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20230465215744 = 2834721783103137
BaseRepresentation
bin1001001100110010001011…
…01100010101110100000000
32122122000100220102111120000
410212121011230111310000
510122423443043400434
6111005425235320000
74155413534025600
oct446310554256400
978560326374500
1020230465215744
11649a768230793
122328971a50000
13b39956191594
144dd234486c00
15251392bcab99
hex126645b15d00

20230465215744 has 2160 divisors, whose sum is σ = 76479553358208. Its totient is φ = 5283551379456.

The previous prime is 20230465215743. The next prime is 20230465215769. The reversal of 20230465215744 is 44751256403202.

20230465215744 is a `hidden beast` number, since 2 + 0 + 2 + 30 + 4 + 6 + 521 + 57 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20230465215744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20230465215743) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 147667629244 + ... + 147667629380.

Almost surely, 220230465215744 is an apocalyptic number.

20230465215744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230465215744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38239776679104).

20230465215744 is an abundant number, since it is smaller than the sum of its proper divisors (56249088142464).

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

20230465215744 is a wasteful number, since it uses less digits than its factorization.

20230465215744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 20230465215744 in words is "twenty trillion, two hundred thirty billion, four hundred sixty-five million, two hundred fifteen thousand, seven hundred forty-four".