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45041465616 = 2437223832621
BaseRepresentation
bin101001111100101011…
…100011100100010000
311022021000110112012020
4221330223203210100
51214221103344431
632405230531440
73153112066200
oct517453434420
9138230415166
1045041465616
1118113807854
128890366b80
13432a69bb04
142273d84400
1512893ce696
hexa7cae3910

45041465616 has 120 divisors (see below), whose sum is σ = 141239335104. Its totient is φ = 12309454080.

The previous prime is 45041465611. The next prime is 45041465629. The reversal of 45041465616 is 61656414054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45041465611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 362215 + ... + 470406.

Almost surely, 245041465616 is an apocalyptic number.

45041465616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45041465616 is an abundant number, since it is smaller than the sum of its proper divisors (96197869488).

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

45041465616 is a wasteful number, since it uses less digits than its factorization.

45041465616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832669 (or 832656 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 45041465616 in words is "forty-five billion, forty-one million, four hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 27048 54096 832621 1665242 2497863 3330484 4995726 5828347 6660968 9991452 11656694 13321936 17485041 19150283 19982904 23313388 34970082 38300566 39965808 40798429 46626776 57450849 69940164 76601132 81596858 93253552 114901698 122395287 134051981 139880328 153202264 163193716 229803396 244790574 268103962 279760656 306404528 326387432 402155943 459606792 489581148 536207924 652774864 804311886 919213584 938363867 979162296 1072415848 1608623772 1876727734 1958324592 2144831696 2815091601 3217247544 3753455468 5630183202 6434495088 7506910936 11260366404 15013821872 22520732808 45041465616