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45545240034 = 234767718443
BaseRepresentation
bin101010011010101101…
…010011010111100010
311100120010101220210000
4222122231103113202
51221234040140114
632531224320430
73201440103240
oct523255232742
9140503356700
1045545240034
1118352111a48
1289b1013116
1343aab75b98
1422c0c3d790
1512b8740e09
hexa9ab535e2

45545240034 has 160 divisors (see below), whose sum is σ = 120056656896. Its totient is φ = 12636660960.

The previous prime is 45545240023. The next prime is 45545240053. The reversal of 45545240034 is 43004254554.

45545240034 is a `hidden beast` number, since 45 + 545 + 2 + 40 + 0 + 34 = 666.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5390217 + ... + 5398659.

Almost surely, 245545240034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45545240034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60028328448).

45545240034 is an abundant number, since it is smaller than the sum of its proper divisors (74511416862).

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

45545240034 is a wasteful number, since it uses less digits than its factorization.

45545240034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 45545240034 its reverse (43004254554), we get a palindrome (88549494588).

The spelling of 45545240034 in words is "forty-five billion, five hundred forty-five million, two hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 71 81 126 134 142 162 189 201 213 378 402 426 469 497 567 603 639 938 994 1134 1206 1278 1407 1491 1809 1917 2814 2982 3618 3834 4221 4473 4757 5427 5751 8442 8443 8946 9514 10854 11502 12663 13419 14271 16886 25326 25329 26838 28542 33299 37989 40257 42813 50658 59101 66598 75978 75987 80514 85626 99897 118202 128439 151974 177303 199794 227961 256878 299691 354606 385317 455922 531909 565681 599382 599453 683883 770634 899073 1063818 1131362 1198906 1367766 1595727 1697043 1798146 1798359 2697219 3191454 3394086 3596718 3959767 4196171 4787181 5091129 5394438 5395077 7919534 8392342 9574362 10182258 10790154 11879301 12588513 15273387 16185231 23758602 25177026 30546774 32370462 35637903 37765539 40163351 45820161 48555693 71275806 75531078 80326702 91640322 97111386 106913709 113296617 120490053 213827418 226593234 240980106 281143457 320741127 339889851 361470159 562286914 641482254 679779702 722940318 843430371 1084410477 1686860742 2168820954 2530291113 3253231431 5060582226 6506462862 7590873339 15181746678 22772620017 45545240034