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45080083812 = 223172331309931
BaseRepresentation
bin101001111110111110…
…110111110101100100
311022100201010112101210
4221332332313311210
51214311000140222
632413130351420
73154061250531
oct517676676544
9138321115353
1045080083812
1118133594215
1288a128b570
1343356a070a
142279157d88
15128c9abd0c
hexa7efb7d64

45080083812 has 96 divisors (see below), whose sum is σ = 119965999104. Its totient is φ = 13091443200.

The previous prime is 45080083801. The next prime is 45080083831. The reversal of 45080083812 is 21838008054.

It is a super-3 number, since 3×450800838123 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9514 + ... + 300417.

It is an arithmetic number, because the mean of its divisors is an integer number (1249645824).

Almost surely, 245080083812 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 45080083812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59982999552).

45080083812 is an abundant number, since it is smaller than the sum of its proper divisors (74885915292).

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

45080083812 is a wasteful number, since it uses less digits than its factorization.

45080083812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310009 (or 310007 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 45080083812 in words is "forty-five billion, eighty million, eighty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 31 34 46 51 62 68 69 92 93 102 124 138 186 204 276 372 391 527 713 782 1054 1173 1426 1564 1581 2108 2139 2346 2852 3162 4278 4692 6324 8556 12121 24242 36363 48484 72726 145452 309931 619862 929793 1239724 1859586 3719172 5268827 7128413 9607861 10537654 14256826 15806481 19215722 21075308 21385239 28513652 28823583 31612962 38431444 42770478 57647166 63225924 85540956 115294332 121183021 163333637 220980803 242366042 326667274 363549063 441961606 484732084 490000911 653334548 662942409 727098126 883923212 980001822 1325884818 1454196252 1960003644 2651769636 3756673651 7513347302 11270020953 15026694604 22540041906 45080083812