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1066104356163 = 371121201349343
BaseRepresentation
bin11111000001110001100…
…01010111110101000011
310202220210122102122122120
433200320301113311003
5114431340203344123
62133432300135323
7140011026336330
oct17407061276503
93686718378576
101066104356163
11381150130100
12152750237543
13796c15cbca2
1439857911987
151cae9d672e3
hexf838c57d43

1066104356163 has 48 divisors (see below), whose sum is σ = 1787143292928. Its totient is φ = 553357728000.

The previous prime is 1066104356137. The next prime is 1066104356171. The reversal of 1066104356163 is 3616534016601.

It is a de Polignac number, because none of the positive numbers 2k-1066104356163 is a prime.

It is a super-2 number, since 2×10661043561632 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1066104356113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2877070 + ... + 3226412.

It is an arithmetic number, because the mean of its divisors is an integer number (37232151936).

Almost surely, 21066104356163 is an apocalyptic number.

1066104356163 is a deficient number, since it is larger than the sum of its proper divisors (721038936765).

1066104356163 is a wasteful number, since it uses less digits than its factorization.

1066104356163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350576 (or 350565 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 1066104356163 in words is "one trillion, sixty-six billion, one hundred four million, three hundred fifty-six thousand, one hundred sixty-three".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 1201 2541 3603 8407 13211 25221 39633 92477 145321 277431 349343 435963 1017247 1048029 2445401 3051741 3842773 7336203 11528319 26899411 42270503 80698233 126811509 295893521 419560943 887680563 1258682829 2936926601 4615170373 8810779803 13845511119 32306192611 50766874103 96918577833 152300622309 355368118721 1066104356163