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645623011242 = 23211101223144773
BaseRepresentation
bin10010110010100100010…
…00010101011110101010
32021201110120121011022100
421121102020111132222
541034213442324432
61212332313434230
764434066022416
oct11312210253652
92251416534270
10645623011242
112298973a4170
12a5161a0b976
1348b60963151
1423369569d46
1511bda32207c
hex96522157aa

645623011242 has 96 divisors (see below), whose sum is σ = 1548048692736. Its totient is φ = 192836304000.

The previous prime is 645623011207. The next prime is 645623011321. The reversal of 645623011242 is 242110326546.

645623011242 is a `hidden beast` number, since 6 + 4 + 5 + 623 + 0 + 1 + 1 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 645623011197 and 645623011206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4387168 + ... + 4531940.

It is an arithmetic number, because the mean of its divisors is an integer number (16125507216).

Almost surely, 2645623011242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645623011242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774024346368).

645623011242 is an abundant number, since it is smaller than the sum of its proper divisors (902425681494).

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

645623011242 is a wasteful number, since it uses less digits than its factorization.

645623011242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145116 (or 145113 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 645623011242 its reverse (242110326546), we get a palindrome (887733337788).

The spelling of 645623011242 in words is "six hundred forty-five billion, six hundred twenty-three million, eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 223 303 446 606 669 909 1111 1338 1818 2007 2222 2453 3333 4014 4906 6666 7359 9999 14718 19998 22077 22523 44154 45046 67569 135138 144773 202707 247753 289546 405414 434319 495506 743259 868638 1302957 1486518 1592503 2229777 2605914 3185006 4459554 4777509 9555018 14332527 14622073 28665054 29244146 32284379 43866219 64568758 87732438 96853137 131598657 160842803 193706274 263197314 290559411 321685606 355128169 482528409 581118822 710256338 965056818 1065384507 1447585227 2130769014 2895170454 3196153521 3260722279 6392307042 6521444558 9782166837 19564333674 29346500511 35867945069 58693001022 71735890138 107603835207 215207670414 322811505621 645623011242