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45265404528 = 24331933116661
BaseRepresentation
bin101010001010000001…
…110100001001110000
311022211121211210122000
4222022001310021300
51220200420421103
632443350414000
73161501406261
oct521201641160
9138747753560
1045265404528
1118219160433
128933361300
134364bb8346
1422959d8968
15129ddb6aa3
hexa8a074270

45265404528 has 160 divisors (see below), whose sum is σ = 137188243200. Its totient is φ = 14250297600.

The previous prime is 45265404473. The next prime is 45265404607. The reversal of 45265404528 is 82540456254.

45265404528 is a `hidden beast` number, since 4 + 52 + 6 + 540 + 4 + 52 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2708518 + ... + 2725178.

It is an arithmetic number, because the mean of its divisors is an integer number (857426520).

Almost surely, 245265404528 is an apocalyptic number.

45265404528 is a gapful number since it is divisible by the number (48) 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 45265404528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68594121600).

45265404528 is an abundant number, since it is smaller than the sum of its proper divisors (91922838672).

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

45265404528 is a wasteful number, since it uses less digits than its factorization.

45265404528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17028 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 45265404528 in words is "forty-five billion, two hundred sixty-five million, four hundred four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 331 342 432 456 513 662 684 912 993 1026 1324 1368 1986 2052 2648 2736 2979 3972 4104 5296 5958 6289 7944 8208 8937 11916 12578 15888 16661 17874 18867 23832 25156 33322 35748 37734 47664 49983 50312 56601 66644 71496 75468 99966 100624 113202 133288 142992 149949 150936 169803 199932 226404 266576 299898 301872 316559 339606 399864 449847 452808 599796 633118 679212 799728 899694 905616 949677 1199592 1266236 1358424 1799388 1899354 2399184 2532472 2716848 2849031 3598776 3798708 5064944 5514791 5698062 7197552 7597416 8547093 11029582 11396124 15194832 16544373 17094186 22059164 22792248 33088746 34188372 44118328 45584496 49633119 66177492 68376744 88236656 99266238 104781029 132354984 136753488 148899357 198532476 209562058 264709968 297798714 314343087 397064952 419124116 595597428 628686174 794129904 838248232 943029261 1191194856 1257372348 1676496464 1886058522 2382389712 2514744696 2829087783 3772117044 5029489392 5658175566 7544234088 11316351132 15088468176 22632702264 45265404528