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2900290146409 = 1923107421147331
BaseRepresentation
bin101010001101000110110…
…000111001000001101001
3101021021011012120220020201
4222031012300321001221
5340004243234141114
610100212551152201
7416352615325345
oct52150660710151
911237135526221
102900290146409
11a190081a49a7
123aa119375661
1318065b17b236
14a0536602625
155069ac1d874
hex2a346c39069

2900290146409 has 32 divisors (see below), whose sum is σ = 3223105551360. Its totient is φ = 2597416113600.

The previous prime is 2900290146373. The next prime is 2900290146437. The reversal of 2900290146409 is 9046410920092.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2900290146409 - 219 = 2900289622121 is a prime.

It is a super-5 number, since 5×29002901464095 (a number of 64 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2900290146469) 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, 19611874 + ... + 19759204.

It is an arithmetic number, because the mean of its divisors is an integer number (100722048480).

Almost surely, 22900290146409 is an apocalyptic number.

It is an amenable number.

2900290146409 is a deficient number, since it is larger than the sum of its proper divisors (322815404951).

2900290146409 is a wasteful number, since it uses less digits than its factorization.

2900290146409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147901.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 2900290146409 in words is "two trillion, nine hundred billion, two hundred ninety million, one hundred forty-six thousand, four hundred nine".

Divisors: 1 19 23 107 421 437 2033 2461 7999 9683 45047 46759 147331 183977 855893 1036081 2799289 3388613 15764417 19685539 62026351 64383647 299523923 362581591 1178500669 1426606073 6636819557 6889050229 27105515387 126099571583 152646849811 2900290146409