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146451222154641 = 31011476473273601
BaseRepresentation
bin100001010011001001010101…
…000100101100110110010001
3201012112121012110212112002210
4201103021111010230312101
5123143424100332422031
61235250432422502333
742563515544604135
oct4123112504546621
9635477173775083
10146451222154641
1142733683a269a8
1214513289b949a9
1363943a23cba71
1428243c40293c5
1511de7ebb77746
hex85325512cd91

146451222154641 has 16 divisors (see below), whose sum is σ = 197203041543168. Its totient is φ = 96666789120000.

The previous prime is 146451222154591. The next prime is 146451222154669.

146451222154641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146451222154641 - 26 = 146451222154577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146451222164641) 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, 43100241 + ... + 46373841.

It is an arithmetic number, because the mean of its divisors is an integer number (12325190096448).

Almost surely, 2146451222154641 is an apocalyptic number.

It is an amenable number.

146451222154641 is a deficient number, since it is larger than the sum of its proper divisors (50751819388527).

146451222154641 is a wasteful number, since it uses less digits than its factorization.

146451222154641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421352.

The product of its digits is 1843200, while the sum is 48.

The spelling of 146451222154641 in words is "one hundred forty-six trillion, four hundred fifty-one billion, two hundred twenty-two million, one hundred fifty-four thousand, six hundred forty-one".

Divisors: 1 3 101 303 147647 442941 3273601 9820803 14912347 44737041 330633701 991901103 483337366847 1450012100541 48817074051547 146451222154641