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100066666151056 = 24112935595508721
BaseRepresentation
bin10110110000001010010110…
…000101101111110010010000
3111010022021120000102220011111
4112300022112011233302100
5101103443013013313211
6552453554121423104
730035402162110543
oct2660122605576220
9433267500386144
10100066666151056
1129980042345190
12b28171003aa94
1343ab3279893c7
141a9d376b5a85a
15b87e6c393421
hex5b029616fc90

100066666151056 has 80 divisors (see below), whose sum is σ = 218859321571200. Its totient is φ = 43904057702400.

The previous prime is 100066666150999. The next prime is 100066666151057. The reversal of 100066666151056 is 650151666660001.

It is not an unprimeable number, because it can be changed into a prime (100066666151057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15410776 + ... + 20919496.

It is an arithmetic number, because the mean of its divisors is an integer number (2735741519640).

Almost surely, 2100066666151056 is an apocalyptic number.

100066666151056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100066666151056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109429660785600).

100066666151056 is an abundant number, since it is smaller than the sum of its proper divisors (118792655420144).

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

100066666151056 is a wasteful number, since it uses less digits than its factorization.

100066666151056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512328 (or 5512322 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 100066666151056 in words is "one hundred trillion, sixty-six billion, six hundred sixty-six million, one hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 3559 5104 7118 14236 28472 39149 56944 78298 103211 156596 206422 313192 412844 626384 825688 1135321 1651376 2270642 4541284 5508721 9082568 11017442 18165136 22034884 44069768 60595931 88139536 121191862 159752909 242383724 319505818 484767448 639011636 969534896 1278023272 1757281999 2556046544 3514563998 7029127996 14058255992 19605538039 28116511984 39211076078 78422152156 156844304312 215660918429 313688608624 431321836858 568560603131 862643673716 1137121206262 1725287347432 2274242412524 3450574694864 4548484825048 6254166634441 9096969650096 12508333268882 25016666537764 50033333075528 100066666151056