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34054155486 = 233131373171117
BaseRepresentation
bin11111101101110010…
…010010110011011110
310020220021220100012000
4133231302102303132
51024220330433421
623351054423130
72313615355101
oct375562226336
9106807810160
1034054155486
111349575705a
126724801aa6
133299298480
141910a58738
15d449ea226
hex7edc92cde

34054155486 has 128 divisors (see below), whose sum is σ = 82424684160. Its totient is φ = 10359622656.

The previous prime is 34054155479. The next prime is 34054155491. The reversal of 34054155486 is 68455145043.

34054155486 is a `hidden beast` number, since 3 + 40 + 54 + 1 + 554 + 8 + 6 = 666.

It is a Curzon number.

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, 30486600 + ... + 30487716.

It is an arithmetic number, because the mean of its divisors is an integer number (643942845).

Almost surely, 234054155486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34054155486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212342080).

34054155486 is an abundant number, since it is smaller than the sum of its proper divisors (48370528674).

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

34054155486 is a wasteful number, since it uses less digits than its factorization.

34054155486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 34054155486 in words is "thirty-four billion, fifty-four million, one hundred fifty-five thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 137 234 274 317 351 411 634 702 822 951 1117 1233 1781 1902 2234 2466 2853 3351 3562 3699 4121 5343 5706 6702 7398 8242 8559 10053 10686 12363 14521 16029 17118 20106 24726 29042 30159 32058 37089 43429 43563 48087 60318 74178 86858 87126 96174 111267 130287 130689 153029 222534 260574 261378 306058 354089 390861 392067 459087 564577 708178 781722 784134 918174 1062267 1129154 1172583 1377261 1693731 1989377 2124534 2345166 2754522 3186801 3387462 3978754 4131783 4603157 5081193 5968131 6373602 8263566 9206314 9560403 10162386 11936262 13809471 15243579 17904393 19120806 27618942 30487158 35808786 41428413 48510193 53713179 82856826 97020386 107426358 124285239 145530579 248570478 291061158 436591737 630632509 873183474 1261265018 1309775211 1891897527 2619550422 3783795054 5675692581 11351385162 17027077743 34054155486