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10144177076 = 2211376793001
BaseRepresentation
bin10010111001010001…
…11101101110110100
3222011222001120220002
421130220331232310
5131233402131301
64354332530432
7506245040165
oct113450755664
928158046802
1010144177076
11433613a420
121b71320a18
13c5882ab57
146c337376c
153e588c16b
hex25ca3dbb4

10144177076 has 48 divisors (see below), whose sum is σ = 20186642112. Its totient is φ = 4419360000.

The previous prime is 10144177067. The next prime is 10144177081. The reversal of 10144177076 is 67077144101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62576 + ... + 155576.

It is an arithmetic number, because the mean of its divisors is an integer number (420555044).

Almost surely, 210144177076 is an apocalyptic number.

It is an amenable number.

10144177076 is a deficient number, since it is larger than the sum of its proper divisors (10042465036).

10144177076 is a wasteful number, since it uses less digits than its factorization.

10144177076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93120 (or 93118 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 10144177076 in words is "ten billion, one hundred forty-four million, one hundred seventy-seven thousand, seventy-six".

Divisors: 1 2 4 11 22 37 44 67 74 134 148 268 407 737 814 1474 1628 2479 2948 4958 9916 27269 54538 93001 109076 186002 372004 1023011 2046022 3441037 4092044 6231067 6882074 12462134 13764148 24924268 37851407 68541737 75702814 137083474 151405628 230549479 274166948 461098958 922197916 2536044269 5072088538 10144177076