699711906 142921078743 180606736322 223102438986 270910104483 285842157486 333482517067 355901509811 541820208966 632123577127 666965034134 711803019622 1000447551201 1067704529433 1264247154254 1896370731381 2000895102402 2135409058866 2491310568677 3792741462762 4982621137354 6050325666787 7473931706031 12100651333574 14947863412062 18150977000361 36301954000722 42352279667509 84704559335018 127056839002527 254113678005054