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345498470648121 = 3731677921188313
BaseRepresentation
bin100111010001110101010000…
…1100111010000100100111001
31200022022022221110110022110010
41032203222201213100210321
5330241121331441214441
63222451450053012133
7132526304120101530
oct11643524147204471
91608268843408403
10345498470648121
11a00a509561087a
12328bbb02924049
1311aa249b0b335b
146146302737317
1529e231c4d9116
hex13a3aa19d0939

345498470648121 has 32 divisors (see below), whose sum is σ = 551568184680448. Its totient is φ = 188207434293120.

The previous prime is 345498470648057. The next prime is 345498470648129. The reversal of 345498470648121 is 121846074894543.

It is not a de Polignac number, because 345498470648121 - 26 = 345498470648057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345498470648129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3960550540 + ... + 3960637773.

It is an arithmetic number, because the mean of its divisors is an integer number (17236505771264).

It is a 1-persistent number, because it is pandigital, but 2⋅345498470648121 = 690996941296242 is not.

Almost surely, 2345498470648121 is an apocalyptic number.

345498470648121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

345498470648121 is a deficient number, since it is larger than the sum of its proper divisors (206069714032327).

345498470648121 is a wasteful number, since it uses less digits than its factorization.

345498470648121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921188421.

The product of its (nonzero) digits is 185794560, while the sum is 66.

The spelling of 345498470648121 in words is "three hundred forty-five trillion, four hundred ninety-eight billion, four hundred seventy million, six hundred forty-eight thousand, one hundred twenty-one".

Divisors: 1 3 7 21 31 67 93 201 217 469 651 1407 2077 6231 14539 43617 7921188313 23763564939 55448318191 166344954573 245556837703 530719616971 736670513109 1592158850913 1718897863921 3715037318797 5156693591763 11145111956391 16452308126101 49356924378303 115166156882707 345498470648121