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106158237732 = 22328933133033
BaseRepresentation
bin110001011011110000…
…1100010100000100100
3101011000100110020021200
41202313201202200210
53214403002101412
6120433551242500
710445462063241
oct1426741424044
9334010406250
10106158237732
1141026615278
12186a8219430
13a01a5ccab1
1451d0ca05c8
152b64bcc9dc
hex18b7862824

106158237732 has 36 divisors (see below), whose sum is σ = 271359548460. Its totient is φ = 34988481792.

The previous prime is 106158237721. The next prime is 106158237743. The reversal of 106158237732 is 237732851601.

106158237732 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 582 + 37 + 7 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (106158237721) and next prime (106158237743).

It can be written as a sum of positive squares in 2 ways, for example, as 60779013156 + 45379224576 = 246534^2 + 213024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1061582377322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16563313 + ... + 16569720.

It is an arithmetic number, because the mean of its divisors is an integer number (7537765235).

Almost surely, 2106158237732 is an apocalyptic number.

106158237732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106158237732 is an abundant number, since it is smaller than the sum of its proper divisors (165201310728).

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

106158237732 is a wasteful number, since it uses less digits than its factorization.

106158237732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33133132 (or 33133127 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 106158237732 in words is "one hundred six billion, one hundred fifty-eight million, two hundred thirty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 33133033 66266066 99399099 132532132 198798198 298197297 397596396 596394594 1192789188 2948839937 5897679874 8846519811 11795359748 17693039622 26539559433 35386079244 53079118866 106158237732