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45645751284 = 22371674497247
BaseRepresentation
bin101010100000101100…
…101110001111110100
311100211010112102021220
4222200230232033310
51221440303020114
632545214510340
73204100325040
oct524054561764
9140733472256
1045645751284
11183a39225a1
128a1a8053b0
1343c59382b3
1422d0325020
1512c24970a9
hexaa0b2e3f4

45645751284 has 96 divisors (see below), whose sum is σ = 122740531200. Its totient is φ = 12932892672.

The previous prime is 45645751279. The next prime is 45645751289. The reversal of 45645751284 is 48215754654.

45645751284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45645751279) and next prime (45645751289).

It is a super-2 number, since 2×456457512842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645751289) 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, 6294949 + ... + 6302195.

It is an arithmetic number, because the mean of its divisors is an integer number (1278547200).

Almost surely, 245645751284 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 45645751284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61370265600).

45645751284 is an abundant number, since it is smaller than the sum of its proper divisors (77094779916).

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

45645751284 is a wasteful number, since it uses less digits than its factorization.

45645751284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7875 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 51.

The spelling of 45645751284 in words is "forty-five billion, six hundred forty-five million, seven hundred fifty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 449 501 668 898 1002 1169 1347 1796 2004 2338 2694 3143 3507 4676 5388 6286 7014 7247 9429 12572 14028 14494 18858 21741 28988 37716 43482 50729 74983 86964 101458 149966 152187 202916 224949 299932 304374 449898 524881 608748 899796 1049762 1210249 1574643 2099524 2420498 3149286 3253903 3630747 4840996 6298572 6507806 7261494 8471743 9761709 13015612 14522988 16943486 19523418 22777321 25415229 33886972 39046836 45554642 50830458 68331963 91109284 101660916 136663926 273327852 543401801 1086803602 1630205403 2173607204 3260410806 3803812607 6520821612 7607625214 11411437821 15215250428 22822875642 45645751284