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45266364432 = 2433731997213
BaseRepresentation
bin101010001010000101…
…011110100000010000
311022211200122120101000
4222022011132200100
51220201142130212
632443423142000
73161512514652
oct521205364020
9138750576330
1045266364432
1118219756643
128933744900
134365163233
142295ba86d2
15129e0061dc
hexa8a15e810

45266364432 has 160 divisors (see below), whose sum is σ = 132391328000. Its totient is φ = 14805255168.

The previous prime is 45266364401. The next prime is 45266364449. The reversal of 45266364432 is 23446366254.

45266364432 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 636 + 4 + 4 + 3 + 2 = 666.

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, 6272058 + ... + 6279270.

It is an arithmetic number, because the mean of its divisors is an integer number (827445800).

Almost surely, 245266364432 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 45266364432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66195664000).

45266364432 is an abundant number, since it is smaller than the sum of its proper divisors (87124963568).

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

45266364432 is a wasteful number, since it uses less digits than its factorization.

45266364432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7490 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 45266364432 in words is "forty-five billion, two hundred sixty-six million, three hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 199 216 219 292 398 432 438 584 597 657 796 876 1168 1194 1314 1592 1752 1791 1971 2388 2628 3184 3504 3582 3942 4776 5256 5373 7164 7213 7884 9552 10512 10746 14328 14426 14527 15768 21492 21639 28656 28852 29054 31536 42984 43278 43581 57704 58108 64917 85968 86556 87162 115408 116216 129834 130743 173112 174324 194751 232432 259668 261486 346224 348648 389502 392229 519336 522972 526549 697296 779004 784458 1038672 1045944 1053098 1435387 1558008 1568916 1579647 2091888 2106196 2870774 3116016 3137832 3159294 4212392 4306161 4738941 5741548 6275664 6318588 8424784 8612322 9477882 11483096 12637176 12918483 14216823 17224644 18955764 22966192 25274352 25836966 28433646 34449288 37911528 38755449 51673932 56867292 68898576 75823056 77510898 103347864 104783251 113734584 155021796 206695728 209566502 227469168 310043592 314349753 419133004 620087184 628699506 838266008 943049259 1257399012 1676532016 1886098518 2514798024 2829147777 3772197036 5029596048 5658295554 7544394072 11316591108 15088788144 22633182216 45266364432