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41493264343488 = 2632232136175647
BaseRepresentation
bin10010110111100111001110…
…10010000010000111000000
312102220201100221020100100100
421123303213102002013000
520414311201132442423
6224125424213322400
711511534525404526
oct1133634722020700
9172821327210310
1041493264343488
1112248215aa3a91
1247a180a336400
131a1ca4b3a03a9
14a363db35a316
154be505ab6343
hex25bce74821c0

41493264343488 has 126 divisors (see below), whose sum is σ = 124328775150944. Its totient is φ = 13229736360192.

The previous prime is 41493264343481. The next prime is 41493264343499. The reversal of 41493264343488 is 88434346239414.

41493264343488 is a `hidden beast` number, since 4 + 1 + 4 + 93 + 2 + 6 + 434 + 34 + 88 = 666.

It is a super-2 number, since 2×414932643434882 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41493264343481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67783120 + ... + 68392527.

Almost surely, 241493264343488 is an apocalyptic number.

41493264343488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41493264343488 is an abundant number, since it is smaller than the sum of its proper divisors (82835510807456).

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

41493264343488 is a wasteful number, since it uses less digits than its factorization.

41493264343488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136175711 (or 136175675 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 41493264343488 in words is "forty-one trillion, four hundred ninety-three billion, two hundred sixty-four million, three hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 529 552 576 736 828 1058 1104 1472 1587 1656 2116 2208 3174 3312 4232 4416 4761 6348 6624 8464 9522 12696 13248 16928 19044 25392 33856 38088 50784 76176 101568 152352 304704 136175647 272351294 408526941 544702588 817053882 1089405176 1225580823 1634107764 2178810352 2451161646 3132039881 3268215528 4357620704 4902323292 6264079762 6536431056 8715241408 9396119643 9804646584 12528159524 13072862112 18792239286 19609293168 25056319048 26145724224 28188358929 37584478572 39218586336 50112638096 56376717858 72036917263 75168957144 78437172672 100225276192 112753435716 144073834526 150337914288 200450552384 216110751789 225506871432 288147669052 300675828576 432221503578 451013742864 576295338104 601351657152 648332255367 864443007156 902027485728 1152590676208 1296664510734 1728886014312 1804054971456 2305181352416 2593329021468 3457772028624 4610362704832 5186658042936 6915544057248 10373316085872 13831088114496 20746632171744 41493264343488