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1072005711166 = 21373564808067
BaseRepresentation
bin11111001100110001000…
…01010000010100111110
310210111000220212112211101
433212120201100110332
5120030431430224131
62140250030443314
7140310205125055
oct17463041202476
93714026775741
101072005711166
113836a93054a5
1215391866353a
137a122109c20
1439c575a339c
151cd42eb6c61
hexf99885053e

1072005711166 has 16 divisors (see below), whose sum is σ = 1755423475344. Its totient is φ = 487994169024.

The previous prime is 1072005711157. The next prime is 1072005711167. The reversal of 1072005711166 is 6611175002701.

It is a happy number.

It is a super-2 number, since 2×10720057111662 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072005711167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282402136 + ... + 282405931.

It is an arithmetic number, because the mean of its divisors is an integer number (109713967209).

Almost surely, 21072005711166 is an apocalyptic number.

1072005711166 is a deficient number, since it is larger than the sum of its proper divisors (683417764178).

1072005711166 is a wasteful number, since it uses less digits than its factorization.

1072005711166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564808155.

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 1072005711166 in words is "one trillion, seventy-two billion, five million, seven hundred eleven thousand, one hundred sixty-six".

Divisors: 1 2 13 26 73 146 949 1898 564808067 1129616134 7342504871 14685009742 41230988891 82461977782 536002855583 1072005711166