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45915362444 = 2273197619881
BaseRepresentation
bin101010110000110001…
…001101010010001100
311101111220212002021102
4222300301031102030
51223013313044234
633032045322232
73213553066310
oct526061152214
9141456762242
1045915362444
1118522030436
128a94b66378
134439756123
142318067b40
1512daea1c7e
hexab0c4d48c

45915362444 has 96 divisors (see below), whose sum is σ = 96033853440. Its totient is φ = 18795110400.

The previous prime is 45915362443. The next prime is 45915362453. The reversal of 45915362444 is 44426351954.

It is a super-3 number, since 3×459153624443 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45915362443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52116884 + ... + 52117764.

It is an arithmetic number, because the mean of its divisors is an integer number (1000352640).

Almost surely, 245915362444 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 45915362444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016926720).

45915362444 is an abundant number, since it is smaller than the sum of its proper divisors (50118490996).

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

45915362444 is a wasteful number, since it uses less digits than its factorization.

45915362444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The spelling of 45915362444 in words is "forty-five billion, nine hundred fifteen million, three hundred sixty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 97 124 194 217 388 434 619 679 868 881 1238 1358 1762 2476 2716 3007 3524 4333 6014 6167 8666 12028 12334 17332 19189 21049 24668 27311 38378 42098 54622 60043 76756 84196 85457 109244 120086 134323 170914 191177 240172 268646 341828 382354 420301 537292 545339 598199 764708 840602 1090678 1196398 1681204 1861333 2181356 2392796 2649167 3722666 3817373 5298334 7445332 7634746 10596668 13029331 15269492 16905509 18544169 26058662 33811018 37088338 52117324 52897883 67622036 74176676 105795766 118338563 211591532 236677126 370285181 473354252 740570362 1481140724 1639834373 3279668746 6559337492 11478840611 22957681222 45915362444