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29072128141 = 737907123757
BaseRepresentation
bin11011000100110101…
…010111100010001101
32210001002100010110201
4123010311113202031
5434014431100031
621204444333501
72046302004040
oct330465274215
983032303421
1029072128141
1111369505191
125774244291
1329840902b4
14159b114c57
15b52443d61
hex6c4d5788d

29072128141 has 16 divisors (see below), whose sum is σ = 34161168256. Its totient is φ = 24218554176.

The previous prime is 29072128121. The next prime is 29072128147. The reversal of 29072128141 is 14182127092.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29072128141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29072128141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29072128147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173035 + ... + 296791.

It is an arithmetic number, because the mean of its divisors is an integer number (2135073016).

Almost surely, 229072128141 is an apocalyptic number.

It is an amenable number.

29072128141 is a deficient number, since it is larger than the sum of its proper divisors (5089040115).

29072128141 is a wasteful number, since it uses less digits than its factorization.

29072128141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124708.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 29072128141 in words is "twenty-nine billion, seventy-two million, one hundred twenty-eight thousand, one hundred forty-one".

Divisors: 1 7 37 259 907 6349 33559 123757 234913 866299 4579009 32053063 112247599 785733193 4153161163 29072128141