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106730066070 = 23351543256187
BaseRepresentation
bin110001101100110011…
…0111001000010010110
3101012111012110010022000
41203121212321002112
53222040344103240
6121010415420130
710465604410245
oct1433146710226
9335435403260
10106730066070
114129a381381
1218827824646
13a0abc13964
145246bd295c
152b99ed3430
hex18d99b9096

106730066070 has 64 divisors (see below), whose sum is σ = 284799075840. Its totient is φ = 28442794464.

The previous prime is 106730066059. The next prime is 106730066101. The reversal of 106730066070 is 70660037601.

106730066070 is a `hidden beast` number, since 10 + 6 + 7 + 30 + 0 + 6 + 607 + 0 = 666.

It is a super-2 number, since 2×1067300660702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288517 + ... + 544703.

It is an arithmetic number, because the mean of its divisors is an integer number (4449985560).

Almost surely, 2106730066070 is an apocalyptic number.

106730066070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106730066070 is an abundant number, since it is smaller than the sum of its proper divisors (178069009770).

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

106730066070 is a wasteful number, since it uses less digits than its factorization.

106730066070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257746 (or 257740 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 106730066070 in words is "one hundred six billion, seven hundred thirty million, sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1543 3086 4629 7715 9258 13887 15430 23145 27774 41661 46290 69435 83322 138870 208305 256187 416610 512374 768561 1280935 1537122 2305683 2561870 3842805 4611366 6917049 7685610 11528415 13834098 23056830 34585245 69170490 395296541 790593082 1185889623 1976482705 2371779246 3557668869 3952965410 5929448115 7115337738 10673006607 11858896230 17788344345 21346013214 35576688690 53365033035 106730066070