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20215144950 = 2352711133143101
BaseRepresentation
bin10010110100111010…
…101010000111110110
31221011211100202122020
4102310322222013312
5312400034114300
613141532414010
71313643616440
oct226472520766
957154322566
1020215144950
118633a16670
123b02017306
131ba2135540
14d9aacb490
157d4ab78a0
hex4b4eaa1f6

20215144950 has 768 divisors, whose sum is σ = 71803404288. Its totient is φ = 3628800000.

The previous prime is 20215144933. The next prime is 20215144967. The reversal of 20215144950 is 5944151202.

It is an interprime number because it is at equal distance from previous prime (20215144933) and next prime (20215144967).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 200149900 + ... + 200150000.

It is an arithmetic number, because the mean of its divisors is an integer number (93494016).

Almost surely, 220215144950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20215144950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35901702144).

20215144950 is an abundant number, since it is smaller than the sum of its proper divisors (51588259338).

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

20215144950 is a wasteful number, since it uses less digits than its factorization.

20215144950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 20215144950 in words is "twenty billion, two hundred fifteen million, one hundred forty-four thousand, nine hundred fifty".