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45151013166 = 23719431498831
BaseRepresentation
bin101010000011001101…
…011100100100101110
311022112122121010011220
4222003031130210232
51214432124410131
632424142524210
73155612164620
oct520315344456
9138478533156
1045151013166
111816a62a516
128900b96666
1343472a624c
14228473cc10
151293d1ce96
hexa8335c92e

45151013166 has 128 divisors (see below), whose sum is σ = 111919104000. Its totient is φ = 11855652480.

The previous prime is 45151013119. The next prime is 45151013191. The reversal of 45151013166 is 66131015154.

It is a super-2 number, since 2×451510131662 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5108371 + ... + 5117201.

It is an arithmetic number, because the mean of its divisors is an integer number (874368000).

Almost surely, 245151013166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45151013166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55959552000).

45151013166 is an abundant number, since it is smaller than the sum of its proper divisors (66768090834).

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

45151013166 is a wasteful number, since it uses less digits than its factorization.

45151013166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 45151013166 in words is "forty-five billion, one hundred fifty-one million, thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 149 258 266 298 301 399 447 602 798 817 894 903 1043 1634 1806 2086 2451 2831 3129 4902 5662 5719 6258 6407 8493 8831 11438 12814 16986 17157 17662 19221 19817 26493 34314 38442 39634 44849 52986 59451 61817 89698 118902 121733 123634 134547 167789 185451 243466 269094 335578 365199 370902 379733 503367 730398 759466 852131 1006734 1139199 1174523 1315819 1704262 2278398 2349046 2556393 2631638 2658131 3523569 3947457 5112786 5316262 7047138 7214927 7894914 7974393 9210733 14429854 15948786 18421466 21644781 25000561 27632199 43289562 50001122 50504489 55264398 56580217 75001683 101008978 113160434 150003366 151513467 169740651 175003927 303026934 339481302 350007854 396061519 525011781 792123038 1050023562 1075024123 1188184557 2150048246 2376369114 3225072369 6450144738 7525168861 15050337722 22575506583 45151013166