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5145345744 = 243731128411
BaseRepresentation
bin1001100101010111…
…11011111011010000
3111021120212122102220
410302223323323100
541014202030434
62210322341040
7241335501000
oct46253737320
914246778386
105145345744
112200460460
12bb71ba780
1363ccbb1a6
1436b4d8000
15201ab6d49
hex132afbed0

5145345744 has 160 divisors (see below), whose sum is σ = 16910822400. Its totient is φ = 1336406400.

The previous prime is 5145345743. The next prime is 5145345767. The reversal of 5145345744 is 4475435415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5145345696 and 5145345705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145345743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 166899 + ... + 195309.

It is an arithmetic number, because the mean of its divisors is an integer number (105692640).

Almost surely, 25145345744 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 5145345744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455411200).

5145345744 is an abundant number, since it is smaller than the sum of its proper divisors (11765476656).

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

5145345744 is a wasteful number, since it uses less digits than its factorization.

5145345744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28454 (or 28434 counting only the distinct ones).

The product of its digits is 672000, while the sum is 42.

The square root of 5145345744 is about 71731.0654040493. The cubic root of 5145345744 is about 1726.3871213705.

The spelling of 5145345744 in words is "five billion, one hundred forty-five million, three hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 343 392 462 528 539 588 616 686 784 924 1029 1078 1176 1232 1372 1617 1848 2058 2156 2352 2744 3234 3696 3773 4116 4312 5488 6468 7546 8232 8624 11319 12936 15092 16464 22638 25872 28411 30184 45276 56822 60368 85233 90552 113644 170466 181104 198877 227288 312521 340932 397754 454576 596631 625042 681864 795508 937563 1193262 1250084 1363728 1392139 1591016 1875126 2187647 2386524 2500168 2784278 3182032 3750252 4176417 4375294 4773048 5000336 5568556 6562941 7500504 8352834 8750588 9546096 9744973 11137112 13125882 15001008 15313529 16705668 17501176 19489946 22274224 26251764 29234919 30627058 33411336 35002352 38979892 45940587 52503528 58469838 61254116 66822672 77959784 91881174 105007056 107194703 116939676 122508232 155919568 183762348 214389406 233879352 245016464 321584109 367524696 428778812 467758704 643168218 735049392 857557624 1286336436 1715115248 2572672872 5145345744