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45356911880 = 23571773130531
BaseRepresentation
bin101010001111011110…
…111000110100001000
311100002000000212010012
4222033132320310020
51220342332140010
632500420011052
73163662250460
oct521736706410
9140060025105
1045356911880
1118265881245
128959b30a88
13437ab473c7
1422a3c18ba0
1512a6e40005
hexa8f7b8d08

45356911880 has 128 divisors (see below), whose sum is σ = 125185409280. Its totient is φ = 14435573760.

The previous prime is 45356911879. The next prime is 45356911889. The reversal of 45356911880 is 8811965354.

45356911880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45356911889) 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, 282215 + ... + 412745.

It is an arithmetic number, because the mean of its divisors is an integer number (978011010).

Almost surely, 245356911880 is an apocalyptic number.

45356911880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45356911880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62592704640).

45356911880 is an abundant number, since it is smaller than the sum of its proper divisors (79828497400).

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

45356911880 is a wasteful number, since it uses less digits than its factorization.

45356911880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130639 (or 130635 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 45356911880 in words is "forty-five billion, three hundred fifty-six million, nine hundred eleven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 73 85 119 136 140 146 170 238 280 292 340 365 476 511 584 595 680 730 952 1022 1190 1241 1460 2044 2380 2482 2555 2920 4088 4760 4964 5110 6205 8687 9928 10220 12410 17374 20440 24820 34748 43435 49640 69496 86870 130531 173740 261062 347480 522124 652655 913717 1044248 1305310 1827434 2219027 2610620 3654868 4438054 4568585 5221240 7309736 8876108 9137170 9528763 11095135 15533189 17752216 18274340 19057526 22190270 31066378 36548680 38115052 44380540 47643815 62132756 66701341 76230104 77665945 88761080 95287630 124265512 133402682 155331890 161988971 190575260 266805364 310663780 323977942 333506705 381150520 533610728 621327560 647955884 667013410 809944855 1133922797 1295911768 1334026820 1619889710 2267845594 2668053640 3239779420 4535691188 5669613985 6479558840 9071382376 11339227970 22678455940 45356911880