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13066787376 = 243350815953
BaseRepresentation
bin11000010101101011…
…10101101000110000
31020201122110120112000
430022311311220300
5203230044144001
610000334334000
7641543601006
oct141265655060
936648416460
1013066787376
1155a5951835
12264805a300
131303187166
148bd592a76
15517245a86
hex30ad75a30

13066787376 has 80 divisors (see below), whose sum is σ = 37520202720. Its totient is φ = 4354007040.

The previous prime is 13066787353. The next prime is 13066787387. The reversal of 13066787376 is 67378766031.

It is a happy number.

13066787376 is a `hidden beast` number, since 130 + 6 + 67 + 87 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2192016 + ... + 2197968.

It is an arithmetic number, because the mean of its divisors is an integer number (469002534).

Almost surely, 213066787376 is an apocalyptic number.

13066787376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13066787376 is an abundant number, since it is smaller than the sum of its proper divisors (24453415344).

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

13066787376 is a wasteful number, since it uses less digits than its factorization.

13066787376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 13066787376 in words is "thirteen billion, sixty-six million, seven hundred eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5081 5953 10162 11906 15243 17859 20324 23812 30486 35718 40648 45729 47624 53577 60972 71436 81296 91458 95248 107154 121944 137187 142872 160731 182916 214308 243888 274374 285744 321462 365832 428616 548748 642924 731664 857232 1097496 1285848 2194992 2571696 30247193 60494386 90741579 120988772 181483158 241977544 272224737 362966316 483955088 544449474 725932632 816674211 1088898948 1451865264 1633348422 2177797896 3266696844 4355595792 6533393688 13066787376