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29993709103351 = 7832391123192343
BaseRepresentation
bin1101101000111011101000…
…11000000110100011110111
310221012101000011021002121221
412310131310120012203313
512412404104012301401
6143442530355251211
76213655033554520
oct664356430064367
9127171004232557
1029993709103351
119614295944314
123444b945a9b07
1313975190120b6
147599bba97847
1537031287e7a1
hex1b47746068f7

29993709103351 has 32 divisors (see below), whose sum is σ = 34867874119680. Its totient is φ = 25270221249504.

The previous prime is 29993709103327. The next prime is 29993709103361. The reversal of 29993709103351 is 15330190739992.

It is not a de Polignac number, because 29993709103351 - 219 = 29993708579063 is a prime.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 29993709103351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993709103361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155842486 + ... + 156034828.

It is an arithmetic number, because the mean of its divisors is an integer number (1089621066240).

Almost surely, 229993709103351 is an apocalyptic number.

29993709103351 is a deficient number, since it is larger than the sum of its proper divisors (4874165016329).

29993709103351 is a wasteful number, since it uses less digits than its factorization.

29993709103351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193795.

The product of its (nonzero) digits is 12400290, while the sum is 61.

The spelling of 29993709103351 in words is "twenty-nine trillion, nine hundred ninety-three billion, seven hundred nine million, one hundred three thousand, three hundred fifty-one".

Divisors: 1 7 83 239 581 1123 1673 7861 19837 93209 138859 192343 268397 652463 1346401 1878779 15964469 22276951 45969977 111751283 155938657 216001189 321789839 1512008323 3815508091 17928098687 26708556637 51624284171 125496690809 361369989197 4284815586193 29993709103351