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2024055000054 = 234103166772767
BaseRepresentation
bin11101011101000011000…
…101000100101111110110
321011111102212120110120000
4131131003011010233312
5231130231040000204
64145501003052130
7266142653426403
oct35350305045766
97144385513500
102024055000054
1171044030a41a
12288337b11046
13118b38079909
146dd715252aa
15379b4c35039
hex1d743144bf6

2024055000054 has 80 divisors (see below), whose sum is σ = 4582225410048. Its totient is φ = 667724683248.

The previous prime is 2024055000053. The next prime is 2024055000101. The reversal of 2024055000054 is 4500005504202.

2024055000054 is a `hidden beast` number, since 20 + 2 + 40 + 550 + 0 + 0 + 0 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2024054999991 and 2024055000027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024055000053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27779179 + ... + 27851945.

Almost surely, 22024055000054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024055000054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291112705024).

2024055000054 is an abundant number, since it is smaller than the sum of its proper divisors (2558170409994).

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

2024055000054 is a wasteful number, since it uses less digits than its factorization.

2024055000054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74551 (or 74542 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 2024055000054 in words is "two trillion, twenty-four billion, fifty-five million, fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1667 1854 2781 3334 5001 5562 8343 10002 15003 16686 30006 45009 72767 90018 135027 145534 171701 218301 270054 343402 436602 515103 654903 1030206 1309806 1545309 1964709 3090618 3929418 4635927 5894127 7495001 9271854 11788254 13907781 14990002 22485003 27815562 44970006 67455009 121302589 134910018 202365027 242605178 363907767 404730054 607095081 727815534 1091723301 1214190162 2183446602 3275169903 6550339806 9825509709 12494166667 19651019418 24988333334 37482500001 74965000002 112447500003 224895000006 337342500009 674685000018 1012027500027 2024055000054