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29070380142 = 235418211777
BaseRepresentation
bin11011000100101110…
…101100110001101110
32210000222001022200000
4123010232230301232
5434014004131032
621204343045130
72046251103606
oct330456546156
983028038600
1029070380142
1111368520961
1257737407a6
1329838ca78b
14159abbbc06
15b521eae7c
hex6c4bacc6e

29070380142 has 96 divisors (see below), whose sum is σ = 67030969824. Its totient is φ = 9436953600.

The previous prime is 29070380111. The next prime is 29070380201. The reversal of 29070380142 is 24108307092.

It is a junction number, because it is equal to n+sod(n) for n = 29070380097 and 29070380106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16358358 + ... + 16360134.

It is an arithmetic number, because the mean of its divisors is an integer number (698239269).

Almost surely, 229070380142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29070380142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33515484912).

29070380142 is an abundant number, since it is smaller than the sum of its proper divisors (37960589682).

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

29070380142 is a wasteful number, since it uses less digits than its factorization.

29070380142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 29070380142 in words is "twenty-nine billion, seventy million, three hundred eighty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 821 1107 1642 1777 2214 2463 3321 3554 4926 5331 6642 7389 9963 10662 14778 15993 19926 22167 31986 33661 44334 47979 66501 67322 72857 95958 100983 133002 143937 145714 199503 201966 218571 287874 302949 399006 431811 437142 605898 655713 863622 908847 1311426 1458917 1817694 1967139 2726541 2917834 3934278 4376751 5453082 5901417 8179623 8753502 11802834 13130253 16359246 17704251 26260506 35408502 39390759 59815597 78781518 118172277 119631194 179446791 236344554 354516831 358893582 538340373 709033662 1076680746 1615021119 3230042238 4845063357 9690126714 14535190071 29070380142