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45754996891536 = 2432432131092
BaseRepresentation
bin10100110011101001010100…
…10101100001111110010000
320000000010122101220002122100
422121310222111201332100
521444122213201012121
6241151315544240400
712431455322355102
oct1231645225417620
9200003571802570
1045754996891536
1113640648a078a9
12516b75ba70100
131c6b8a6b7941a
14b427a7389572
155452d48cb026
hex299d2a561f90

45754996891536 has 135 divisors (see below), whose sum is σ = 131107615195089. Its totient is φ = 14895839339136.

The previous prime is 45754996891531. The next prime is 45754996891547. The reversal of 45754996891536 is 63519869945754.

The square root of 45754996891536 is 6764244.

It is a perfect power (a square), and thus also a powerful number.

45754996891536 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 499 + 6 + 8 + 91 + 5 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17507897851536 + 28247099040000 = 4184244^2 + 5314800^2 .

It is not an unprimeable number, because it can be changed into a prime (45754996891531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3490343350 + ... + 3490356458.

Almost surely, 245754996891536 is an apocalyptic number.

45754996891536 is the 6764244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45754996891536

45754996891536 is an abundant number, since it is smaller than the sum of its proper divisors (85352618303553).

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

45754996891536 is an frugal number, since it uses more digits than its factorization.

45754996891536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26318 (or 13157 counting only the distinct ones).

The product of its digits is 8817984000, while the sum is 81.

The spelling of 45754996891536 in words is "forty-five trillion, seven hundred fifty-four billion, nine hundred ninety-six million, eight hundred ninety-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 11094 13109 14792 16641 22188 26218 29584 33282 39327 44376 52436 66564 78654 88752 104872 117981 133128 157308 209744 235962 266256 314616 471924 563687 629232 943848 1127374 1691061 1887696 2254748 3382122 4509496 5073183 6764244 9018992 10146366 13528488 20292732 24238541 27056976 40585464 48477082 72715623 81170928 96954164 145431246 171845881 193908328 218146869 290862492 343691762 387816656 436293738 515537643 581724984 687383524 872587476 1031075286 1163449968 1374767048 1546612929 1745174952 2062150572 2749534096 3093225858 3490349904 4124301144 6186451716 7389372883 8248602288 12372903432 14778745766 22168118649 24745806864 29557491532 44336237298 59114983064 66504355947 88672474596 118229966128 133008711894 177344949192 266017423788 317743033969 354689898384 532034847576 635486067938 953229101907 1064069695152 1270972135876 1906458203814 2541944271752 2859687305721 3812916407628 5083888543504 5719374611442 7625832815256 11438749222884 15251665630512 22877498445768 45754996891536