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41642745234552 = 23337112503772561
BaseRepresentation
bin10010111011111101101010…
…00010011000010001111000
312110110000012111220101122000
421131332311002120101320
520424233320240001202
6224322225115501000
711525406022123620
oct1135766502302170
9173400174811560
1041642745234552
11122a5653073990
124806787157760
131a30b81236aa7
14a3d73bbbd880
154c3353d0591c
hex25dfb5098478

41642745234552 has 128 divisors (see below), whose sum is σ = 144217299571200. Its totient is φ = 10816297459200.

The previous prime is 41642745234499. The next prime is 41642745234553. The reversal of 41642745234552 is 25543254724614.

41642745234552 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 2 + 7 + 4 + 52 + 34 + 552 = 666.

41642745234552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41642745234553) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1251869649 + ... + 1251902912.

It is an arithmetic number, because the mean of its divisors is an integer number (1126697652900).

Almost surely, 241642745234552 is an apocalyptic number.

41642745234552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41642745234552 is an abundant number, since it is smaller than the sum of its proper divisors (102574554336648).

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

41642745234552 is a wasteful number, since it uses less digits than its factorization.

41642745234552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503772594 (or 2503772584 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 54.

The spelling of 41642745234552 in words is "forty-one trillion, six hundred forty-two billion, seven hundred forty-five million, two hundred thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 16632 2503772561 5007545122 7511317683 10015090244 15022635366 17526407927 20030180488 22533953049 27541498171 30045270732 35052815854 45067906098 52579223781 55082996342 60090541464 67601859147 70105631708 82624494513 90135812196 105158447562 110165992684 135203718294 140211263416 157737671343 165248989026 180271624392 192790487197 210316895124 220331985368 247873483539 270407436588 315475342686 330497978052 385580974394 420633790248 473213014029 495746967078 540814873176 578371461591 630950685372 660995956104 743620450617 771161948788 946426028058 991493934156 1156742923182 1261901370744 1487240901234 1542323897576 1735114384773 1892852056116 1982987868312 2313485846364 2974481802468 3470228769546 3785704112232 4626971692728 5205343154319 5948963604936 6940457539092 10410686308638 13880915078184 20821372617276 41642745234552