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2023023150304 = 2513291026716333
BaseRepresentation
bin11101011100000101100…
…100111000010011100000
321011101202221222001210121
4131130011210320103200
5231121122411302204
64145210343010024
7266105254024162
oct35340544702340
97141687861717
102023023150304
1170aa60912432
122880aa439914
13118a0236a830
146dcb4486932
1537954361b54
hex1d7059384e0

2023023150304 has 96 divisors (see below), whose sum is σ = 4437805367520. Its totient is φ = 901363341312.

The previous prime is 2023023150167. The next prime is 2023023150319. The reversal of 2023023150304 is 4030513203202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123852922 + ... + 123869254.

It is an arithmetic number, because the mean of its divisors is an integer number (46227139245).

Almost surely, 22023023150304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023023150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218902683760).

2023023150304 is an abundant number, since it is smaller than the sum of its proper divisors (2414782217216).

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

2023023150304 is a wasteful number, since it uses less digits than its factorization.

2023023150304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26652 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 2023023150304 its reverse (4030513203202), we get a palindrome (6053536353506).

The spelling of 2023023150304 in words is "two trillion, twenty-three billion, twenty-three million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 10267 12064 16333 20534 32666 41068 65332 82136 130664 133471 164272 212329 261328 266942 297743 328544 424658 473657 522656 533884 595486 849316 947314 1067768 1190972 1698632 1894628 2135536 2381944 3397264 3789256 3870659 4271072 4763888 6157541 6794528 7578512 7741318 9527776 12315082 15157024 15482636 24630164 30965272 49260328 61930544 98520656 123861088 167690911 197041312 335381822 670763644 1341527288 2179981843 2683054576 4359963686 4863036419 5366109152 8719927372 9726072838 17439854744 19452145676 34879709488 38904291352 63219473447 69759418976 77808582704 126438946894 155617165408 252877893788 505755787576 1011511575152 2023023150304