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106035746433 = 31725310092287
BaseRepresentation
bin110001011000000111…
…0010001011010000001
3101010200210222000210220
41202300032101122001
53214130122341213
6120413454013253
710442443654611
oct1426016213201
9333623860726
10106035746433
1140a734617a1
12186731a7229
139ccb112c36
1451bc8d6a41
152b59083e23
hex18b0391681

106035746433 has 48 divisors (see below), whose sum is σ = 153239074560. Its totient is φ = 65183698944.

The previous prime is 106035746359. The next prime is 106035746437. The reversal of 106035746433 is 334647530601.

It is not a de Polignac number, because 106035746433 - 28 = 106035746177 is a prime.

It is a super-2 number, since 2×1060357464332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106035746437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46363416 + ... + 46365702.

It is an arithmetic number, because the mean of its divisors is an integer number (3192480720).

Almost surely, 2106035746433 is an apocalyptic number.

It is an amenable number.

106035746433 is a deficient number, since it is larger than the sum of its proper divisors (47203328127).

106035746433 is a wasteful number, since it uses less digits than its factorization.

106035746433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 106035746433 in words is "one hundred six billion, thirty-five million, seven hundred forty-six thousand, four hundred thirty-three".

Divisors: 1 3 17 51 53 159 289 867 901 1009 2287 2703 3027 6861 15317 17153 38879 45951 51459 53477 116637 121211 160431 291601 363633 660943 874803 909109 1982829 2060587 2307583 2727327 6181761 6922749 15454853 35029979 39228911 46364559 105089937 117686733 122301899 366905697 666891487 2000674461 2079132283 6237396849 35345248811 106035746433