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20232120517434 = 2337194378778317
BaseRepresentation
bin1001001100110101010000…
…10110110100001100111010
32122122011122021011112121000
410212122220112310030322
510122440340323024214
6111010301410225430
74155502543614210
oct446325026641472
978564567145530
1020232120517434
1164a0437644411
122329154285276
13b39b5b0ba937
144dd350254cb0
1525143d1a0809
hex1266a85b433a

20232120517434 has 256 divisors, whose sum is σ = 55359071539200. Its totient is φ = 5347684032768.

The previous prime is 20232120517337. The next prime is 20232120517471. The reversal of 20232120517434 is 43471502123202.

20232120517434 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 2 + 1 + 205 + 17 + 434 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2432618244 + ... + 2432626560.

It is an arithmetic number, because the mean of its divisors is an integer number (216246373200).

Almost surely, 220232120517434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232120517434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679535769600).

20232120517434 is an abundant number, since it is smaller than the sum of its proper divisors (35126951021766).

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

20232120517434 is a wasteful number, since it uses less digits than its factorization.

20232120517434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16268 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20232120517434 in words is "twenty trillion, two hundred thirty-two billion, one hundred twenty million, five hundred seventeen thousand, four hundred thirty-four".