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73673666704011 = 31112097184552811
BaseRepresentation
bin10000110000000101111100…
…101110111011001010001011
3100122212010121111122101220210
4100300011330232323022023
534124032132134012021
6420405114254252203
721342514066265013
oct2060057456731213
9318763544571823
1073673666704011
1121524910205460
12831a549ab7063
13321552117509a
141429b785acc43
1587b64b553e76
hex43017cbbb28b

73673666704011 has 16 divisors (see below), whose sum is σ = 107170556139648. Its totient is φ = 44647015795200.

The previous prime is 73673666704009. The next prime is 73673666704081. The reversal of 73673666704011 is 11040766637637.

It is not a de Polignac number, because 73673666704011 - 21 = 73673666704009 is a prime.

It is a super-4 number, since 4×736736667040114 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (73673666704081) 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 15 ways as a sum of consecutive naturals, for example, 91877205 + ... + 92675606.

It is an arithmetic number, because the mean of its divisors is an integer number (6698159758728).

Almost surely, 273673666704011 is an apocalyptic number.

73673666704011 is a deficient number, since it is larger than the sum of its proper divisors (33496889435637).

73673666704011 is a wasteful number, since it uses less digits than its factorization.

73673666704011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184564922.

The product of its (nonzero) digits is 16003008, while the sum is 57.

The spelling of 73673666704011 in words is "seventy-three trillion, six hundred seventy-three billion, six hundred sixty-six million, seven hundred four thousand, eleven".

Divisors: 1 3 11 33 12097 36291 133067 399201 184552811 553658433 2030080921 6090242763 2232535354667 6697606064001 24557888901337 73673666704011